Visualizing Decimals
•
0 likes•1,333 views
This document discusses decimals and how to write fractional numbers without fractions by using a decimal point. It provides examples of fractions written as decimals, such as 7/10 written as 0.7. It also explains place value in decimals, such as the tenths place in 12.135 and the thousandths place in 47.891. Finally, it demonstrates how to read decimals out loud, such as one and thirty-eight hundredths for 1.38 and eight hundred fourteen and eight hundred twenty-three thousandths for 814.823.
Report
Share
Report
Share
Download to read offline
Recommended
Adding similar fractions
Fraction represents equal parts of a whole. A fraction consists of a numerator and denominator. To add similar fractions, you must make sure the denominators are the same. Then you add the numerators and put the sum over the original denominator. Finally, simplify the sum if possible. Examples are provided where the fractions 1/3 + 1/3 = 2/3, 2/5 + 1/5 = 3/5, and 3/5 + 2/5 = 1.
Visualizing Numbers Through 100,000
This document presents a lesson on visualizing numbers from 10,001 to 100,000 using representations like number discs, blocks, and grids. It provides examples of using these representations to show numbers like 24,631 and discusses having students practice visualizing various 4 and 5 digit numbers through hands-on activities of arranging the representations. The goal is for students to be able to visualize and comprehend the scale of large numbers.
Reading and Writing Numbers up to 10 000 (Math 3)
The document provides information about writing and reading numbers in the Philippines. It discusses writing numbers up to 10,000 in symbols and words. It notes the Philippines has over 7,600 islands with a total land area of 300,000 square kilometers. The three largest islands are Luzon, Visayas, and Mindanao. Numbers in the document like island counts, distances, and land areas are provided in both standard numerical form and written out words. The document also outlines rules for reading and writing numbers based on their place value in the thousands, hundreds, tens, and ones columns.
Place Value & Value (Math 4)
This document discusses place value and how to determine the value of digits in numbers up to 100,000. It provides a place value chart showing the place value names of millions, thousands, hundreds, tens and ones. It explains that the place value tells the position of a digit in a number from right to left. Examples are given of how to determine the value of a digit by multiplying it by its place value. The decimal numeration system and place value are key to finding the quantity a digit represents in a number.
Place Value and Decimals
The document reviews place value and place names for decimal numbers. It discusses how to read and write numbers with decimals, such as four and five tenths or five and sixty-seven hundredths. It has students practice comparing the value of decimal numbers, such as determining whether 0.3 or 0.03 is greater, by representing them with place value counters on a place value chart.
Divisibility Rules for 2, 5 and 10
Divisibility Rules for 2, 5, and 10. Grade 5 Math Lesson Week 1.
Divisibility Rules. The rules are shortcuts for finding out whether numbers are exactly divisible without doing division calculations.
Follow us on the following social media:
https://www.facebook.com/eliahsclassroom/
Q Week 5 - CHANGING FRACTION TO DECIMAL AND VICE VERSA.pptx
This document provides instruction on converting between rational numbers expressed as fractions and decimals. It begins by stating the learning objectives of expressing rational numbers between fraction and decimal form. Various types of fractions such as proper, improper, and mixed numbers are defined. Terminating and repeating decimals are also defined. The document then provides step-by-step examples of how to convert fractions to decimals using place value and how to convert decimals to base 10 fractions by simplifying the results. Multiple choice and short answer practice problems are included to assess comprehension.
Multiplication of decimals
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
Recommended
Adding similar fractions
Fraction represents equal parts of a whole. A fraction consists of a numerator and denominator. To add similar fractions, you must make sure the denominators are the same. Then you add the numerators and put the sum over the original denominator. Finally, simplify the sum if possible. Examples are provided where the fractions 1/3 + 1/3 = 2/3, 2/5 + 1/5 = 3/5, and 3/5 + 2/5 = 1.
Visualizing Numbers Through 100,000
This document presents a lesson on visualizing numbers from 10,001 to 100,000 using representations like number discs, blocks, and grids. It provides examples of using these representations to show numbers like 24,631 and discusses having students practice visualizing various 4 and 5 digit numbers through hands-on activities of arranging the representations. The goal is for students to be able to visualize and comprehend the scale of large numbers.
Reading and Writing Numbers up to 10 000 (Math 3)
The document provides information about writing and reading numbers in the Philippines. It discusses writing numbers up to 10,000 in symbols and words. It notes the Philippines has over 7,600 islands with a total land area of 300,000 square kilometers. The three largest islands are Luzon, Visayas, and Mindanao. Numbers in the document like island counts, distances, and land areas are provided in both standard numerical form and written out words. The document also outlines rules for reading and writing numbers based on their place value in the thousands, hundreds, tens, and ones columns.
Place Value & Value (Math 4)
This document discusses place value and how to determine the value of digits in numbers up to 100,000. It provides a place value chart showing the place value names of millions, thousands, hundreds, tens and ones. It explains that the place value tells the position of a digit in a number from right to left. Examples are given of how to determine the value of a digit by multiplying it by its place value. The decimal numeration system and place value are key to finding the quantity a digit represents in a number.
Place Value and Decimals
The document reviews place value and place names for decimal numbers. It discusses how to read and write numbers with decimals, such as four and five tenths or five and sixty-seven hundredths. It has students practice comparing the value of decimal numbers, such as determining whether 0.3 or 0.03 is greater, by representing them with place value counters on a place value chart.
Divisibility Rules for 2, 5 and 10
Divisibility Rules for 2, 5, and 10. Grade 5 Math Lesson Week 1.
Divisibility Rules. The rules are shortcuts for finding out whether numbers are exactly divisible without doing division calculations.
Follow us on the following social media:
https://www.facebook.com/eliahsclassroom/
Q Week 5 - CHANGING FRACTION TO DECIMAL AND VICE VERSA.pptx
This document provides instruction on converting between rational numbers expressed as fractions and decimals. It begins by stating the learning objectives of expressing rational numbers between fraction and decimal form. Various types of fractions such as proper, improper, and mixed numbers are defined. Terminating and repeating decimals are also defined. The document then provides step-by-step examples of how to convert fractions to decimals using place value and how to convert decimals to base 10 fractions by simplifying the results. Multiple choice and short answer practice problems are included to assess comprehension.
Multiplication of decimals
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
Lesson 1 - Quarter 3 (Percent in Relation to fraction, Ratio, and Decimal).pptx
This document discusses how to convert between percentages, fractions, decimals, and ratios. It provides examples of converting 28% to a fraction, 0.18 to a percentage, the ratio 9:10 to a percentage, and more. Various methods are presented, such as writing the percentage as a fraction over 100 or moving the decimal point when converting between percentage and decimal formats. Key relationships between percentages and other representations are emphasized.
Ordering numbers powerpoint
The document teaches how to put numbers in ascending and descending order. It provides examples of ordering small numbers and has interactive exercises for ordering larger numbers by asking the reader to identify the next number in the proper sequence. The reader works through examples of correctly ordering sets of numbers from smallest to largest.
Reading and writing_numbers
The document discusses how to write and read numbers in both figures and words. It explains that numbers can be written as figures using digits or as words using letters. It provides examples of numbers written in figures and words. The document then presents rules for converting between figures and words, such as using place value and following patterns like "forty-five" for two-digit numbers over 20. It provides practice problems and guidance for converting single- and multi-digit numbers between figures and words.
IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLE
The document discusses triangles and their classification. It begins by asking questions to establish that triangles have 3 sides and 3 angles, while quadrilaterals have 4 sides and 4 angles. It then defines the different types of triangles based on their angles (right, acute, obtuse) and their sides (equilateral, isosceles, scalene). Several key points are made, such as triangles being the strongest shape and most commonly used in construction due to their ability to hold their shape and provide support. The document provides examples and diagrams to illustrate each type of triangle. It concludes by assigning an art project to create something using different types of triangles.
Addition and Subtraction of Similar and Dissimilar Fraction.pptx
The document provides instructions for adding and subtracting fractions with similar and dissimilar denominators. It explains the steps for each process and provides multiple examples. For similar fractions, it describes adding the numerators and copying the denominator before reducing the answer. For dissimilar fractions, it outlines multiplying the denominators, cross multiplying the numerators and denominators, adding or subtracting the products, and reducing the final answer. Several word problems demonstrate applying the steps to real-world scenarios involving fractions.
Lesson 5. divisibility by 4,8,11 and 12
This document discusses divisibility rules for numbers 4, 8, 11, and 12. It provides examples for each rule: a number is divisible by 4 if the last two digits are divisible by 4; a number is divisible by 8 if the last three digits are divisible by 8; a number is divisible by 12 if it is divisible by both 3 and 4; and a number is divisible by 11 if the sum of alternating digits subtracted from each other is divisible by 11. The document concludes by restating the rules and thanking the reader.
Proper; Improper & Mixed Number Fractions
This document discusses different types of fractions:
- Proper fractions have a numerator less than the denominator (e.g. 1/4).
- Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3).
- Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4).
The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.
Order of Operations (MDAS Rules) Math 4
This document provides an explanation of the order of operations when solving mathematical expressions. It states that multiplication and division should be performed before addition and subtraction, from left to right if these operations are at the same level of precedence. It provides examples of solving expressions step-by-step using the proper order of operations. Finally, it gives practice problems for the reader to solve.
PRIME AND COMPOSITE NUMBERS.ppt
The document defines prime and composite numbers. A prime number is only divisible by 1 and itself, and has exactly two factors. Composite numbers have more than two factors. Some examples of prime numbers given are 2, 3, 5, 7, 11, while 4, 6, 8, 9, 10 are examples of composite numbers. One is special in that it is neither prime nor composite since it only has one factor.
Adding and Subtracting Fractions with Like Denominators
The document discusses adding and subtracting fractions with like denominators. It explains that fractions have like denominators if they have the same number on the bottom. To add fractions with like denominators, you add the top numbers and keep the bottom number the same. To subtract fractions with like denominators, you follow the same steps as addition but subtract the top numbers instead of adding them. Examples are provided to demonstrate both addition and subtraction of fractions with like denominators.
Comparing numbers up to 1000
The document introduces comparing numbers using the symbols <, >, and =. It explains that < means "less than", > means "greater than", and = means "equal to". An alligator puppet is used to help explain: the alligator wants to eat the bigger number, so its mouth points to the number > the other. Examples are given comparing different number pairs to reinforce understanding of which symbol applies based on whether the first number is less than, greater than, or equal to the second number.
5. lesson 4 subtraction of whole numbers
This document provides an overview of subtraction of whole numbers:
Subtraction means taking one number away from another. The subtraction equation includes the minuend, subtrahend, and difference. To solve a subtraction problem, start by subtracting the ones digits and borrowing from the next place value if needed. Word problems involving subtraction use terms like difference, fewer, decreased by, and left. Examples show how to set up and solve subtraction equations and word problems using the ESA method of stating the equation, setting it up, and finding the answer.
Visualizes, represents, and counts numbers from 0 to 100 using a variety of m...
This document contains the rules, schedule, and lessons for a math class. It introduces the class rules, then lists activities like singing, dancing, games, and lessons on numbers from 0-100 and writing numbers as words and symbols. Students are asked to count beads being made into a bracelet, practice writing numbers, and answer questions in their module.
Rhyming Words 1st Grade
LA 1.2.1 1st Grade Tech Integration using PowerPoint to identify rhyming words based on images. Students save template, edit text, add punctuation and delete images. For use in classroom centers and tech labs.
Math Grade 4 1st Quarter Lesson 1
This document outlines a Grade 4 lesson on visualizing numbers from 10,001 to 50,000. The lesson teaches students to use number discs representing 10,000s, 1,000s, 100s, 10s and 1s to visualize and represent whole numbers within this range. Students practice forming numbers with discs, writing numbers represented by configurations, and drawing number discs for given quantities in exercises and assignments designed to reinforce their understanding of visualizing four-digit numbers.
Decimals Add and Subtract
1. This document provides a lesson on adding and subtracting decimals. It emphasizes lining up the decimals and notes that adding and subtracting decimals follows the same process as whole numbers.
2. Examples are provided that demonstrate adding decimals by lining them up under each other with the decimals in the same column before adding. Adding zeros as placeholders is explained to help line up the decimals.
3. Subtracting decimals is demonstrated with examples of lining up the numbers with the larger number on top and subtracting left to right, borrowing as needed from the left.
Fractions-basic concepts
This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Place Value and Value of Digits in Three-digit Numbers.pptx
The document discusses place value and the value of digits in three-digit numbers. It explains that place value refers to the value of a digit's position in a number, such as ones, tens, or hundreds. Examples are provided to demonstrate how to determine the greatest value digit in a three-digit number. The document also explains expanded form, which shows the value of each digit by breaking down a number into its place value components, such as 100 + 40 + 9 for 149. Standard and word forms of writing numbers are also defined.
2-10 Adding and Subtracting Decimals
The document provides step-by-step instructions for adding and subtracting decimals. It explains how to line up the decimals properly, then add or subtract place values from right to left, regrouping when needed. Examples shown include adding 4.73 + 3.54 = 8.27 and subtracting 53.261 - 53.214 = 0.047. The steps emphasize placing decimals in the correct position in the final answer.
Ordering and Comparing Numbers (Math 4)
The document discusses comparing and ordering whole numbers. It explains that when comparing numbers, we look first at the digits in the highest place value and if they are the same, we compare the digits in the next place value. It provides examples of comparing numbers symbolically and stating whether the first number is greater than, less than or equal to the second number. It also discusses arranging numbers in ascending and descending order.
Decimals
This chapter discusses decimals including:
- Reading, writing, comparing, adding, subtracting, multiplying, and dividing decimals
- Converting fractions to decimals and decimals to fractions
- Rounding decimals to the nearest tenth or hundredth
- Important safety points when working with decimals in healthcare such as using leading zeros and avoiding trailing zeros.
Ch. 5 2 Triangles
The document provides an agenda for a math class on Tuesday, November 17th. It includes homework assignments on fractions, decimals, and converting between fractions and decimals. Students are asked to create a Thanksgiving folder and share homework. It also reviews concepts like least common multiples, writing fractions as decimals, and identifying terminating vs. repeating decimals.
More Related Content
What's hot
Lesson 1 - Quarter 3 (Percent in Relation to fraction, Ratio, and Decimal).pptx
This document discusses how to convert between percentages, fractions, decimals, and ratios. It provides examples of converting 28% to a fraction, 0.18 to a percentage, the ratio 9:10 to a percentage, and more. Various methods are presented, such as writing the percentage as a fraction over 100 or moving the decimal point when converting between percentage and decimal formats. Key relationships between percentages and other representations are emphasized.
Ordering numbers powerpoint
The document teaches how to put numbers in ascending and descending order. It provides examples of ordering small numbers and has interactive exercises for ordering larger numbers by asking the reader to identify the next number in the proper sequence. The reader works through examples of correctly ordering sets of numbers from smallest to largest.
Reading and writing_numbers
The document discusses how to write and read numbers in both figures and words. It explains that numbers can be written as figures using digits or as words using letters. It provides examples of numbers written in figures and words. The document then presents rules for converting between figures and words, such as using place value and following patterns like "forty-five" for two-digit numbers over 20. It provides practice problems and guidance for converting single- and multi-digit numbers between figures and words.
IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLE
The document discusses triangles and their classification. It begins by asking questions to establish that triangles have 3 sides and 3 angles, while quadrilaterals have 4 sides and 4 angles. It then defines the different types of triangles based on their angles (right, acute, obtuse) and their sides (equilateral, isosceles, scalene). Several key points are made, such as triangles being the strongest shape and most commonly used in construction due to their ability to hold their shape and provide support. The document provides examples and diagrams to illustrate each type of triangle. It concludes by assigning an art project to create something using different types of triangles.
Addition and Subtraction of Similar and Dissimilar Fraction.pptx
The document provides instructions for adding and subtracting fractions with similar and dissimilar denominators. It explains the steps for each process and provides multiple examples. For similar fractions, it describes adding the numerators and copying the denominator before reducing the answer. For dissimilar fractions, it outlines multiplying the denominators, cross multiplying the numerators and denominators, adding or subtracting the products, and reducing the final answer. Several word problems demonstrate applying the steps to real-world scenarios involving fractions.
Lesson 5. divisibility by 4,8,11 and 12
This document discusses divisibility rules for numbers 4, 8, 11, and 12. It provides examples for each rule: a number is divisible by 4 if the last two digits are divisible by 4; a number is divisible by 8 if the last three digits are divisible by 8; a number is divisible by 12 if it is divisible by both 3 and 4; and a number is divisible by 11 if the sum of alternating digits subtracted from each other is divisible by 11. The document concludes by restating the rules and thanking the reader.
Proper; Improper & Mixed Number Fractions
This document discusses different types of fractions:
- Proper fractions have a numerator less than the denominator (e.g. 1/4).
- Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3).
- Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4).
The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.
Order of Operations (MDAS Rules) Math 4
This document provides an explanation of the order of operations when solving mathematical expressions. It states that multiplication and division should be performed before addition and subtraction, from left to right if these operations are at the same level of precedence. It provides examples of solving expressions step-by-step using the proper order of operations. Finally, it gives practice problems for the reader to solve.
PRIME AND COMPOSITE NUMBERS.ppt
The document defines prime and composite numbers. A prime number is only divisible by 1 and itself, and has exactly two factors. Composite numbers have more than two factors. Some examples of prime numbers given are 2, 3, 5, 7, 11, while 4, 6, 8, 9, 10 are examples of composite numbers. One is special in that it is neither prime nor composite since it only has one factor.
Adding and Subtracting Fractions with Like Denominators
The document discusses adding and subtracting fractions with like denominators. It explains that fractions have like denominators if they have the same number on the bottom. To add fractions with like denominators, you add the top numbers and keep the bottom number the same. To subtract fractions with like denominators, you follow the same steps as addition but subtract the top numbers instead of adding them. Examples are provided to demonstrate both addition and subtraction of fractions with like denominators.
Comparing numbers up to 1000
The document introduces comparing numbers using the symbols <, >, and =. It explains that < means "less than", > means "greater than", and = means "equal to". An alligator puppet is used to help explain: the alligator wants to eat the bigger number, so its mouth points to the number > the other. Examples are given comparing different number pairs to reinforce understanding of which symbol applies based on whether the first number is less than, greater than, or equal to the second number.
5. lesson 4 subtraction of whole numbers
This document provides an overview of subtraction of whole numbers:
Subtraction means taking one number away from another. The subtraction equation includes the minuend, subtrahend, and difference. To solve a subtraction problem, start by subtracting the ones digits and borrowing from the next place value if needed. Word problems involving subtraction use terms like difference, fewer, decreased by, and left. Examples show how to set up and solve subtraction equations and word problems using the ESA method of stating the equation, setting it up, and finding the answer.
Visualizes, represents, and counts numbers from 0 to 100 using a variety of m...
This document contains the rules, schedule, and lessons for a math class. It introduces the class rules, then lists activities like singing, dancing, games, and lessons on numbers from 0-100 and writing numbers as words and symbols. Students are asked to count beads being made into a bracelet, practice writing numbers, and answer questions in their module.
Rhyming Words 1st Grade
LA 1.2.1 1st Grade Tech Integration using PowerPoint to identify rhyming words based on images. Students save template, edit text, add punctuation and delete images. For use in classroom centers and tech labs.
Math Grade 4 1st Quarter Lesson 1
This document outlines a Grade 4 lesson on visualizing numbers from 10,001 to 50,000. The lesson teaches students to use number discs representing 10,000s, 1,000s, 100s, 10s and 1s to visualize and represent whole numbers within this range. Students practice forming numbers with discs, writing numbers represented by configurations, and drawing number discs for given quantities in exercises and assignments designed to reinforce their understanding of visualizing four-digit numbers.
Decimals Add and Subtract
1. This document provides a lesson on adding and subtracting decimals. It emphasizes lining up the decimals and notes that adding and subtracting decimals follows the same process as whole numbers.
2. Examples are provided that demonstrate adding decimals by lining them up under each other with the decimals in the same column before adding. Adding zeros as placeholders is explained to help line up the decimals.
3. Subtracting decimals is demonstrated with examples of lining up the numbers with the larger number on top and subtracting left to right, borrowing as needed from the left.
Fractions-basic concepts
This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Place Value and Value of Digits in Three-digit Numbers.pptx
The document discusses place value and the value of digits in three-digit numbers. It explains that place value refers to the value of a digit's position in a number, such as ones, tens, or hundreds. Examples are provided to demonstrate how to determine the greatest value digit in a three-digit number. The document also explains expanded form, which shows the value of each digit by breaking down a number into its place value components, such as 100 + 40 + 9 for 149. Standard and word forms of writing numbers are also defined.
2-10 Adding and Subtracting Decimals
The document provides step-by-step instructions for adding and subtracting decimals. It explains how to line up the decimals properly, then add or subtract place values from right to left, regrouping when needed. Examples shown include adding 4.73 + 3.54 = 8.27 and subtracting 53.261 - 53.214 = 0.047. The steps emphasize placing decimals in the correct position in the final answer.
Ordering and Comparing Numbers (Math 4)
The document discusses comparing and ordering whole numbers. It explains that when comparing numbers, we look first at the digits in the highest place value and if they are the same, we compare the digits in the next place value. It provides examples of comparing numbers symbolically and stating whether the first number is greater than, less than or equal to the second number. It also discusses arranging numbers in ascending and descending order.
What's hot (20)
Lesson 1 - Quarter 3 (Percent in Relation to fraction, Ratio, and Decimal).pptx
Lesson 1 - Quarter 3 (Percent in Relation to fraction, Ratio, and Decimal).pptx
IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLE
IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLE
Addition and Subtraction of Similar and Dissimilar Fraction.pptx
Addition and Subtraction of Similar and Dissimilar Fraction.pptx
Adding and Subtracting Fractions with Like Denominators
Adding and Subtracting Fractions with Like Denominators
Visualizes, represents, and counts numbers from 0 to 100 using a variety of m...
Visualizes, represents, and counts numbers from 0 to 100 using a variety of m...
Place Value and Value of Digits in Three-digit Numbers.pptx
Place Value and Value of Digits in Three-digit Numbers.pptx
Similar to Visualizing Decimals
Decimals
This chapter discusses decimals including:
- Reading, writing, comparing, adding, subtracting, multiplying, and dividing decimals
- Converting fractions to decimals and decimals to fractions
- Rounding decimals to the nearest tenth or hundredth
- Important safety points when working with decimals in healthcare such as using leading zeros and avoiding trailing zeros.
Ch. 5 2 Triangles
The document provides an agenda for a math class on Tuesday, November 17th. It includes homework assignments on fractions, decimals, and converting between fractions and decimals. Students are asked to create a Thanksgiving folder and share homework. It also reviews concepts like least common multiples, writing fractions as decimals, and identifying terminating vs. repeating decimals.
Anjali DECIMALS
The document discusses decimals and decimal operations. It defines decimals as fractions with denominators that are powers of ten. It provides examples of decimals and how to convert decimals to fractions and vice versa. It also covers place value of decimals, rounding decimals to the nearest tenth, comparing decimals, and adding and subtracting decimals by lining up the decimal points.
5 2 Ex 1 & 3 Hex
The document discusses converting between fractions and decimals. It provides examples of writing fractions as decimals by dividing the numerator by the denominator. It also shows how to write decimals as fractions by determining if they are terminating or repeating decimals. If repeating, the repeating digits are written over the same number of 9s and then simplified. Examples are given of matching fractions to their decimal equivalents.
Converting Fractions to Decimals Hex
The document discusses converting between fractions and decimals. It provides examples of writing fractions as decimals by dividing the numerator by the denominator. It also shows how to write decimals as fractions by determining if they are terminating or repeating decimals. If repeating, the repeating digits are written over the same number of 9s and then simplified. Examples are given of matching fractions to their decimal equivalents.
Ch. 5 2 Rectangles
The document provides an agenda and homework assignments for a math class, including converting fractions to decimals and vice versa. Students are asked to create a Thanksgiving project folder and share it. They also have homework on fractions, decimals, and terminology around terminating and repeating decimals.
Motivation
Decimals are commonly used in measurements and commerce. They allow numbers to be represented on the number line through repeated subdivision into tenths. A decimal number locates a point on the number line through the place value of its digits. Decimals extend the place value concept for whole numbers to include tenths, hundredths, thousandths, and so on. While widely used today, decimals were not commonly adopted until the early 17th century. Decimals can represent both rational and some irrational numbers and are useful for approximations and measurements recorded to a given accuracy.
Decimals
The document discusses place value with decimals. It explains that the name of a decimal is based on the number of places to the right of the decimal point, with tenths, hundredths and thousandths as examples. Mixed decimals contain both whole numbers and decimals. To read decimals correctly, say "and" at the decimal point and read whole numbers to the left and fractional decimals to the right. Extra zeros after the decimal do not change a number's value. The document provides practice problems for writing decimals, identifying place values, writing decimals as words, and adding and subtracting decimals by lining up the decimals.
DECIMALS (1).pptx
The document defines decimals and decimal numbers. It discusses:
- Decimals are numbers with a decimal point separating whole numbers from fractional portions.
- The value of each digit is ten times less than the digit to its left as you move from left to right of the decimal point.
- Decimals can be terminating, repeating, or non-terminating/irrational.
- Terminating and repeating decimals can be written as fractions by considering the place value of the last decimal place.
- Addition, subtraction, multiplication and division of decimals follows patterns based on aligning the decimal points and considering total number of decimal places.
Numbering system
The document discusses the decimal number system and converting between decimal and other number bases. It provides the following key points:
- The decimal system is a base-10 system that uses the 10 symbols 0-9 as digits. It allows expressing any quantity.
- The Dewey Decimal System is used to organize library collections, assigning unique call numbers to topics broken down into the 10 broad subject areas.
- Converting a decimal number to a fraction involves reading the decimal as a fraction like "four tenths" and simplifying if needed.
- Converting between decimal and binary involves writing the decimal as a sum of powers of the base, with 0s and 1s in the appropriate places for binary
November 14
The document outlines a math lesson plan that includes reviewing fractions and greatest common factors, working with decimals through addition, subtraction, multiplication, division, and converting between fractions and decimals, and using Khan Academy for additional practice on specific topics from November 10th and 17th. Students will work through decimal word problems, comparisons, and operations during class work.
Numbers with one decimal digit
The document provides a complete lesson on numbers with one decimal digit (tenths) meant for fourth grade students. It explains that the number line between 0 and 1 is divided into ten equal parts called tenths, with each part represented by a decimal such as 0.1, 0.2, etc. The lesson includes exercises for students to write fractions as decimals and vice versa, shade parts of a figure to represent decimals, and compare and order decimal numbers.
Chapter2.1
The document provides examples and explanations for converting between fractions and decimals. It discusses terminating decimals, which end, and repeating decimals, which have a repeating pattern after the decimal point. Examples are given for writing fractions as decimals and decimals as fractions in simplest form. The steps shown include dividing the numerator by the denominator to write a fraction as a decimal, and identifying the place value of the decimal's final digit to write the decimal as a fraction.
Sec. 5.7
The document discusses how to write decimals as fractions by understanding place value. It explains that the place value tells you the denominator of the equivalent fraction. Several examples are provided of writing decimals like 0.1, 0.01, and 0.001 as fractions. The document also covers writing decimals greater than 1 as mixed numbers, like 2.7 as 2 7/10, and includes examples of writing decimals with leading zeros as fractions.
Place value with decimals
The document discusses place value with decimals. It explains that the name of a decimal is based on the number of places to the right of the decimal point, and provides examples of tenths, hundredths and thousandths. It also defines mixed decimals as numbers with both whole numbers and decimals. The document demonstrates how to read decimals aloud by stating the whole number part followed by "and" and the decimal fraction part. It notes that adding extra zeros after the decimal point does not change the value of the decimal. Finally, it provides some practice problems to reinforce the concepts.
decimals-comp-packet.pdf
This document provides information about performing arithmetic operations with decimal numbers. It contains a glossary defining decimal-related terms, explanations of place value and how to write and compare decimals. The bulk of the document consists of examples and exercises for adding, subtracting, multiplying and dividing decimals. It concludes with decimal word problems and answers to the exercises. The overall purpose is to teach the essential skills for working with decimal numbers.
decimals. .pptx
Decimal numbers have a dot that separates the whole numbers from the fractional or partial numbers. There are several key operations for decimals: comparing decimals involves looking at the same place value; rounding decimals involves dropping digits and increasing or keeping the last digit as appropriate; adding and subtracting decimals involves lining up the decimals; multiplying decimals involves multiplying the numbers and counting total decimal places in the factors; and dividing decimals uses moving the decimals to represent division of whole numbers, with remainders requiring annexing zeros. Repeating decimals occur when the division has a non-terminating repeating portion.
Place Value Review
The document provides information and examples about place value concepts including:
- Place value means the value of a digit depends on its position in the number.
- Numbers can be written in standard, expanded, and decimal forms.
- Steps for comparing and ordering numbers include lining them up and comparing digits left to right.
- Rounding involves underlining the place value to round to and adjusting the underlined digit up or down based on the digit to its right.
EDI NS 1.2 Revised
Today's lesson will cover converting common fractions to decimal equivalents. A fraction represents a part of a whole, while a decimal is a number less than 1. To convert a fraction to a decimal, divide the numerator by the denominator. Understanding decimal equivalents is important for future standardized tests and other situations that require converting between fractions and decimals. Examples of common fraction-decimal conversions are provided.
decimals-110726084207-phpapp01.pptx
The document discusses decimals and their relationship to fractions. It defines decimals as numbers with values less than 1 that are written with a decimal point. Decimals extend the place value system to include values smaller than a whole unit. The value of each place decreases by a factor of 10 as you move right of the decimal point. Decimals can be added, subtracted, multiplied and divided following specific procedures. Decimals can represent either terminating or repeating decimals which can be converted to equivalent fractions.
Similar to Visualizing Decimals (20)
More from Sonarin Cruz
Congruence Postulates for Triangles
The document discusses the different postulates for proving that two triangles are congruent: SAS, ASA, SSS, and SAA. It explains each postulate and provides examples of how to use them to prove triangles are congruent by listing corresponding parts and reasons. Steps are outlined for setting up congruence proofs, including marking givens, choosing a postulate, listing statements equal parts, and stating reasons using properties or postulates.
Introduction to Triangle Congruence
The document introduces the concept of triangle congruence. Two triangles are congruent if their corresponding sides and angles are equal in measure. The document provides examples of naming corresponding parts of congruent triangles and questions to test understanding of triangle congruence.
Reasoning and Proof: An Introduction
The document discusses different types of reasoning and proof in mathematics. It explains that there are two main ways to write a proof: a two-column proof and a paragraph proof. It also describes the most common steps in writing a proof, which include drawing a figure, marking deductions from given information, and writing logical statements with justifications. Examples are then provided to illustrate solving equations using direct and indirect proofs through a series of logical statements and reasons.
Inductive and Deductive Reasoning
The document discusses inductive and deductive reasoning. Inductive reasoning involves forming general conclusions from specific observations, while deductive reasoning draws specific conclusions from general statements. Examples are given of inductive arguments building from specific cases to a general rule, and deductive arguments applying a general premise to specific cases. The key features of deductive reasoning, including conditional statements and the five types of if-then logical structures (conditional, converse, counter example, inverse, and contrapositive), are also explained through examples.
Axiomatic Development of Geometry: An Introduction
The document describes the key components of an axiomatic system for geometry:
- Undefined terms like point, line, and plane that can only be described, not defined.
- Defined terms with precise definitions like angle, parallel lines, and midpoint.
- Axioms/postulates that are accepted as true without proof, such as lines determined by points and planes containing points.
- Theorems that are proven true using definitions, axioms, and logical reasoning, such as the Vertical Angles Theorem.
Elimination of Systems of Linear Equation
The document discusses solving systems of linear equations by elimination. It involves eliminating one variable at a time through addition or subtraction of equations. This leaves an equation with one variable that can be solved for its value, which is then substituted back into the original equations to solve for the other variable. Two examples are provided showing the full process of setting up equations, eliminating variables, solving for values, and checking solutions.
Substitution Method of Systems of Linear Equations
This document provides examples of solving systems of linear equations by substitution. The method involves choosing one equation to isolate a variable, substituting that expression into the other equation, then solving the resulting equation for the remaining variable and back-substituting to find the solution set. The examples demonstrate these steps clearly, showing the process of identifying which equation to transform, performing the substitutions, solving for variables, and checking the solutions.
Graphical Solution of Systems of Linear Equations
This document demonstrates solving systems of linear equations graphically by:
1) Writing each equation in the system as an equation for y in terms of x or vice versa.
2) Plotting the points obtained from each equation on a coordinate plane.
3) Finding the point of intersection, which represents the solution to the original system of equations.
4) Verifying that the point satisfies both original equations.
Addition and Subtraction Property of Equality
This document discusses the addition and subtraction properties of equality. It explains that for any real numbers a, b, and c, if a + c = b + c, then the addition property of equality holds. Similarly, if a - c = b - c, then the subtraction property of equality holds. It provides examples of using these properties to solve equations by adding or subtracting the same quantity to both sides of an equation. The document encourages working through practice problems to determine the solution of equations.
Translating Mathematical Phrases into Algebraic Expressions or Equations
The document provides examples of translating mathematical phrases into algebraic expressions and equations, and vice versa. It gives phrases like "twice a number plus 7" and their algebraic equivalents, as well as expressions like "3x + 2" and their word translations. The document aims to help readers learn how to interconvert between mathematical language and symbolic algebraic representations.
Algebraic Expressions and Equations
This document defines and provides examples of algebraic expressions, polynomials, and equations. It discusses the components of algebraic expressions including terms, variables, constants, and coefficients. It defines polynomials as expressions involving addition, subtraction, multiplication, division, and exponents. The document describes different types of polynomials including monomials, binomials, trinomials, and multinomials. It also discusses determining the degree and type of polynomials. Finally, it provides a definition and examples of algebraic equations.
Introduction to Integers
Positive integers are numbers to the right of zero, negative integers are to the left of zero, and zero is neither positive nor negative. The document provides examples of terms that can be interpreted as positive or negative integers based on whether they are to the right or left of zero, above or below a reference point, or represent a gain or loss. Students are asked to represent various terms involving distances, monetary amounts, and weight changes as positive or negative integers.
Introduction to Polygons
A polygon is a closed figure made of line segments that intersect only at endpoints. It has at least 3 sides. Polygons are classified by the number of sides, such as triangles (3 sides), quadrilaterals (4 sides), and pentagons (5 sides). Polygons can also be classified as convex or nonconvex, where a convex polygon's diagonals are inside the figure and a nonconvex polygon has at least one diagonal outside the figure.
Circles for Grade School
Diane is trying an experiment where she puts a pin through a loop of string and inserts a pencil into the loop. As she stretches the string, she tries to draw a figure. The document then defines and illustrates key terms related to circles such as center, radius, diameter, chord, secant, tangent, inscribed, and circumscribed shapes. It provides examples of each term using diagrams of circles.
Congruent and Similar Polygons
Congruent polygons have exactly the same side and angle measurements, making them identical in size and shape. Similar polygons have the same shape but may differ in size, with their corresponding sides being proportional by a scale factor. Examples demonstrate congruent triangles with the same measurements as well as similar quadrilaterals where one has sides twice the length of the other.
Introduction to Percent
The document discusses converting between percentages, fractions, and decimals. It provides examples of writing 30% as the fraction 30/100 or 3/10, converting 25% to the decimal 0.25, and changing the decimal 1.25 to the percentage 125%. Percentages express a number out of 100, and moving the decimal point allows converting between percentage and decimal notations.
Mathematical Sentence
A mathematical sentence is composed of numbers, variables, or a combination that can be either true or false but not both. Examples provided are equations like 3 + 2 = 5 and 5 + 4 = 7, which are mathematical sentences even though one is true and one is false. A verbal sentence like "A number increased by 8 is 15" can be translated into a mathematical sentence or equation using a variable like x + 8 = 15 by representing the unknown number with x.
Solid Figures
The document defines and classifies solid figures. Solid figures have three dimensions and are made up of faces, edges, and vertices. Polyhedrons are solid figures with polygon faces, and are classified as prisms or pyramids. Prisms have two identical polygon bases, while pyramids have one polygon base and triangular faces that meet at a vertex. Non-polyhedrons like cylinders, cones, and spheres have curved surfaces rather than polygon faces. Cylinders have two circular bases, cones have one circular base and a vertex, and spheres have no bases and are made of curved surfaces.
Quadrilaterals
This document defines and describes different types of quadrilaterals. It states that a quadrilateral is a polygon with four sides, four vertices, and four angles whose interior angles sum to 360 degrees. It then describes parallelograms as quadrilaterals with two pairs of parallel sides, and specifies rectangles, rhombi, and squares as special types of parallelograms. Trapezoids are defined as quadrilaterals with only one pair of parallel sides, and kites as quadrilaterals where two pairs of consecutive sides are congruent.
Triangles
The document defines and classifies triangles. It states that a triangle is a three-sided polygon whose interior angles sum to 180 degrees. Triangles are classified based on side lengths as equilateral, isosceles, or scalene, and based on angle measures as acute, right, obtuse, or equiangular. The document provides examples of each type of triangle and states that determining missing angles is an important concept.
More from Sonarin Cruz (20)
Axiomatic Development of Geometry: An Introduction
Axiomatic Development of Geometry: An Introduction
Substitution Method of Systems of Linear Equations
Substitution Method of Systems of Linear Equations
Translating Mathematical Phrases into Algebraic Expressions or Equations
Translating Mathematical Phrases into Algebraic Expressions or Equations
Recently uploaded
The History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
In this research, it concludes that while the readiness of teachers in Caloocan City to implement the MATATAG Curriculum is generally positive, targeted efforts in professional development, resource distribution, support networks, and comprehensive preparation can address the existing gaps and ensure successful curriculum implementation.
Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...National Information Standards Organization (NISO)
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.How to Build a Module in Odoo 17 Using the Scaffold Method
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
A Strategic Approach: GenAI in Education
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
Biological Screening of Herbal Drugs in detailed.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
Thesis Statement for students diagnonsed withADHD.ppt
Presentation required for the master in Education.
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar KanvariaRecently uploaded (20)
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
Group Presentation 2 Economics.Ariana Buscigliopptx
Group Presentation 2 Economics.Ariana Buscigliopptx
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Visualizing Decimals
- 2. What is a decimal? It is a method of writing fractional numbers without writing a fraction having a numerator and denominator.
- 3. The fraction 7/10 could be written as the decimal 0.7. The period or decimal point indicates that this is a decimal number.
- 4. 9/10 Read the following. 0.9 3/100 0.03 4 5/10 4.5 20 2/100 20.02
- 5. If the decimal is less than 1, place a zero before the decimal point. Write 0.7 not .7
- 7. Determine the place value of the underlined digit. 12.135 tenths
- 8. Determine the place value of the underlined digit. 47.891 thousandths
- 9. Determine the place value of the underlined digit. 89.1246 hundredths
- 10. Determine the place value of the underlined digit. 0.45678 Hundred thousandths
- 11. 1.38 We read 1.38 as “One and thirty-eight hundredths or 1 and 38 hundredths, where the word “and” refers to the decimal point.
- 13. 814.823 The number 814.823 is read and written as “eight hundred fourteen and eight hundred twenty-three thousandths.
- 14. 1 946.2015 The number 1 946.2015 is read and written as “One thousand nine hundred forty-six and two thousand fifteen ten-thousandths.