DIVIDING WITH ZEROS
•Download as PPTX, PDF•
0 likes•566 views
The document discusses the steps for dividing numbers by 10, 100, or 1000. It explains that for numbers with terminal zeros, the same number of zeros should be canceled in both the dividend and divisor before dividing. For numbers without terminal zeros, the remainder is written as the ones, tens, or hundreds place depending on if dividing by 10, 100, or 1000, with the rest as the quotient. Examples are provided to demonstrate dividing numbers with and without terminal zeros by 10, 100, and 1000.
Report
Share
Report
Share
Recommended
Multiplication on decimals
The document discusses multiplying decimals. It provides steps for multiplying decimals which are: 1) write the problem vertically, 2) ignore the decimal points and multiply, 3) determine where the decimal point goes in the product by counting how many places the decimal point has moved. Examples are given showing the application of these steps. The key points are that decimals are multiplied like whole numbers and the decimal point is placed in the product by counting how many places it moves to the left.
Adding Integers Ppt
The document provides examples and instructions for adding and subtracting integers using a number chip method. It explains that to add integers with the same sign, the numbers are added together, while to add integers with different signs, the smaller number is subtracted from the larger number and the sign of the larger number determines the sign of the answer. For subtracting integers, the opposite of the number being subtracted is added instead. Several examples are worked through to demonstrate these methods.
Multiplying 3-digit numbers by 2-digit numbers
This document provides a lesson on multiplying 3-digit numbers by 2-digit numbers. It begins with a review of multiplication and then demonstrates multiplying without and with regrouping using short methods and lattice methods. Examples and exercises are provided for students to practice. Key skills learned are multiplying 3-digit and 2-digit numbers in various ways including short and lattice methods.
7. solving two step word problems involving addition and subtraction of whole...
This document provides examples and steps for solving two-step word problems involving addition and subtraction of whole numbers and money. It includes sample problems such as calculating the number of mangoes left after combining amounts picked and sold. The document also outlines George Polya's four-step approach to problem solving: understand the problem, make a plan, carry out the plan, and look back. Sample problems are then shown being solved using this approach.
Number patterns and sequences slide (ika) final!!
This document summarizes key concepts about number patterns, sequences, and related topics:
1) It defines terms like sequences, patterns, Fibonacci sequence, odd and even numbers, prime numbers, factors, prime factors, multiples, lowest common multiple (LCM), common factors, and highest common factor (HCF).
2) It provides examples of how to identify these concepts, like determining if a number is prime, finding all factors of a number, listing multiples, and calculating LCM and HCF.
3) The concepts are explained through clear definitions and visual diagrams, with multiple methods and examples provided to illustrate each topic.
Adding and subtracting polynomials
Adding and subtracting polynomials involves combining like terms. Like terms are terms that have the same variables and the same exponents. To add polynomials, terms are grouped by their like terms and the coefficients are combined by adding them. To subtract polynomials, the process is the same as adding the opposite of the second polynomial. The opposite of each term is found by changing its sign. Then the like terms are combined in the same way as when adding.
ROUNDING OFF NUMBERS
The document provides a lesson on rounding numbers to various place values including thousands, ten thousands, hundreds of thousands, and millions. It includes examples of rounding numbers up and down based on the digit in the place value being rounded to. Students are given practice problems to round numbers to different place values and assess their understanding of rounding numbers.
Long division
1) Long division is explained using a family as an analogy to represent the steps of the process.
2) The steps of long division are: divide, multiply, subtract, bring down, and repeat or get the remainder.
3) An example problem walks through dividing 947 by 2 using the long division steps step-by-step to get the answer of 473 with a remainder of 1.
Recommended
Multiplication on decimals
The document discusses multiplying decimals. It provides steps for multiplying decimals which are: 1) write the problem vertically, 2) ignore the decimal points and multiply, 3) determine where the decimal point goes in the product by counting how many places the decimal point has moved. Examples are given showing the application of these steps. The key points are that decimals are multiplied like whole numbers and the decimal point is placed in the product by counting how many places it moves to the left.
Adding Integers Ppt
The document provides examples and instructions for adding and subtracting integers using a number chip method. It explains that to add integers with the same sign, the numbers are added together, while to add integers with different signs, the smaller number is subtracted from the larger number and the sign of the larger number determines the sign of the answer. For subtracting integers, the opposite of the number being subtracted is added instead. Several examples are worked through to demonstrate these methods.
Multiplying 3-digit numbers by 2-digit numbers
This document provides a lesson on multiplying 3-digit numbers by 2-digit numbers. It begins with a review of multiplication and then demonstrates multiplying without and with regrouping using short methods and lattice methods. Examples and exercises are provided for students to practice. Key skills learned are multiplying 3-digit and 2-digit numbers in various ways including short and lattice methods.
7. solving two step word problems involving addition and subtraction of whole...
This document provides examples and steps for solving two-step word problems involving addition and subtraction of whole numbers and money. It includes sample problems such as calculating the number of mangoes left after combining amounts picked and sold. The document also outlines George Polya's four-step approach to problem solving: understand the problem, make a plan, carry out the plan, and look back. Sample problems are then shown being solved using this approach.
Number patterns and sequences slide (ika) final!!
This document summarizes key concepts about number patterns, sequences, and related topics:
1) It defines terms like sequences, patterns, Fibonacci sequence, odd and even numbers, prime numbers, factors, prime factors, multiples, lowest common multiple (LCM), common factors, and highest common factor (HCF).
2) It provides examples of how to identify these concepts, like determining if a number is prime, finding all factors of a number, listing multiples, and calculating LCM and HCF.
3) The concepts are explained through clear definitions and visual diagrams, with multiple methods and examples provided to illustrate each topic.
Adding and subtracting polynomials
Adding and subtracting polynomials involves combining like terms. Like terms are terms that have the same variables and the same exponents. To add polynomials, terms are grouped by their like terms and the coefficients are combined by adding them. To subtract polynomials, the process is the same as adding the opposite of the second polynomial. The opposite of each term is found by changing its sign. Then the like terms are combined in the same way as when adding.
ROUNDING OFF NUMBERS
The document provides a lesson on rounding numbers to various place values including thousands, ten thousands, hundreds of thousands, and millions. It includes examples of rounding numbers up and down based on the digit in the place value being rounded to. Students are given practice problems to round numbers to different place values and assess their understanding of rounding numbers.
Long division
1) Long division is explained using a family as an analogy to represent the steps of the process.
2) The steps of long division are: divide, multiply, subtract, bring down, and repeat or get the remainder.
3) An example problem walks through dividing 947 by 2 using the long division steps step-by-step to get the answer of 473 with a remainder of 1.
Subtraction without Regrouping
This document provides an overview of subtraction without regrouping. It defines subtraction and its parts, including the minuend, subtrahend, and difference. It then presents the step-by-step process for subtracting multi-digit numbers without regrouping, including writing the numbers in columns and sequentially subtracting the ones, tens, hundreds, etc. places from right to left. It demonstrates an example problem and shows how to check the answer by adding the difference and subtrahend. Finally, it presents some practice problems for the reader to try.
Subtraction without and with regrouping 3 4 digit numbers
Sean sold 342 boxes of cupcakes last week and 557 boxes this week. To find the increase in sales, we subtract last week's amount from this week's, giving 557 - 342 = 215. Another method is to write the numbers as 4986 - 2354 = 2632 to find the difference between them by arranging the digits in columns and subtracting. Subtraction allows regrouping of digits when the number in the top row is less than the number below it in a column.
Place value gr2
Place value is a system that determines the value of a digit in a number based on its position. Each position in a number has an associated place value, such as ones, tens, hundreds, and thousands. The value of the digit depends on which place value position it occupies. For example, in the number 5,728, the 8 is in the ones place and has a value of 8, the 2 is in the tens place and has a value of 20, the 7 is in the hundreds place and has a value of 700, and the 5 is in the thousands place and has a value of 5,000. Together these digit values make up the total value of the number.
Union & Intersection of Sets
The document discusses set operations of union and intersection. The union of sets contains all elements that are in any of the sets, while the intersection contains only elements that are common to all sets. This is demonstrated through examples using Venn diagrams to visually represent the relationships between sets. Specific symbols are used to denote union (∪) and intersection (∩).
FINDING ELAPSED TIME; Demonstration teaching
A powerpoint presentation of Finding Elapsed Time in third quarter competencies.
made during the demonstration teaching.
4-6 Estimating Products
This document provides examples of estimating products by rounding numbers to the greatest place value. It shows rounding dollar amounts and whole numbers to the nearest hundred, ten, or ones place. The steps shown are to round each number, then multiply the rounded numbers using mental math. Examples include estimating $187 x 18 by rounding to $200 x 20 = $4,000, and 147 x 353 by rounding to 100 x 400 = 40,000.
Finding the percentage in the given problem
The document provides information about percentages including how to calculate percentages, convert between ratio, decimal and fraction forms of percentages, and examples of percentage word problems. It discusses finding the percentage of a whole using the formula Percentage = Rate x Base and provides multiple examples of solving percentage problems including one where a student Allan scores 48 out of 50 on a test, getting 96% correct.
Properties Of Multiplication
The document discusses the four main properties of multiplication: the commutative property, the associative property, the distributive property, and the identity property. It provides examples and symbols to illustrate each property, which describe how the order or grouping of numbers does not change the sum or product of multiplication and addition. The document also includes a brief quiz for the reader to test their understanding of each property.
1. subtracting numbers without regrouping
This document contains instructions and examples for subtracting numbers without regrouping. It includes step-by-step explanations and examples of subtracting 3-digit and 4-digit numbers, identifying the minuend and subtrahend, and representing numbers using place value (thousands, hundreds, tens, ones). Practice problems are provided for students to subtract various 3-digit and 4-digit numbers.
3. subtracting mentally 2 digit numbers without regrouping
Dick gathered 56 shells at the beach. He gave 24 shells to his friend. The question is how many shells were left for Dick. By subtracting mentally, first the ones (6-4=2) then the tens (5-2=3), we get 32 shells left for Dick.
Ppt addition of dissimilar fractions (loids)
This document provides instructions on how to add dissimilar fractions. It begins by listing examples of finding the least common denominator of sets of fractions. It then works through an example problem of adding 1/2 kg of lanzones and 1/4 kg of grapes. The key steps are to first find the least common denominator to make the fractions similar, then add the numerators and keep the same denominator. Finally, it lists three practice problems for the student to solve.
DIVISION WITH ONE- DIGIT DIVISOR
This document explains the steps for dividing multi-digit numbers by one-digit and two-digit divisors. It uses a family as an analogy to represent the five steps in long division: 1) divide, 2) multiply, 3) subtract, 4) bring down, and 5) repeat or write the remainder. Two examples of long division problems are shown step-by-step: 655 divided by 3 and 374 divided by 5. The steps are demonstrated by dividing the numbers into groups and performing the operations on each group until a quotient and optionally a remainder are obtained.
fractions: 1 whole, 1/2, 1/3 and 1/4
The document explains fractions as equal parts or pieces of a whole. It provides examples of clicking on images to identify different fractions, including 1/2, 1/3, and 1/4. Users are asked to click on pictures of pizzas to identify which pizza shows a specific fractional portion or a whole.
Word problems addition and subtraction
1. What is asked? How much more does Mr. Lapus earn in a year than his wife?
2. What is the hidden question 1? How much does Mr. Lapus earn in a year?
3. What is the hidden question 2? How much does his wife earn in a year?
4. Step 1: Find Mr. Lapus' annual salary: 15,236 x 12 = 182,832
5. Step 2: Find wife's annual salary: 7,850 x 12 = 94,200
6. Step 3: Subtract their annual salaries: 182,832 - 94,200
7. What is the number sentence? 182,832 - 94,200
Least Common Denominator
This document provides instructions for computing the least common denominator (LCD) of fractions and constructing equivalent fractions using the LCD. It explains that to find the LCD, you identify the denominators and find the smallest number all denominators can be multiplied by to obtain the greatest number. Then to construct equivalent fractions, you multiply each numerator by the same number used to obtain the LCD for the denominator. The document notes that if the denominators cannot be made into the greatest number, to watch an additional video for guidance. It concludes by instructing the reader to complete practice problems and check their work.
Comparing and Ordering Numbers
This document discusses comparing and ordering numbers. It explains how to compare numbers by lining them up based on place value and comparing the digits from left to right. Lower digits represent smaller values. It provides examples of comparing standard and word forms of numbers. The document also demonstrates how to order numbers from least to greatest or greatest to least by comparing place values from left to right and arranging the numbers in the appropriate order.
Subtraction with regrouping
The document discusses regrouping or borrowing in subtraction. It explains that regrouping involves taking ten from one number to give to another when subtracting two numbers where the number being subtracted is larger than the number it is being subtracted from. Examples are provided to demonstrate regrouping, and an interactive game asks the reader to identify when regrouping is necessary in subtraction problems. The document concludes by recapping that regrouping is needed when the number being subtracted is larger than the number it is being subtracted from.
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.
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.
Decimals
The document defines decimals and the decimal system. It discusses place value and how numbers are written with the decimal point separating whole numbers from fractional amounts. It provides examples of how to write, round, add, subtract, multiply and divide decimals. It also explains how to convert a decimal to a fraction by multiplying the top and bottom of a decimal fraction by powers of ten.
More Related Content
What's hot
Subtraction without Regrouping
This document provides an overview of subtraction without regrouping. It defines subtraction and its parts, including the minuend, subtrahend, and difference. It then presents the step-by-step process for subtracting multi-digit numbers without regrouping, including writing the numbers in columns and sequentially subtracting the ones, tens, hundreds, etc. places from right to left. It demonstrates an example problem and shows how to check the answer by adding the difference and subtrahend. Finally, it presents some practice problems for the reader to try.
Subtraction without and with regrouping 3 4 digit numbers
Sean sold 342 boxes of cupcakes last week and 557 boxes this week. To find the increase in sales, we subtract last week's amount from this week's, giving 557 - 342 = 215. Another method is to write the numbers as 4986 - 2354 = 2632 to find the difference between them by arranging the digits in columns and subtracting. Subtraction allows regrouping of digits when the number in the top row is less than the number below it in a column.
Place value gr2
Place value is a system that determines the value of a digit in a number based on its position. Each position in a number has an associated place value, such as ones, tens, hundreds, and thousands. The value of the digit depends on which place value position it occupies. For example, in the number 5,728, the 8 is in the ones place and has a value of 8, the 2 is in the tens place and has a value of 20, the 7 is in the hundreds place and has a value of 700, and the 5 is in the thousands place and has a value of 5,000. Together these digit values make up the total value of the number.
Union & Intersection of Sets
The document discusses set operations of union and intersection. The union of sets contains all elements that are in any of the sets, while the intersection contains only elements that are common to all sets. This is demonstrated through examples using Venn diagrams to visually represent the relationships between sets. Specific symbols are used to denote union (∪) and intersection (∩).
FINDING ELAPSED TIME; Demonstration teaching
A powerpoint presentation of Finding Elapsed Time in third quarter competencies.
made during the demonstration teaching.
4-6 Estimating Products
This document provides examples of estimating products by rounding numbers to the greatest place value. It shows rounding dollar amounts and whole numbers to the nearest hundred, ten, or ones place. The steps shown are to round each number, then multiply the rounded numbers using mental math. Examples include estimating $187 x 18 by rounding to $200 x 20 = $4,000, and 147 x 353 by rounding to 100 x 400 = 40,000.
Finding the percentage in the given problem
The document provides information about percentages including how to calculate percentages, convert between ratio, decimal and fraction forms of percentages, and examples of percentage word problems. It discusses finding the percentage of a whole using the formula Percentage = Rate x Base and provides multiple examples of solving percentage problems including one where a student Allan scores 48 out of 50 on a test, getting 96% correct.
Properties Of Multiplication
The document discusses the four main properties of multiplication: the commutative property, the associative property, the distributive property, and the identity property. It provides examples and symbols to illustrate each property, which describe how the order or grouping of numbers does not change the sum or product of multiplication and addition. The document also includes a brief quiz for the reader to test their understanding of each property.
1. subtracting numbers without regrouping
This document contains instructions and examples for subtracting numbers without regrouping. It includes step-by-step explanations and examples of subtracting 3-digit and 4-digit numbers, identifying the minuend and subtrahend, and representing numbers using place value (thousands, hundreds, tens, ones). Practice problems are provided for students to subtract various 3-digit and 4-digit numbers.
3. subtracting mentally 2 digit numbers without regrouping
Dick gathered 56 shells at the beach. He gave 24 shells to his friend. The question is how many shells were left for Dick. By subtracting mentally, first the ones (6-4=2) then the tens (5-2=3), we get 32 shells left for Dick.
Ppt addition of dissimilar fractions (loids)
This document provides instructions on how to add dissimilar fractions. It begins by listing examples of finding the least common denominator of sets of fractions. It then works through an example problem of adding 1/2 kg of lanzones and 1/4 kg of grapes. The key steps are to first find the least common denominator to make the fractions similar, then add the numerators and keep the same denominator. Finally, it lists three practice problems for the student to solve.
DIVISION WITH ONE- DIGIT DIVISOR
This document explains the steps for dividing multi-digit numbers by one-digit and two-digit divisors. It uses a family as an analogy to represent the five steps in long division: 1) divide, 2) multiply, 3) subtract, 4) bring down, and 5) repeat or write the remainder. Two examples of long division problems are shown step-by-step: 655 divided by 3 and 374 divided by 5. The steps are demonstrated by dividing the numbers into groups and performing the operations on each group until a quotient and optionally a remainder are obtained.
fractions: 1 whole, 1/2, 1/3 and 1/4
The document explains fractions as equal parts or pieces of a whole. It provides examples of clicking on images to identify different fractions, including 1/2, 1/3, and 1/4. Users are asked to click on pictures of pizzas to identify which pizza shows a specific fractional portion or a whole.
Word problems addition and subtraction
1. What is asked? How much more does Mr. Lapus earn in a year than his wife?
2. What is the hidden question 1? How much does Mr. Lapus earn in a year?
3. What is the hidden question 2? How much does his wife earn in a year?
4. Step 1: Find Mr. Lapus' annual salary: 15,236 x 12 = 182,832
5. Step 2: Find wife's annual salary: 7,850 x 12 = 94,200
6. Step 3: Subtract their annual salaries: 182,832 - 94,200
7. What is the number sentence? 182,832 - 94,200
Least Common Denominator
This document provides instructions for computing the least common denominator (LCD) of fractions and constructing equivalent fractions using the LCD. It explains that to find the LCD, you identify the denominators and find the smallest number all denominators can be multiplied by to obtain the greatest number. Then to construct equivalent fractions, you multiply each numerator by the same number used to obtain the LCD for the denominator. The document notes that if the denominators cannot be made into the greatest number, to watch an additional video for guidance. It concludes by instructing the reader to complete practice problems and check their work.
Comparing and Ordering Numbers
This document discusses comparing and ordering numbers. It explains how to compare numbers by lining them up based on place value and comparing the digits from left to right. Lower digits represent smaller values. It provides examples of comparing standard and word forms of numbers. The document also demonstrates how to order numbers from least to greatest or greatest to least by comparing place values from left to right and arranging the numbers in the appropriate order.
Subtraction with regrouping
The document discusses regrouping or borrowing in subtraction. It explains that regrouping involves taking ten from one number to give to another when subtracting two numbers where the number being subtracted is larger than the number it is being subtracted from. Examples are provided to demonstrate regrouping, and an interactive game asks the reader to identify when regrouping is necessary in subtraction problems. The document concludes by recapping that regrouping is needed when the number being subtracted is larger than the number it is being subtracted from.
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.
What's hot (20)
Subtraction without and with regrouping 3 4 digit numbers
Subtraction without and with regrouping 3 4 digit numbers
3. subtracting mentally 2 digit numbers without regrouping
3. subtracting mentally 2 digit numbers without regrouping
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
Similar to DIVIDING WITH ZEROS
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.
Decimals
The document defines decimals and the decimal system. It discusses place value and how numbers are written with the decimal point separating whole numbers from fractional amounts. It provides examples of how to write, round, add, subtract, multiply and divide decimals. It also explains how to convert a decimal to a fraction by multiplying the top and bottom of a decimal fraction by powers of ten.
Decimalnumbers
This document provides information about decimal numbers and the sexagesimal system. It discusses [1] defining decimal numbers and reading them, [2] converting fractions to decimals, [3] converting decimals to fractions, [4] operations with decimals such as addition, subtraction, multiplication and division, [5] an introduction to the sexagesimal system which is base-60 and was used by ancient cultures, and [6] converting between sexagesimal and decimal forms as well as operations in the sexagesimal system.
Decimal numbers 1º eso
Decimal numbers represent quantities with fractional parts and are read as a whole number plus tenths, hundredths, etc. There are three types of decimal numbers: terminating, which have a finite number of decimal places; recurring, which repeat digits periodically; and non-recurring, which continue indefinitely without repetition. Operations on decimals involve lining up decimal points and applying the same rules as whole numbers, with the key being that the number of decimal places in the answer equals the total number of decimal places in the original numbers. Fractions can be converted to decimals by dividing the numerator by the denominator.
PPT_Q1W1_MATH 4.pptx
The document discusses numbers and place value in the Philippines. It notes that there are 42,045 barangays total in the Philippines. It then explains how to represent large numbers using number blocks for rods, cubes, flats, and blocks. An example shows breaking down 42,045 into its place value components. The document also covers place value, standard versus expanded notation for numbers, rounding numbers to the nearest ten thousand, and provides examples of all concepts.
Decimal numbers 1º eso
This document discusses decimal numbers and operations involving decimals. It defines decimal numbers as numbers with a decimal point separating the whole numbers to the left from fractional portions to the right in tenths, hundredths, etc. It provides methods for reading, writing, and converting decimals and fractions. The key methods covered for operations with decimals are: lining up decimal points before adding or subtracting; ignoring decimal points when multiplying but placing the point in the answer based on total decimal places; and converting divisors to whole numbers by shifting decimal points right before dividing 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.
Decimals part 02
It's the last part of decimal's sheets.
Multiplying, dividing process and conversion is available here.
It has been described easily for better understanding.
This sheet has been made with the help of sites
Decimals
The document summarizes key concepts about decimals including:
- How to represent fractions as decimals by moving the decimal point.
- Place value of decimals including tenths, hundredths, thousandths.
- Rules for adding, subtracting, multiplying and dividing decimals including ensuring decimal points are aligned.
- Rounding decimals to various place values.
- Solving multi-step word problems involving decimals using multiple arithmetic operations.
Number system
- A number line consists of several types of numbers including natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
- Rational numbers can be written as fractions p/q, while irrational numbers cannot. When writing decimals, rational numbers will either terminate or repeat, while irrational numbers will not terminate or repeat.
- There are methods to convert between rational numbers written as decimals and as fractions by multiplying or subtracting terms and solving for the value of the decimal. Geometric constructions can also represent irrational numbers.
Natural Numbers
The document discusses the evolution and development of number systems. It begins by explaining how primitive societies developed basic counting systems using marks and symbols. It then outlines the early number systems developed by ancient Egyptians and Romans, including their symbols for numbers up to 1,000. The rest of the document defines the natural number set and provides examples of arithmetic operations like addition, subtraction, multiplication and division using natural numbers. It also establishes rules and order of operations for performing calculations.
Maths Project- Fractions and Decimals
This document is a math project on integers, fractions, and decimals created by Anjali, Rakshita, Anusha, and Nikitha. It defines integers as the combination of positive and negative numbers. Fractions are explained as parts of a whole, with examples of proper, improper, and mixed fractions. Methods for adding, subtracting, multiplying, and dividing fractions are presented. Decimals are represented as fractions with 10 as the denominator. The key rules for multiplying and dividing decimals by powers of 10 or whole numbers are described.
Teoria y problemas de numeros racionales qa34 ccesa007
The document is a mathematics lesson in Spanish on rational numbers. It defines rational numbers as fractions with integer numerators and non-zero integer denominators. It discusses operations like addition, subtraction, multiplication and division of rational numbers, and how to convert between fractions, decimals, and mixed numbers. It also covers ordering and comparing rational numbers and solving problems involving rational number operations.
Lesson 15 - Fractions to Decimals - Rounding Repeaters - Decimals to Fractions
This document discusses how to convert decimals to fractions and fractions to decimals. It provides steps for converting terminating and non-terminating decimals to fractions. For terminating decimals, use the place value of the last digit to determine the denominator, and use the whole number part of the decimal as the numerator. For non-terminating decimals, write the repeating part as a fraction over a number of 9s equal to the number of repeating digits.
Lesson 8 dividing decimals by 10, 100, 1000, 10 000
This document discusses dividing decimals by powers of 10. It explains that when dividing a decimal by 10, 100, 1000, or 10,000, the decimal point moves to the left by the number of zeros in the divisor. Some examples are provided, such as 5.6/10 = 0.56 and 5.6/1000 = 0.0056. Students are instructed to practice these types of divisions using a calculator, identify patterns in a place value chart, and complete additional problems as in-class work and homework.
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.
Numbers-to-words-explanation.pptx
This document provides steps for writing numbers from 1 to 999 and longer numbers with commas in words. It explains that to write numbers from 1 to 9, learn the numbers and their names, then for 10-19 add 'teen' to the end. Numbers from 20-90 are written by counting in tens and adding 'ty'. Any number from 1 to 100 is written by combining the ones and tens place words. It also provides examples of writing longer numbers with commas like 4,517,801 as four million, five hundred and seventeen thousand, eight hundred and one in words.
SUBTRACTION WITH REGROUPING
The document discusses subtraction with regrouping for 4-5 digit numbers. It explains that subtraction with regrouping involves writing the minuend and subtrahend in columns and then subtracting the ones place, tens place, hundreds place and so on while regrouping the digits as needed. It provides an example of subtracting 43,657 - 34,691 step-by-step to demonstrate the process. The steps are to write the numbers in columns, subtract place values from right to left regrouping when needed, and then check the answer by adding the difference and subtrahend.
Decimales
Savita had Rs. 5.75 and Shama had Rs. 7.50. The document suggests writing currency amounts using the decimal format (Rs. x.xx) instead of writing it in paise to make it easier to say and for others to understand.
Similar to DIVIDING WITH ZEROS (20)
Teoria y problemas de numeros racionales qa34 ccesa007
Teoria y problemas de numeros racionales qa34 ccesa007
Lesson 15 - Fractions to Decimals - Rounding Repeaters - Decimals to Fractions
Lesson 15 - Fractions to Decimals - Rounding Repeaters - Decimals to Fractions
Lesson 8 dividing decimals by 10, 100, 1000, 10 000
Lesson 8 dividing decimals by 10, 100, 1000, 10 000
More from Johdener14
PARASITIC INFECTIONS
Pediculosis and parasitic worms are two common parasitic infections. Pediculosis refers to head lice or body lice infestations. Parasitic worms are infections caused by intestinal worms that can infect humans by entering through the mouth or skin.
Printmaking with Natural Objects
Printmaking is a simple way to produce multiple prints of an image or design by transferring it from a plate to materials like paper, cloth, or cardboard. The plate can be made from natural objects found in one's surroundings, such as fruits, vegetables, leaves, flowers, twigs, or stones. The basic printmaking process involves preparing the plate, inking it, and transferring the design.
God's Love and Loving God.pptx
This document discusses what it means to love God with all your heart, mind, soul, and strength. It explains that loving God requires total commitment to Him through regular prayer, Bible reading, and using your mind for His purposes. It also means giving God all your resources through tithing, almsgiving, and resource sharing. Loving God fully involves being dedicated to accomplishing His mission through obedience, as Jesus demonstrated.
Ten Commandments.pptx
The document lists four of the Ten Commandments: remember the Sabbath day and keep it holy by praying and going to temple; honor thy father and mother by showing them respect; thou shalt not kill any person; thou shalt not commit adultery by being unfaithful in marriage.
God's blessing.pptx
God blesses people with talents and abilities. People should develop their talents and use them to help others, as their talents are gifts from God. By sharing what we have been given through our talents, we can multiply God's blessings for others, just as Jesus multiplied loaves of bread and fish to feed many people.
Two Greatest Commandments.pptx
The document summarizes Jesus' condensing of the Ten Commandments into Two Great Commandments. The first commandment is to love God with all one's heart, soul, and mind, which encompasses the first three commandments about loving God. The second commandment is to love one's neighbor as oneself, representing the last seven commandments about loving others.
INVITATION from Jesus
The document is an invitation from Jesus to live as Christians by following his teachings and example. It explains that Christians are followers of Jesus Christ and that accepting his invitation involves participating in holy mass, serving others, learning to forgive, praying to God, and being good stewards of God's blessings.
Fractions
Fractions represent parts of a whole. The document defines fractions such as halves, thirds, and fourths by showing examples of wholes divided into equal parts. It explains that the numerator represents the number of parts being considered and the denominator represents the total number of equal parts the whole was divided into. Different types of fractions are also defined, including proper fractions where the numerator is less than the denominator, improper fractions where the numerator is greater than the denominator, and mixed numbers that combine a whole number and a fraction.
ODD AND EVEN NUMBERS
This document discusses odd and even numbers, defining even numbers as those that can be divided exactly by 2 and often end in 2, 4, 6, 8, or 0, while odd numbers cannot be divided exactly by 2 and often end in 1, 3, 5, 7, or 9, with 0 being neither odd nor even.
1-Digit divisor
655 ÷ 3 = 218 with a remainder of 1
The document provides a step-by-step explanation of the division process to calculate 655 ÷ 3. It breaks the calculation down into 5 steps: 1) Divide, 2) Multiply, 3) Subtract, 4) Bring Down, 5) Repeat or Remainder. Working through each digit, it arrives at a quotient of 218 with a remainder of 1.
Division
Division is one of the four basic mathematical operations. It involves splitting a number, called the dividend, into equal groups or parts using another number, called the divisor, to find the quotient. There are two forms of writing division - horizontal uses the division symbol ÷, while vertical stacks the dividend above the divisor with the answer below. Division is the opposite of multiplication, so if you know a multiplication fact you can derive the corresponding division fact.
Dividing by 10 AND 100
The document outlines the steps for division which are: divide, multiply, subtract, bring down remainder and repeat. It explains that when dividing multiples of 10 by 10, one zero is canceled, and when dividing multiples of 100 by 100, two zeros are canceled. The remaining digits of the dividend become the quotient. Examples are provided such as 34,000 divided by 10 equals 3,400 and 34,000 divided by 100 equals 340. To divide a number by 5, first divide the dividend by 10 and then multiply the quotient by 2.
Multiples
Multiples of a number are the products obtained when that number is multiplied by 1, 2, 3, and so on. Multiples can be found by skip counting or using a multiplication table and are numbers that are evenly divisible by the original number without a remainder. The document provides examples of finding the first ten multiples of 3 by multiplication and identifies multiples of other numbers using a hundreds chart.
Dividing by 5
This document outlines the steps for division and dividing by zero or multiples of 10 and 100. It explains that to divide by zero is undefined and results in a non-terminating decimal. It also provides instructions for dividing numbers by 5, which involves first dividing the dividend by 10 and then multiplying the quotient by 2.
2-DIGIT DIVISOR
Dividing numbers with two-digit divisors is done using the same process as one-digit division. The steps are: 1) Divide, 2) Multiply, 3) Subtract, 4) Bring Down the next digit, 5) Repeat until there is no digit left to bring down. This is demonstrated through examples of dividing 475 by 25 and 4163 by 23.
Elements of a Short Story.ppt
This document outlines the key elements of a short story, including title, characters, setting, plot, and lesson. It defines each element and provides examples. The plot section explains the 5 elements - exposition, rising action, climax, falling action, and resolution. It notes that characters are introduced through physical descriptions, actions, dialogue, thoughts, and what others say. Setting is established through descriptions of time, place, landscape, and weather. Conflict can be external between characters/nature or internal within a character.
More from Johdener14 (20)
Recently uploaded
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.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.
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
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 KanvariaThe simplified electron and muon model, Oscillating Spacetime: The Foundation...
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
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.South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)Academy of Science of South Africa
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.Introduction to AI for Nonprofits with Tapp Network
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
Assessment and Planning in Educational technology.pptx
In an education system, it is understood that assessment is only for the students, but on the other hand, the Assessment of teachers is also an important aspect of the education system that ensures teachers are providing high-quality instruction to students. The assessment process can be used to provide feedback and support for professional development, to inform decisions about teacher retention or promotion, or to evaluate teacher effectiveness for accountability purposes.
Recently uploaded (20)
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
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
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
Assessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptx
DIVIDING WITH ZEROS
- 1. MATHEMATICS
- 3. DIVIDE MULTIPLY SUBTRACT BRING DOWN REMAINDER/REPEAT Steps in Division:
- 4. D M S B R Steps in Division:
- 5. To divide numbers having terminal zeros, - by 10, cancel one zero - by 100, cancel two zeros - by 1000, cancel three zeros
- 6. 34 000 ÷ 10 = 3,400 34 000 ÷ 100 = 340 34 000 ÷ 1 000 = 34 DIVIDE:
- 7. To divide numbers by 10, 100, or 1000 when it has no terminal zeros: -by 10, write the ones as the remainder and the rest of the digit as quotient.
- 8. DIVIDE: 10 3 4 7 5 3 x 3 0 7 4 7 4 0 7 0 7 5 4 5 r. 5
- 9. To divide numbers by 10, 100, or 1000 when it has no terminal zeros: -by 100, write the tens and ones as the remainder and the rest of the digit as quotient.
- 10. DIVIDE: 100 3 4 7 5 x 3 0 0 7 3 4 4 0 0 7 5 4 5 r. 75
- 11. To divide numbers by 10, 100, or 1000 when it has no terminal zeros: -by 1 000, write the hundreds, tens and ones as the remainder and the rest of the digit as quotient.
- 12. DIVIDE: 1000 3 4 7 5 x 3 0 0 0 7 3 4 5 r. 475
- 13. To divide numbers by multiples of 10, 100, or 1000 when there are terminal zeros in the dividend, cancel the same number of zeros in both the dividend and the divisor, and then divide the nonzero.
- 15. MATHEMATICS