Place value
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This document provides information about place value and reading numbers in standard form, expanded form, and word form. It defines place value periods for numbers with commas and teaches how to read large numbers by stating the period before reading the numbers in each place value column from left to right except for the ones period. Examples are provided for writing numbers in standard, expanded, and word form as well as identifying place values of digits within large numbers.
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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.
Place value ppt
The document explains place value using numbers up to thousands. It shows how to write numbers in standard form by identifying the hundreds, tens, and ones places. Examples are provided breaking down numbers like 114, 235, 330, and 247. The document also asks questions about writing numbers in word form or identifying numbers written in standard form.
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The document provides information about reading and writing large numbers up to 100,000 in symbols and words. It includes:
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The document discusses standard form and expanded form of writing numbers. Standard form writes the whole number without separating the hundreds, tens, and ones places. Expanded form separates the hundreds, tens, and ones places with plus signs. Examples show 500 written as 521 in standard form but as 500 + 20 + 1 in expanded form. The document includes questions to test understanding of identifying numbers written in standard form versus expanded form.
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Adding numbers involves combining sets of objects or values to form a new total. It uses the plus sign to join two or more numbers together. When adding multi-digit numbers, you write the numbers in columns, add the ones place value first and then the tens, regrouping values of ten or more to the next column as needed, such as adding 47 + 38 by first adding 7 + 8 in the ones column and regrouping the ten value to the tens column to calculate the full sum.
Place value.pps
The document contains examples of using base-ten blocks to represent and decompose numbers into hundreds, tens, and ones. It shows writing numbers in expanded form by showing the value of each place value. For instance, it represents 145 as 1 hundred, 4 tens (40), and 5 ones, for a total of 145. It also asks the reader to represent numbers like 23 and 21 using base-ten blocks and write them in expanded form.
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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.
Place value ppt
The document explains place value using numbers up to thousands. It shows how to write numbers in standard form by identifying the hundreds, tens, and ones places. Examples are provided breaking down numbers like 114, 235, 330, and 247. The document also asks questions about writing numbers in word form or identifying numbers written in standard form.
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The document provides information about reading and writing large numbers up to 100,000 in symbols and words. It includes:
1) A place value chart to help read numbers correctly from left to right, stating the value of each digit based on its place.
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Place value.pps
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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.
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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.
Rounding
1) The document provides instructions for rounding numbers to the nearest ten or hundred using a memorization poem.
2) The poem states to find the number, look at the digit in the place value being rounded to, and if it is 4 or less ignore it but if 5 or more add 1 to the preceding digit.
3) Examples show using the poem to round 978 to the nearest ten (980) and 327 to the nearest hundred (300).
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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.
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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.
SUBTRACTION WITHOUT REGROUPING
1) The document describes the steps to subtract two-digit numbers without regrouping: write the numbers with the tens and ones columns aligned, subtract the ones and then tens digits, and check the answer by adding the difference and subtrahend.
2) It provides an example of subtracting 59 - 35 by subtracting the ones (5 - 3 = 2) and tens (9 - 5 = 4) places and writing the difference in the ones place.
3) Students are instructed to complete several practice problems subtracting two-digit numbers without regrouping and to check their work.
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1) Powers of 10 refer to numbers that are multiples of 10 raised to an exponent, such as 100 = 10^2 and 1000 = 10^3.
2) To multiply or divide a number by a power of 10, you simply move the decimal point in the number to the right when multiplying and to the left when dividing by the same number of places as the power of 10.
3) For example, to multiply 1.25 by 1000 (10^3), you move the decimal 3 places to the right to get 1250. And to divide 250.6 by 100 (10^2), you move the decimal 2 places to the left to get 2.506.
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This document provides instructions for converting decimals to fractions and fractions to decimals. It explains that the place value of the last digit determines the denominator of the fraction. For decimals, the place value is determined by powers of ten. For fractions, the place value determines where the digit goes in the decimal. It also addresses situations where the denominator is not a power of ten, in which case the fraction needs to be divided.
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The document explains how to multiply numbers by 10, 100, and 1,000. It notes that in the decimal system, each place value represents a number 10 times greater than the place to its right. To multiply a number like 6 by 10, we write the 6 in the ones place of the next column with a 0 placeholder. The same process is followed for multiplying by 100 and 1,000, moving the number over two and three columns respectively and adding zero placeholders. Examples are provided to demonstrate multiplying single-digit numbers by 10, 100 and 1,000.
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This document discusses multiplying numbers by multiples of 10 and 100. It explains that to multiply a number by 10, you write down the number and add a zero, and to multiply by 100 you write down the number and add two zeros. It then provides examples of multiplying various numbers by 10, 100, 1000, and 10,000. It emphasizes that when multiplying numbers with zeros, you first multiply the digits ignoring the zeros, then add the appropriate number of zeros based on how many are in the original numbers.
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.
Factors and Multiples
Factors are numbers that when multiplied together equal another number. The document provides examples of finding the factors of numbers like 8, 12, 17, and 30. It also has students find the factors of 16 and 24. Multiples are numbers obtained by multiplying a number by 1, 2, 3, and so on. Examples of multiples of 2, 3, and 10 are given. Students are assigned to write the factors of 28, 50, and 21 and the multiples of 5 and 9 on a quarter sheet of paper.
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The document explains place value and expanded form. It shows that the place value chart demonstrates the value of each digit in a number based on its position from the thousands place to the ones place. Expanded form writes out numbers by showing the value of each digit, such as 12,360 written as 10,000 + 2,000 + 300 + 60 + 0.
Place value #1
The document provides examples of place value concepts including:
1) Writing numbers in standard and expanded form by identifying the value of each digit based on its place value (thousands, millions, etc.);
2) Reading numbers aloud by stating the place value name of each group of digits separated by commas;
3) Identifying the place value of individual digits within large numbers.
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This document provides information on reading and understanding large numbers in standard form by identifying the place value of each digit. It explains that numbers are read in groups separated by commas starting from the left and identifies the place value of each period. Examples are given of writing numbers in standard, word, and expanded forms. Key places values explained include trillion, billion, million, thousand, hundreds, tens, and ones.
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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.
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.
Rounding
1) The document provides instructions for rounding numbers to the nearest ten or hundred using a memorization poem.
2) The poem states to find the number, look at the digit in the place value being rounded to, and if it is 4 or less ignore it but if 5 or more add 1 to the preceding digit.
3) Examples show using the poem to round 978 to the nearest ten (980) and 327 to the nearest hundred (300).
Lesson 2. Place Value through Hundred Thousands
This document explains place value through hundreds thousands. It defines place value as the position occupied by a digit in a number, starting from the right with ones, tens, hundreds, thousands, ten thousands, and hundreds thousands. The value of a digit depends on its place in the number. To get the value, multiply the digit by its place value. The expanded form of a number writes it as the sum of the values of its digits. Examples are provided to demonstrate place value and expanded form.
Place Value and Decimals
This document provides instruction on understanding decimals up to ten-thousandths. It explains that the decimal point is read as "and" and numbers to the right of the decimal are less than one. It demonstrates how to write decimals in standard form and word form, such as writing zero and three hundred eighteen thousandths for 0.318. Students are given examples and practice problems of writing decimals in standard and word form.
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.
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.
SUBTRACTION WITHOUT REGROUPING
1) The document describes the steps to subtract two-digit numbers without regrouping: write the numbers with the tens and ones columns aligned, subtract the ones and then tens digits, and check the answer by adding the difference and subtrahend.
2) It provides an example of subtracting 59 - 35 by subtracting the ones (5 - 3 = 2) and tens (9 - 5 = 4) places and writing the difference in the ones place.
3) Students are instructed to complete several practice problems subtracting two-digit numbers without regrouping and to 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.
Patterns powerpoint
Patterns are arrangements that follow a rule, such as shapes sorted in a specific order or numbers in a sequence. This document discusses how patterns can be found in shapes, numbers, size, and telling time. It encourages readers to identify more patterns after learning about them.
Simple Division for Primary School
Helping parents to understand the correct method of teaching their children Algebra / Mathematics / Math can be tricky.
There are many pit-falls in helping children with their homework because many of the ways we were taught are out of date.
Try this simple free online lesson and watch as your child learns how to do Simple Division by following this step-by-step guide.
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The document provides information about rounding numbers up to 100 to the nearest ten. It gives the rule for rounding which is to round down if the number is 4 or less, and round up if it is 5 or more. An example poem is also given to help remember the rounding rule. Several examples are worked out showing how to round numbers like 36, 74, 73, and 77 to the nearest ten. Students are then asked to round 5 numbers like 19, 73, and 92 to practice the skill.
Multiply And Divide Decimals By Powers Of 10
1) Powers of 10 refer to numbers that are multiples of 10 raised to an exponent, such as 100 = 10^2 and 1000 = 10^3.
2) To multiply or divide a number by a power of 10, you simply move the decimal point in the number to the right when multiplying and to the left when dividing by the same number of places as the power of 10.
3) For example, to multiply 1.25 by 1000 (10^3), you move the decimal 3 places to the right to get 1250. And to divide 250.6 by 100 (10^2), you move the decimal 2 places to the left to get 2.506.
Fraction To Decimal
This document provides instructions for converting decimals to fractions and fractions to decimals. It explains that the place value of the last digit determines the denominator of the fraction. For decimals, the place value is determined by powers of ten. For fractions, the place value determines where the digit goes in the decimal. It also addresses situations where the denominator is not a power of ten, in which case the fraction needs to be divided.
Multiply by 10, 100, 1000, etc...
The document explains how to multiply numbers by 10, 100, and 1,000. It notes that in the decimal system, each place value represents a number 10 times greater than the place to its right. To multiply a number like 6 by 10, we write the 6 in the ones place of the next column with a 0 placeholder. The same process is followed for multiplying by 100 and 1,000, moving the number over two and three columns respectively and adding zero placeholders. Examples are provided to demonstrate multiplying single-digit numbers by 10, 100 and 1,000.
Multiplying 10,100 &1000
This document discusses multiplying numbers by multiples of 10 and 100. It explains that to multiply a number by 10, you write down the number and add a zero, and to multiply by 100 you write down the number and add two zeros. It then provides examples of multiplying various numbers by 10, 100, 1000, and 10,000. It emphasizes that when multiplying numbers with zeros, you first multiply the digits ignoring the zeros, then add the appropriate number of zeros based on how many are in the original numbers.
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.
Factors and Multiples
Factors are numbers that when multiplied together equal another number. The document provides examples of finding the factors of numbers like 8, 12, 17, and 30. It also has students find the factors of 16 and 24. Multiples are numbers obtained by multiplying a number by 1, 2, 3, and so on. Examples of multiples of 2, 3, and 10 are given. Students are assigned to write the factors of 28, 50, and 21 and the multiples of 5 and 9 on a quarter sheet of paper.
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The document explains place value and expanded form. It shows that the place value chart demonstrates the value of each digit in a number based on its position from the thousands place to the ones place. Expanded form writes out numbers by showing the value of each digit, such as 12,360 written as 10,000 + 2,000 + 300 + 60 + 0.
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The document provides examples of place value concepts including:
1) Writing numbers in standard and expanded form by identifying the value of each digit based on its place value (thousands, millions, etc.);
2) Reading numbers aloud by stating the place value name of each group of digits separated by commas;
3) Identifying the place value of individual digits within large numbers.
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This document provides information on reading and understanding large numbers in standard form by identifying the place value of each digit. It explains that numbers are read in groups separated by commas starting from the left and identifies the place value of each period. Examples are given of writing numbers in standard, word, and expanded forms. Key places values explained include trillion, billion, million, thousand, hundreds, tens, and ones.
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This document provides examples of place value and expanded form for numbers up to the trillions. It gives the standard and expanded form of various numbers, identifies the place value of each digit, and teaches how to read and write out large numbers in word form.
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The document discusses place value and different ways to write numbers, including:
1) Place value refers to the value of a digit based on its position in a number from left to right.
2) Numbers can be written in standard form using digits or expanded form by writing out the value of each digit.
3) Very large numbers can be written out by saying the name of the place value for each section separated by commas, reading left to right.
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The document discusses three different ways to write numbers:
1) Standard form - the typical numerical representation, such as 536
2) Word form - writing out the number in words, such as "five hundred thirty-six"
3) Expanded form - writing the number as the sum of the value of its digits, such as 500 + 30 + 6 for 536
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This document provides an overview of place value and how to read and write large numbers in standard, expanded, and word forms. It defines key terms like digits, place value, periods, and short word form. It includes examples of writing numbers in standard, expanded, and word forms, as well as identifying place values of digits within large numbers.
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This document provides information about large numbers and place value systems. It covers topics like place value, the Indian and international place value systems, expanded and standard forms for writing numbers, and rounding numbers to the nearest ten, hundred or thousand. It also includes information about the largest and smallest numbers for a given number of digits. Roman numerals and their values are defined at the end.
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This document contains a math review with place value questions in the form of flash cards. It includes questions about identifying the value of digits in numbers, writing numbers in standard and word form, comparing and manipulating numbers, and using place value to solve word problems. The flash cards cover skills and concepts around multi-digit number representation and operations within the place value system.
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This document describes various 2D shapes. It defines circles as having one curved side and no corners. Semicircles are described as having one straight side and one curved side. Ovals are also said to have one curved side and no corners. Triangles are defined as having three straight sides and three corners. Squares are flat shapes with four equal straight sides and four corners. Rectangles have four straight sides, four corners and two short sides and two long sides. Pentagons, hexagons, heptagons and octagons are identified as having increasing numbers of straight sides and corners from five to eight.
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The document contains a series of scrambled words and letters that form phrases and concepts when unscrambled. Some of the phrases include "I understand", "It's a small world after all", "Water (H2O)", "Cross roads", "tent", "broken promise", "first aid", and "3 blind mice". The document provides scrambled information that conveys various high level ideas and essential concepts when unscrambled in 3 sentences or less.
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Place value
- 1. PLACE VALUE
- 2. WHAT ISTHE STANDARD FORM OF? 4,367 4,367
- 3. WHAT ISTHE EXPANDED FORM OF? 4,367 4,000 + 300 + 60 + 7
- 4. WHAT ISTHE EXPANDED FORM OF? 56,803 50,000 + 6,000 + 800 + 3
- 5. WHAT ISTHE STANDARD FORM OF? 6,823 6,000 + 800 + 20 + 3
- 6. WHAT ISTHE WORD FORM OF? 4,367 four thousand, three hundred sixty-seven
- 7. WHAT ARETHE PERIODS OFTHIS NUMBER? 684,367,671,690,492 Billion Million Thousand Ones
- 8. HOWTO READ LARGE NUMBERS 684,367,671,690,492 Billion Million Thousand Ones Read the numbers before the comma as if you were reading in the one’s column. Say the period you are in when you get to the comma except for the one’s period.
- 9. READTHIS NUMBER 4,371,024 four million, three hundred seventy-one thousand, twenty-four
- 10. READTHIS NUMBER 973,104 nine hundred seventy-three thousand, one hundred four
- 11. READTHIS NUMBER 384,133,472 three hundred eighty-four million, one hundred thirty-three thousand, four hundred seventy-two
- 12. READTHIS NUMBER 1,874,304,039,270 one trillion, eight hundred seventy-four billion, three hundred four million, thirty-nine thousand, two hundred seventy
- 13. READTHIS NUMBER 4,829,905 four million, eight hundred twenty-nine thousand, nine hundred five
- 14. REMEMBERTHAT EACH PERIOD HAS THREE PLACEVALUES WITHINTHE PERIOD 684,367,671,690,492
- 15. WHAT ISTHE PLACEVALUE OF 8 INTHIS NUMBER? 4,829,905 Hundred thousands
- 16. WHAT ISTHE PLACEVALUE OF 2 INTHIS NUMBER? 4,829,105 Ten thousands
- 17. WHAT ISTHE PLACEVALUE OF 4 INTHIS NUMBER? 4,829,105 Millions
- 18. WHAT ISTHE PLACEVALUE OF 9 INTHIS NUMBER? 4,829,105 Thousands
- 19. WHAT ISTHE PLACEVALUE OF 6 INTHIS NUMBER? 654,829,105 Hundred millions
- 20. WHAT ISTHE PLACEVALUE OF 5 INTHIS NUMBER? 654,829,103 Ten millions
- 21. WHAT ISTHE PLACEVALUE OF 7 INTHIS NUMBER? 254,729,103 Hundred thousands
- 22. WHAT ISTHE PLACEVALUE OF 2 INTHIS NUMBER? 254,789,103 Hundred millions
- 23. WHAT ISTHE PLACEVALUE OF 3 INTHIS NUMBER? 234,789,104 Ten millions
- 24. WHAT ISTHE PLACEVALUE OF 3 INTHIS NUMBER? 264,789,134 Tens
- 25. WHAT ISTHIS NUMBER IN STANDARD FORM? Ninety thousand, four hundred eight 90,408
- 26. WHAT ISTHIS NUMBER IN STANDARD FORM? Seven million, twenty-two thousand, two hundred 7,022,200
- 27. WHAT ISTHIS NUMBER IN EXPANDED FORM? 7,021,500 7,000,000 + 20,000 + 1,000 + 500