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Place Value
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Place Value By the end of this lesson you will be able to: Goals
Read, write, compare and order whole numbers By the end of this lesson you will be able to: Use digits place value to read whole numbers. Use digits place value to write in words whole numbers. Understand standard, expanded and word form of a number.
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Digits Digits: are single symbols from 0 to 9 that are used to form numbers. With those 10 digits you can create any number you might think on.
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Digits Place Value is how our number system works. Without it we wouldn't be able to write large numbers. Just think.... with just 10 digits - 0,1,2,3,4,5,6,7,8,9, we can write ANY number we choose! , , ,465,789 We need letters to make words and we need digits to make numbers With those 10 digits you can create any number you might think on.
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Place Value Because the digit 4 is on the tens place, the value of 4 is 40 Because the digit 6 is on the hundreds place, the value of 6 is 600
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Therefore we have the term PLACE... VALUE.
The value of a digit (what it's worth) depends on its place (where it is in the number). Therefore we have the term PLACE... VALUE. Get it? COOL! So a 2 could be worth and into the thousands, millions, billions, trillions, and so on, and so on, and so ON! WOW! Because the digit 4 is on the tens place, the value of 4 is 40 Because the digit 6 is on the hundreds place, the value of 6 is 600
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Place Value Place Value: Value of the digit depend on the position they are at within the number. 3 4 5 40 Because the digit 4 is on the tens place, the value of 4 is 40 Because the digit 6 is on the hundreds place, the value of 6 is 600 6 7 3 600
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Digit Positions’ Name There are period houses. Each house has three rooms THOUSANDS Units Hundred Ten Thousands Hundreds Tens Ones
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Example THOUSANDS ONES 5 7 1 3 2 4 571,324 : Five hundred seventy one thousand three hundred twenty four
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Standard Form/ Notation
Standard form of a number: is the way we normally write numbers. 549 Example number This is the standard form of Five Hundred Forty Nine
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Expanded Form/Notation
Expanded form: a number written as the sum of the values of its digits 3,456 Example number 3 ,000+ 4 00+ 0+ 5 6
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53,962 Word Form Example Word Form: numbers written in words.
Start from left to right. Read every room on the house first. Read the name of the house. Go to the neighbor's house and repeat the process. 53,962 Example read number
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Tip Do not use “and” when reading whole numbers. The word “and” will be used when you are reading numbers with decimals. 690,492 Six hundred and ninety-thousand, and four hundred and ninety-two.
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Word Form Example 5 3 9 6 2 Fifty three Thousand sixty two
ONES 5 3 9 6 2 Fifty three Thousand Nine hundred sixty two
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Base Ten Blocks 1 ten is 10 times 1 one 1 10
With those 10 digits you can create any number you might think on. 1 10
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Base Ten Blocks 1 hundred is 10 times 1 ten 100 10
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Base Ten Blocks 1 thousand is 10 times 1 hundred 1,000 100
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Base Ten Blocks 10 thousand is 10 times 1 thousand 1,000 10,000
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Numbers are divided into periods
Thousands Ones 690,492 Periods are separated by commas.
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Remember that each period has three place values within the period
Thousands Ones Hundreds Tens Ones Hundreds Tens Ones ,
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What digit is in the hundred’s place?
Thousands Ones Tens Hundreds 6 9 0, 4 1 2 4 Copyright © 2000 by Monica Yuskaitis
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What digit is in the ten thousand’s place?
Ones Tens Hundreds 6 9 0, 4 1 2 9 Copyright © 2000 by Monica Yuskaitis
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What digit is in the thousand’s place?
Ones Tens Hundreds 6 9 0, 4 1 2 Copyright © 2000 by Monica Yuskaitis
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What digit is in the hundred thousand’s place?
Ones Tens Hundreds 6 9 0, 4 1 2 6 Copyright © 2000 by Monica Yuskaitis
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What digit is in the hundred’s place?
7 4 3, 9 8 2 9 Copyright © 2000 by Monica Yuskaitis
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What digit is in the ten thousand’s place?
7 4 3, 9 8 2 4 Copyright © 2000 by Monica Yuskaitis
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What digit is in the thousand’s place?
7 4 3, 9 8 2 3 Copyright © 2000 by Monica Yuskaitis
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What digit is in the hundred thousand’s place?
7 4 3, 9 8 2 7 Copyright © 2000 by Monica Yuskaitis
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What is the value of the underlined digit?
7 4 3, 9 8 2 Ten thousand Copyright © 2000 by Monica Yuskaitis
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What is the value of the underlined digit?
7 4 3, 9 8 2 Thousand Copyright © 2000 by Monica Yuskaitis
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What is the value of the underlined digit?
7 4 3, 9 8 2 Hundred thousand Copyright © 2000 by Monica Yuskaitis
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What is the value of the underlined digit?
7 4 3, 9 8 2 Hundred Copyright © 2000 by Monica Yuskaitis
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What is the value of the underlined digit?
7 4 3, 9 8 2 Ten Copyright © 2000 by Monica Yuskaitis
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What is the value of the underlined digit?
7 4 3, 9 8 2 One Copyright © 2000 by Monica Yuskaitis
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133,472 Read this number One hundred thirty-three thousand,
four hundred seventy-two Copyright © 2000 by Monica Yuskaitis
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643,582 Read this number Six hundred forty-three thousand,
five hundred eighty-two Copyright © 2000 by Monica Yuskaitis
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54,931 Read this number Fifty-four thousand, nine hundred thirty-one
Copyright © 2000 by Monica Yuskaitis
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530,801 Read this number Five hundred thirty thousand,
eight hundred one Copyright © 2000 by Monica Yuskaitis
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4,268 Read this number Four thousand, two hundred sixty-eight
Copyright © 2000 by Monica Yuskaitis
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305,108 Read this number Three hundred five thousand,
one hundred eight Copyright © 2000 by Monica Yuskaitis
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