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Place Value

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**What is place value? Place Value: tells us what value**

each number has because of its place, or position, in any number.

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Tens Ones Thousands Hundreds

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How Many? Hundreds Tens Ones 200 30 5 235

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How Many? Hundreds Tens Ones

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**3 4 7 Which numeral is in the tens place?**

Hundreds Ones If you said “4,” you were right! 4 = 4 tens or 40

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**6 9 2 Which numeral is in the hundreds place?**

Tens Ones If you said “6,” you were right! 6 = 6 hundreds or 600

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**What is the standard form of?**

4,367 4,367 Standard Form is written using numbers – how we usually see numbers in the real world.

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**What is the expanded form of?**

4,367 4, or (4*1,000) + (3* 100) + (6*10) + (7*1) (4*10³) + (3* 10²) + (6*10) + (7*1) Expanded Form- is writing out each digits value.

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**What is the expanded form of?**

56,803 50, , (5*10,000) + (6* 1,000) + (8*100) + (3*1) (5*10⁴) + (6* 10³) + (8*10²) + (3*1)

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**What is the expanded form of?**

79.503 (7*10)+ (9*1) + (5*.1) + (3*.001)

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**What is the standard form of?**

6, 6,823

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**four thousand, three hundred**

What is the word form of? 4,367 four thousand, three hundred sixty-seven Word Form is writing numbers using words.

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What is the word form of? 29.012 Twenty-nine and twelve thousandths

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**What are the periods of this number?**

Trillion Billion Million Thousand Ones 684,367,671,690,492

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**How to read large numbers**

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. Trillion Billion Million Thousand Ones 684,367,671,690,492

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**4,371,024 Read this number four million, three hundred**

seventy-one thousand, twenty-four

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**973,104 Read this number nine hundred seventy-three**

thousand, one hundred four

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**384,133,472 Read this number three hundred eighty-four million,**

one hundred thirty-three thousand, four hundred seventy-two

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Read this number 1,874,304,039,270 one trillion, eight hundred seventy-four billion, three hundred four million, thirty-nine thousand, two hundred seventy

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**eight hundred twenty-nine thousand,**

Read this number 4,829,905 four million, eight hundred twenty-nine thousand, nine hundred five

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**Remember that each period has three place values within the period**

Tens Trillion Hundreds Ones Tens Billion Hundreds Ones Tens Million Hundreds Ones Tens Thousand Hundreds Ones Tens Ones Hundreds Ones 684,367,671,690,492

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**What place value is the 8 in this number?**

4,829,905 Place- Hundred thousands Value- 8 hundred thousand or 800,000

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**What place value is the 2 in this number?**

4,829,105 Place -Ten thousands Value- 20 thousand or 20,000

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**What place value is the 4 in this number?**

4,829,105 Place- Millions Value- 4 Million or 4,000,000

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**What place value is the 5 in this number?**

654,829,103 Place- Ten millions Value- 50 million or 50,000,000

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**What is this number in standard form?**

Ninety thousand, four hundred eight 90,408

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**What is this number in standard form?**

Seven million, twenty-two thousand, two hundred 7,022,200

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**What is this number in expanded form?**

7,021,500 7,000, , ,

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**A decimal is a part of a whole.**

What is a decimal? A decimal is a part of a whole.

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Think about money. One dollar, 4 dimes, and 3 pennies is written in decimal form. $1.43 WHOLE PART

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**It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar.**

$0.10 = one dime It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar. $0.01 = one penny

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**Money in Numbers $ Dollar Sign Dollar Bill $1.00 Quarter $0.25 Dime**

$0.10 Nickle $0.05 Penny $0.01

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**Money is one way we use decimals every day, but decimals are used for more than just money.**

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**Decimals can also be shown on the place value chart.**

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**Everything to the right of the decimal point is PART of a whole.**

Everything to the left of the decimal point is a WHOLE number.

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**This shows 14 (fourteen) spiders.**

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**This shows 115 (one hundred fifteen) candy-corns.**

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one hundred thirty -four and seven ten-thousandths 1 3 4

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**Decimals show parts of wholes in divisions of ten.**

tenths one whole

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**hundredths thousandths**

Decimals can show parts of wholes in divisions of hundreds or thousands.

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tenths one hundredths thousandths

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**Now practice writing and saying some decimals.**

What portion of the square is green? What portion of the square is yellow?

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**4 (or four tenths) of the square is green**

0.4 (or four tenths) of the square is green (six tenths) of the square is yellow. 0.4 0.6

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