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**Place Value and Multiplication**

millions thousands 100 10 1 Before the decimal point . After the decimal point 1000 100 10 1 1/10 1/100 1/1000 1/10000

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**Place Value & X by 10 3 2 0 7 8, 9 5 0 millions thousands 100 10 1 3 2**

7, 8 9 5 7 8,

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**Place Value & X by 10 2 3 4, 5 6 0 8 9 0, 1 2 3, 4 5 0 millions**

thousands 100 10 1 2 3, 4 5 6 8 9, 2, 3 , , ,

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**After the decimal point**

Place Value & X by 10 thousands After the decimal point 100 10 1 . 1/10 1/100 8 2 3 8 . 2

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**When you multiply by ten**

The answer gets bigger The decimal point moves to the right one place or the numbers move one place to the left 4 6 . 5 . 9 2 3 .

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Multiply by 10 - The answer gets bigger 3.52 x 10 = 35.2 4.209 x 10 = 42.09 0.6 0.06 x 10 = x 10 = 0.086

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**Place Value & X by 100 3, 2 0 0 7 8 9, 5 0 0 millions thousands 100 10**

7, 8 9 5 3, ,

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**Place Value & X by 100 3 4 5, 6 0 0 9 0 1, 2 3 4, 5 0 0 millions**

thousands 100 10 1 3, 4 5 6 9, 2, 3 , , ,

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**When you multiply by a hundred**

The answer gets bigger The decimal point moves to the right two places or the numbers move two places to the left 2 . 8 4 6 . 5 9 . 3 2 2 8 8

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Multiply by 100 6 x 100 12 x 100 25 x 100 64 x 100 = 600 13.5 x 100 = 1350 = 1200 4.23 x 100 = 423 = 2500 0.16 x 100 = 16 = 6400 0.063 x 100 = 6.3

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**When you multiply by a thousand**

The answer gets bigger The decimal point moves to the right three places or the numbers move three places to the left 2 . 3 5 . 4 6 5 9 . 3 2 3 2 5 2 3 3 5 5

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Multiply by 1000 6 x 1000 12 x 1000 25 x 1000 64 x 1000 = 6,000 13.5 x 1000 = 13,500 = 12,000 4.23 x 1000 = 4,230 = 25,000 0.16 x 1000 = 160 = 64,000 0.063 x 1000 = 63

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**When multiplying by 10,100,1000- I know that the number gets bigger**

The place value of each digit is changing or the decimal point is moving 101 =10 102 =10 x 10 =100 103 =10 x 10 x 10 =1000 104 = 10 x 10 x 10 x 10=10000 Can I do this multiply by just looking at it?

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