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Understanding Place Value and Multiplication

Learn how to multiply numbers by 10, 100, and 1000, and understand how the decimal point shifts. Practice with examples and grasp the concept easily.

nissim-hewitt
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Understanding Place Value and Multiplication

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  1. Place Value and Multiplication

  2. Place Value & X by 10 3 2 0 7 8, 9 5 0

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

  4. Place Value & X by 10 8 . 2 1 0 . 3

  5. 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

  6. 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 = 0.0086 x 10 = 0.086

  7. Place Value & X by 100 3, 2 0 0 7 8 9, 5 0 0

  8. Place Value & X by 100 3 4 5, 6 0 0 9 0 1, 2 3 4, 5 0 0

  9. 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 4 6 . 5 9 . 3 2 2 8 8 0

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

  11. 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 . 4 6 5 9 . 3 2 3 2 3 2 5 3 0 5 5

  12. Multiply by 1000 = 6,000 • 6 x 1000 • 12 x 1000 • 25 x 1000 • 64 x 1000 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

  13. 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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