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Mastering Decimal Multiplication and Properties of Multiplication

Dive into the essential concepts of multiplying decimals and understanding the properties of multiplication. This guide covers step-by-step instructions on how to multiply decimals as if they were whole numbers, count decimal places, and provide the correct product. It also explores crucial multiplication properties like the Identity Property, Zero Property, Commutative Property, and Associative Property. Practice exercises are included to solidify your understanding. Unlock the mysteries of multiplication and improve your math skills today!

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Mastering Decimal Multiplication and Properties of Multiplication

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  1. Multiplying Decimals &Properties of Multiplication Christine Berg Edited By V T Hamilton

  2. Step 1: Multiply as if the factors were whole numbers

  3. Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..

  4. Step 2: Count the total decimals places in the factors

  5. Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..

  6. Step 3: Give the product the total decimal places of the factors

  7. Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 .2 5

  8. Try These: 1. 4.8 2. 3.55 x 0.5 x .05

  9. Answers: 1. 4.8 2. 3.55 x 0.5 x .05 = 2.40 = 0.1775

  10. Properties of Multiplication

  11. Identity Property The product of 1 and a number (a) is the number (a) 1(a) = a

  12. Examples 1 (b) = b 1 x 42 = 42

  13. Zero Property The product of 0 and a number (a) is 0 0 (a) = 0

  14. Examples 0 (b) = 0 0 x 67 = 0

  15. Commutative Property Changing the order of the factors does not change the answer

  16. Examples a ( b ) = b ( a ) 5 x 2 = 2 x 5

  17. Associative Property Changing the grouping of factors does not change the answer

  18. Examples ( ab ) c = a ( bc ) ( 3 x 2 ) x 4 = 3 x ( 2 x 4 )

  19. Try These: Identify the property ( x y ) z = x ( yz ) 0 x 4 = 0

  20. Answers: ( x y ) z = x ( yz ) Associative Property of x 0 x 4 = 0 Zero Property

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