Read Properties of Multiplication worksheets 1 and 2 text version

Properties of Multiplication Worksheet 1 Commutative, associative, and distributive properties

Properties of Multiplication

Worksheet 1

The commutative property of multiplication is the rule which states that the order in which the numbers of an expression are combined does not affect the outcome. Example: 3 x 5 = 5 x 3 The associative property of multiplication is the rule which states that the grouping of numbers in an expression does not affect the outcome. Example: ( 3 x 5 ) x 7 = 3 x ( 5 x 7 ) The distributive property of multiplication is the rule which states that numbers can be broken into smaller numbers for calculating. Example: 14 x 5 = ( 10 x 5 ) + ( 4 x 5 ) Which equation shows the commutative property of multiplication? 1. ( 12 x 4 ) x 3 = 12 x ( 4 x 3 ) 12 x 7 = 7 x 12 12 x 7 = 84 12 x 7= ( 10 x 7 ) + ( 2 x 7 ) 2. 15 x 2 = 2 x 15 15 x 2 = 30 15 x 2 = ( 10 x 2 ) + ( 5 x 2 ) (5x3)x2=5x(3x2)

Which equation shows the associative property of multiplication? 3. 18 x 5 = 90 18 x 5 = ( 10 x 5 ) + ( 8 x 5 ) (9x2)x5=9x(2x5) 18 x 5 = 5 x 18 4. 72 = 12 x 6 (3x4)x6=3x(4x6) 12 x 6 = 6 x 12 12 x 6 = ( 10 x 6 ) + ( 2 x 6 )

Which equation shows the distributive property of multiplication? 5. 22 x 4 = 4 x 22 22 x 4 = 88 22 x 4 = ( 20 x 4 ) + ( 2 x 4 ) ( 11 x 2 ) x 4 = 11 x ( 2 x 4 ) 6. (7x5)x5=7x(5x5) 35 x 5 = 5 x 35 35 x 5 = 175 35 x 5 = ( 30 x 5 ) + ( 5 x 5 )

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Properties of Multiplication Worksheet 2 Commutative, associative, and distributive properties

Properties of Multiplication

Worksheet 2

commutative property of multiplication : 3 x 5 = 5 x 3 associative property of multiplication: ( 3 x 5 ) x 7 = 3 x ( 5 x 7 ) distributive property of multiplication: 14 x 5 = ( 10 x 5 ) + ( 4 x 5 )

Which equation shows the commutative property of multiplication? 1. (8x2)x9=8x(2x9) 16 x 9 = 9 x 16 16 x 9 = 144 16 x 9= ( 10 x 9 ) + ( 6 x 9 ) 2. 26 x 2 = 2 x 26 26 x 2 = 52 26 x 2 = ( 20 x 2 ) + ( 6 x 2 ) ( 13 x 2 ) x 2 = 13 x ( 2 x 2 )

Which equation shows the associative property of multiplication? 3. 34 x 9 = 306 34 x 9 = ( 30 x 9 ) + ( 4 x 9 ) ( 17 x 2 ) x 9 = 17 x ( 2 x 9 ) 34 x 9 = 9 x 34 4. 150 = 25 x 6 (5x5)x6=5x(5x6) 25 x 6 = 6 x 25 25 x 6 = ( 20 x 6 ) + ( 5 x 6 )

Which equation shows the distributive property of multiplication? 5. 32 x 7 = 7 x 32 32 x 7 = 224 32 x 7 = ( 30 x 7 ) + ( 2 x 7 ) (8x4)x7=8x(4x7) 7. 75 = 15 x 5 (3x5)x5=3x(5x5) 15 x 5 = 5 x 15 15 x 5 = ( 10 x 5 ) + ( 5 x 5 ) 8. 6. ( 12 x 2 ) x 4 = 12 x ( 2 x 4 ) 24 x 4 = 4 x 24 24 x 4 = 96 24 x 4 = ( 20 x 4 ) + ( 4 x 4 ) 18 x 9 = 162 18 x 9 = ( 10 x 9 ) + ( 8 x 9 ) (3x6)x9=3x(6x9) 18 x 9 = 9 x 18

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Properties of Multiplication Worksheets 1 and 2 Answer Keys

Properties of Multiplication Worksheet 1

Properties of Multiplication Worksheet 2

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Properties of Multiplication worksheets 1 and 2

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