#### Read Properties of Multiplication worksheets 1 and 2 text version

`Properties of Multiplication Worksheet 1 Commutative, associative, and distributive propertiesProperties of MultiplicationWorksheet 1The 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 )www.tlsbooks.com3004Properties of Multiplication Worksheet 2 Commutative, associative, and distributive propertiesProperties of MultiplicationWorksheet 2commutative 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 18www.tlsbooks.com3004Properties of Multiplication Worksheets 1 and 2 Answer KeysProperties of Multiplication Worksheet 1Properties of Multiplication Worksheet 2www.tlsbooks.com3004`

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##### Properties of Multiplication worksheets 1 and 2

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