Multiplication properties

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associative property of multiplication

changing the grouping of the factors does not change the product. EX: (1x4)x2=1x(4x2)

commutative property of multiplication

changing the order of the factors does not change the product. EX: 6x3=18 3x6=18

distributive property of multiplication

multiplying a number by a sum is the same as multiplying the number by each addend of the sum and then adding the products. EX: 5x(2+1)=(5x2)+(5x1)

identity property of multiplication

the product of any factor times one is that number. EX: 1x2=2 600,000x1=600,000

zero property of multiplication

the product of any factor times zero is zero. EX: 0x6=0 0x500=0 3,000x0=0


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