SOLUTION: What properties of real numbers are used in each step following simplification? .25(3 x 4)=.25(4 x 3) =(.25 x 4) x 3 = 1 x 3 = 3

Question 346219: What properties of real numbers are used in each step following simplification?
.25(3 x 4)=.25(4 x 3)
=(.25 x 4) x 3
= 1 x 3
= 3
Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!
.25(3 x 4)=.25(4 x 3)
Here the order of the 3 and the 4 was changed. This is the Commutative Property of Multiplication.
=(.25 x 4) x 3
Here the grouping changed. This is the Associative Property of Multiplication.
= 1 x 3
Since .25 = 1/4 and since 1/4 and 4 are reciprocals their product is a 1. This is the Inverse Property of Multiplication.
= 3
Here we used the way multiplying by 1 works. Times 1 results in whatever the other number is. This is the Identity Property of Multiplication.
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