Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression (3⋅2)⋅5+7
7+3⋅(2⋅5)
=> The commutative property of addition means that the order of things added does not affect the answer. Therefore, a + b = b + a. So, we reverse the order of the two terms in this question.
=> The associative property of multiplication is that we can group numbers being multiplied in any way but the answer shall be the same. So, a.(b.c) = (a.b).c
So, we replace (3.2).5 with 3.(2.5)
Thus, the answer is 7 + 3.(2.5)
To rewrite the expression using the commutative property of addition and the associative property of multiplication, we can first use the associative property of multiplication to group the numbers as follows:
((3⋅2)⋅5) + 7
Next, we can use the commutative property of addition to rearrange the terms within the parentheses:
((2⋅3)⋅5) + 7
Finally, we can evaluate the innermost parentheses using the associative property of multiplication:
(6⋅5) + 7
Now, we can simplify the expression further:
30 + 7
And the final answer is:
37