Respuesta :
The commutative property of addition tells that there is no effect of orders of addends on the result. The associative property of multiplication tells that there can be any grouping of factors, without changing the result.
The expression which uses the commutative property of addition and the associative property of multiplication to rewrite the given expression is:
(3*3)*8 + 5
What is commutative property of addition?
The order in which addends(quantities that are added) are written doesn't matter and the result will be same.
[tex]a + b = b + a[/tex]
What is associative property of multiplication?
The associative property of multiplication tells that there can be any grouping of factors(any association), without changing the result.
[tex]a\times (b \times c ) = (a \times b) \times c[/tex]
For given expression 5 + 3*(3*8), using the commutative property of addition, we have:
[tex]5 + 3 \times (3 \times 8) = 3 \times (3 \times 8) + 5[/tex]
For the resultant expression [tex]3 \times (3 \times 8) + 5[/tex], using the associative property of multiplication:
[tex]3 \times (3 \times 8) + 5 = (3 \times 3) \times 8 + 5[/tex]
Thus, the expression which uses the commutative property of addition and the associative property of multiplication to rewrite the given expression is:
(3*3)*8 + 5
Learn more about properties of multiplication here:
https://brainly.com/question/1680548
