Question

4. Which property is illustrated by the statement? 8(-5/6)=(-5/6)8

A) associative property of addition
B) inverse property of multiplication
C) commutative property of addition
D) commutative property of multiplication

5. Which property illustrates by the statement? 3.2+4=4+3.2

A) associative property of addition
B) commutative property of multiplication
C) inverse property of multiplication
D) commutative property of addition

Answer 1

4. is B
and 5. is also B

Answer 2

1) Commutative property for multiplication

2) Commutative property for addition

Explanation:

We are given the following information in the question:

We have to identify the properties for addition and multiplication.

Associative Property:

The associative property states that we can add or multiply regardless of how the numbers are grouped. By grouped we mean how we use parenthesis.

`a+(b+c) = (a+b)+c`

`a* (b* c) = (a* b)* c`

Commutative Property:

Commutative property of addition and multiplication states that changing the order of the operands does not change the result.

`a + b = b +a`

`a* b = b* a`

1)
`8* \displaystyle(-5)/(6) = \displaystyle(-5)/(6)* 8`

`a* b = b* a`

This is commutative property for multiplication

2)
`(3* 2) + 4 = 4 + (3* 2)`

`a + b = b +a`

This is commutative property of addition.