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

Answer:

1) Commutative property for multiplication

2) Commutative property for addition

Step-by-step 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.

$a+(b+c) = (a+b)+c$

$a\times (b\times c) = (a\times b)\times c$

Commutative Property:

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

$a + b = b +a$

$a\times b = b\times a$

1) $8\times \displaystyle\frac{-5}{6} = \displaystyle\frac{-5}{6}\times 8$

$a\times b = b\times a$

This is commutative property for multiplication

2) $(3\times 2) + 4 = 4 + (3\times 2)$

$a + b = b +a$

This is commutative property of addition.