Question

which property is illustrated by the following statement? 2(-3/9)=(-3/9)2^? Associative Property of Addition, Commutative Property of Multiplication, Inverse property of Multiplication, Commutative property of addition

Answer 1

Therefore, Commutative Property of Multiplication,

Explanation:

Given :
`2((-3)/(9)) = ((-3)/(9)) 2`.

To find : which property is illustrated by the following statement.

Solution : We have given

`2((-3)/(9)) = ((-3)/(9)) 2`.

Commutative property : Commutative property states that order does not matter. Multiplication are commutative.

Example : A×B = B×A.

3×4 = 4×3 = 12.

Then
`2((-3)/(9)) = ((-3)/(9)) 2` is illustrated by the Commutative Property of Multiplication,

Therefore, Commutative Property of Multiplication,

Answer 2

Consider the given statement:

`2((-3)/(9)) = ((-3)/(9))2`

We have to identify the property used in this statement.

1. Associative Property of Addition: Let a,b and c be three real numbers. This property states that
`a+(b+c) = (a+b)+c`. This property is not used in the given statement.

2. Commutative property of multiplication: Let 'a' and 'b' be two real numbers. This property states that
`a * b = b * a`.

In the given statement,
`2((-3)/(9)) = ((-3)/(9))2`

This statement holds commutative property of multiplication as whether 2 is multiplied to
`(-3)/(9)` or
`(-3)/(9)` is multiplied to 2, the result is same.

So, Commutative property of multiplication is illustrated in this statement.

3. Inverse property of multiplication: A number 'a' is said to have an inverse '
`(1)/(a)`' if
`a * (1)/(a)=1`. This property is not used in the given statement.

4. Commutative property of addition: Let 'a' and 'b' be two real numbers. This property states that
`a+b = b+a`. This property is not used in the given statement.