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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

2 Answers

4 votes

Answer:

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,

User Dhruw Lalan
by
7.8k points
4 votes

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.

User Kurikintoki
by
8.4k points
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