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

Answer:

Therefore, Commutative Property of Multiplication,

Step-by-step explanation:

Given : $2(\frac{-3}{9}) = (\frac{-3}{9}) 2$.

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

Solution : We have given

$2(\frac{-3}{9}) = (\frac{-3}{9}) 2$.

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

Example : A×B = B×A.

3×4 = 4×3 = 12.

Then  $2(\frac{-3}{9}) = (\frac{-3}{9}) 2$ is illustrated by the Commutative Property of Multiplication,

Therefore, Commutative Property of Multiplication,

Answer 2

Consider the given statement:

$2(\frac{-3}{9}) = (\frac{-3}{9})2$

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 $a \times b = b \times a$.

In the given statement,$2(\frac{-3}{9}) = (\frac{-3}{9})2$

This statement holds commutative property of multiplication as whether 2 is multiplied to $\frac{-3}{9}$ or $\frac{-3}{9}$ 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 '$\frac{1}{a}$' if $a \times \frac{1}{a}=1$. 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.