Consider the given statement:
[tex]2(\frac{-3}{9}) = (\frac{-3}{9})2[/tex]
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 [tex]a+(b+c) = (a+b)+c[/tex]. 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 [tex]a \times b = b \times a[/tex].
In the given statement,[tex]2(\frac{-3}{9}) = (\frac{-3}{9})2[/tex]
This statement holds commutative property of multiplication as whether 2 is multiplied to [tex]\frac{-3}{9}[/tex] or [tex]\frac{-3}{9}[/tex] 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 '[tex]\frac{1}{a}[/tex]' if [tex]a \times \frac{1}{a}=1[/tex]. 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 [tex]a+b = b+a[/tex]. This property is not used in the given statement.
Answer:
Therefore, Commutative Property of Multiplication,
Step-by-step explanation:
Given : [tex]2(\frac{-3}{9}) = (\frac{-3}{9}) 2[/tex].
To find : which property is illustrated by the following statement.
Solution : We have given
[tex]2(\frac{-3}{9}) = (\frac{-3}{9}) 2[/tex].
Commutative property : Commutative property states that order does not matter. Multiplication are commutative.
Example : A×B = B×A.
3×4 = 4×3 = 12.
Then [tex]2(\frac{-3}{9}) = (\frac{-3}{9}) 2[/tex] is illustrated by the Commutative Property of Multiplication,
Therefore, Commutative Property of Multiplication,
