Identify the property illustrated by the statement. Assume all variables represent real numbers.
-$$\frac { 1 } { ( a + 2 ) } \cdot ( a + 2 ) = 1 , \text { if } a + 2 \neq 0$$
A) Distributive
B) Identity
C) Inverse
D) Closure

Question

Quizplus · Accepted Answer

The statement illustrates the inverse property of multiplication, which states that any number multiplied by its reciprocal equals 1, provided the number is not zero. Here, $\frac{1}{(a+2)}$ is the reciprocal of $(a+2)$.

Identify the Property Illustrated by the Statement 1(a+2)⋅(a+2)=1, if a+2≠0\frac { 1 } { ( a + 2 ) } \cdot ( a + 2 ) = 1 , \text { if } a + 2 \neq 0(a+2)1​⋅(a+2)=1, if a+2=0

Identify the Property Illustrated by the Statement $\frac { 1 } { ( a + 2 ) } \cdot ( a + 2 ) = 1 , \text { if } a + 2 \neq 0$