Question

pick the answer that is an example of the inverse property of multiplication 5 - 5 = 0 5 · 1 = 5 5 · 0 = 5 5 · 1/5 = 1

Explanation:

Step1: Recall inverse - property of multiplication

The inverse - property of multiplication states that for any non - zero number \(a\), \(a\times\frac{1}{a}=1\), where \(\frac{1}{a}\) is the multiplicative inverse of \(a\).

Step2: Analyze each option

• Option \(5 - 5=0\) is an example of the inverse property of addition.
• Option \(5\times1 = 5\) is an example of the identity property of multiplication.
• Option \(5\times0 = 5\) is incorrect as \(5\times0=0\) by the zero - property of multiplication.
• Option \(5\times\frac{1}{5}=1\) follows the form \(a\times\frac{1}{a}=1\) with \(a = 5\), which is the inverse property of multiplication.

Answer:

\(5\times\frac{1}{5}=1\)