Question

rewrite the division equation using the multiplicative inverse of 5. 5m = 50 50 ÷ 5 = m 50 · \square = m (options: 1/5, -1/5)

Explanation:

Step1: Recall multiplicative inverse

The multiplicative inverse of a number \( a \) is \( \frac{1}{a} \) because \( a\times\frac{1}{a} = 1 \). For \( a = 5 \), the multiplicative inverse is \( \frac{1}{5} \).

Step2: Relate division to multiplication

We know that dividing by a number is the same as multiplying by its multiplicative inverse. So \( 50\div5 \) is equivalent to \( 50\times\frac{1}{5} \). Thus, the blank should be \( \frac{1}{5} \).

Answer:

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