Question

Select the equation in which you use the inverse property of multiplication to find the solution.

Answer 1

Given:

Equations using properties.

To find:

The equation which use the inverse property of multiplication.

Solution:

Inverse property of multiplication:

The product of any number and its reciprocal is always 1.

Let us select the option which uses inverse property of multiplication.

Option A: $\left(\frac{3}{4} \cdot \frac{4}{3}\right)+7=8$

Inverse of $\frac{3}{4}$ is $\frac{4}{3}$. Their product is 1.

$\frac{3}{4} \cdot \frac{4}{3}=1$

This equation uses the inverse property of multiplication.

Option B: $\left(-\frac{7}{8}+\frac{7}{8}\right)+4=4$

Inverse of $\frac{-7}{8}$ is $\frac{8}{-7}$

So, it is not true equation.

Option C: $(-5 \cdot 0)-9=-9$

Inverse of $-5$ is $-\frac{1}{5}$.

So, it is not true equation.

Option D: $\left[7 \cdot\left(\frac{5}{7}-\frac{4}{7}\right)\right]+8=9$

Here also inverse property is not used.

So, it is not true equation.

Hence the equation use the inverse property of multiplication is

$\left(\frac{3}{4} \cdot \frac{4}{3}\right)+7=8$.