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((3)/(4) \cdot (4)/(3)\right)+7=8`

Inverse of
`(3)/(4)` is
`(4)/(3)`. Their product is 1.

`$(3)/(4) \cdot (4)/(3)=1`

This equation uses the inverse property of multiplication.

Option B:
`\left(-(7)/(8)+(7)/(8)\right)+4=4`

Inverse of
`(-7)/(8)` is
`(8)/(-7)`

So, it is not true equation.

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

Inverse of
`-5` is
`-(1)/(5)`.

So, it is not true equation.

Option D:
`\left[7 \cdot\left((5)/(7)-(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((3)/(4) \cdot (4)/(3)\right)+7=8`.