Multiplicative Property of Equality With Whole Numbers

In an equation, the multiplicative property of equality states that if we multiply or divide both sides of an equation by the same number, the equality of both the sides is maintained.

This property holds true for whole numbers as well.

For example: Solve for x, 4x = 32

In the equation 4x = 32, we solve for x as follows.

Using multiplicative property of equality, we divide both sides of the equation by 4 to isolate the variable x.

4x ÷ 4 = 32 ÷ 4

So, x = 8

Solve the following equation using multiplicative property of equality, 4x = 28

Solution

Step 1:

Given equation 4x = 28

Using multiplicative property of equality, multiply both sides by $\frac{1}{4}$ to isolate the variable x.

Step 2:

4x × $\frac{1}{4}$ = 28 × $\frac{1}{4}$ = 7

So, x = 7

Solve the following equation using multiplicative property of equality, $\frac{y}{6}$ = 3

Solution

Step 1:

Given equation $\frac{y}{6}$ = 3

Using multiplicative property of equality, multiply both sides by 6 to isolate the variable y.

Step 2:

$\frac{y}{6}$ × 6 = 3 × 6 = 18

So, y = 18