- Writing and Solving One-Step Equations
- Home
- Solving a One-Step Linear Equation Problem Type 1
- Solving a One-Step Linear Equation Problem Type 2
- Additive Property of Equality With Whole Numbers
- Solving an Equation With Multiplication or Division
- Multiplicative Property of Equality With Whole Numbers
- Translating a Sentence Into a One-Step Equation

# Multiplicative Property of Equality With Whole Numbers

### Multiplicative property of equality

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

**Solution**

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