﻿ Definition and examples multiplicative property | define multiplicative property - algebra - Free Math Dictionary Online

# Multiplicative Property

## Definition of Multiplicative Property

Multiplicative Property of Equality: The two sides of an equation remain equal if they are multiplied by the same number. That is: for any real numbers a, b, and c, if a = b, then ac = bc.

Multiplicative property of Inequality: The two sides of an inequality remain equal if they are multiplied by the same number.
That is, for any real numbers a, b, and c, if a > b then ac > bc and if a < b="" then="" ac=""><>

Multiplicative property of Negative One: The product of - 1 and any number results in the opposite of that number.
That is, for any real number a, a × - 1 = - a.
Multiplicative Property of Zero: The product of 0 and any number results in 0.That is, for any real number a, a × 0 = 0.

### Examples of Multiplicative Property

• Multiplicative Property of Equality: x = 4 ⇒ 3x = 12
• Multiplicative Property of Inequality: y < 5="" →="" 2y="">< 10="">
• Multiplicative Property of Negative One: 3 × - 1 = - 3
• Multiplicative Property of Zero: 8 × 0 = 0

### Solved Example on Multiplicative Property

#### Ques: Which one of these number sentences illustrates multiplicative property of zero?

##### Choices:
A. 11 × 7 = 7 × 11
B. 18 × 0 = 0
C. 57 + 41.9 = 41.9 + 57
D. 64 + 0 = 64