# Multiplication of Integers

In multiplication of integers, we use the following rules:

Rule 1

The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.

Thus, to find the product of a positive and a negative integer, we find the product of their absolute values and assign minus sign to the product.

For example:

(i) 7 × (-6) = - (7 × 6) = -42

(ii) (-9) × 5 = - (9 × 5) = -45

(iii) 3 × (-9) = - (3 × 9) = -27

(iv) (-4) × 5 = - (4 × 5) = -20

Rule 2

The product of two integers with like signs is equal to the product of their absolute values.

(i) The product of two positive integers is positive.

In this, we take the product of the numerical values of the multiplier and multiplicand.

For example; (+ 7) × (+ 3) = + 21

(ii) The product of two negative integers is positive.

In this, we take the product of the numerical values of multiples and multiplicands and assign (+) sign to the product obtained.

For example: (- 7) × (- 3) = + 21

Thus to find the product of two integers, either both are positive or negative, we find the product of their absolute values.

For example:

(i) 7 × 11 = 77

(ii) (-9) × (-12) = 9 × 12 = 108

(iii) 5 × 12 = 60

(iv) (-9) × (-13) = 9 × 13 = 117

In this order the rules are used in multiplication of integers.

Numbers - Integers

Integers

Multiplication of Integers

Properties of Multiplication of Integers

Examples on Multiplication of Integers

Division of Integers

Absolute Value of an Integer

Comparison of Integers

Properties of Division of Integers

Examples on Division of Integers

Fundamental Operation

Examples on Fundamental Operations

Uses of Brackets

Removal of Brackets

Examples on Simplification

Numbers - Worksheets

Worksheet on Multiplication of Integers

Worksheet on Division of Integers

Worksheet on Fundamental Operation

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

Mar 02, 24 05:31 PM

The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerato…

2. ### Subtraction of Fractions having the Same Denominator | Like Fractions

Mar 02, 24 04:36 PM

To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numera…

3. ### Addition of Like Fractions | Examples | Worksheet | Answer | Fractions

Mar 02, 24 03:32 PM

To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…

4. ### Comparison of Unlike Fractions | Compare Unlike Fractions | Examples

Mar 01, 24 01:42 PM

In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. To compare two fractions with different numerators and different denominators, we multiply by a nu…