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