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

**Properties of Multiplication of Integers**

**Examples on Multiplication of Integers**

**Properties of Division of Integers**

**Examples on Division of Integers**

**Examples on Fundamental Operations**

● Numbers - Worksheets

**Worksheet on Multiplication of Integers**

**Worksheet on Division of Integers**

**Worksheet on Fundamental Operation**

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