**Multiplication of Integers Rules:-**

**Rule 1 – **In order to find the product of two integers with same signs, we simply multiply the integers regardless of their signs and give a ( + ) positive sign to the product.

**Rule 2 – **In order to find the product of two integers with different signs, we simply multiply the integers regardless of their signs and give a ( – ) negative sign to the product.

## Multiplication of Integers Examples

**Example 1**

Multiply ( 10 ) by ( 7 ).

**Explanation**

In order to multiply two positive integers, we simply multiply the two integers, and add a positive sign to it.

Since, both 10 and 7 are positive

We simply multiply the integers:

10 x 7 = 70

and add the positive sign to the product + 70

Hence, 10 x 7 = +70 or 70

**Example 2**

Multiply ( -5 ) by ( -9 ).

**Explanation**

Multiplication of two negative integers is always a positive integer. In order to multiply two negative integers we simply multiply two numbers, and add a positive sign to it.

Since, both -5 and -9 are negative.

We simply multiply the two integers, ignoring their signs:

5 x 9 = 45

and add the positive sign to the product + 45

Hence, -5 x -9 = +45 or 45

**Example 3**

Multiply ( 4 ) by ( -7 ).

**Explanation**

Multiplication of one positive and one negative integer will always results in negative integer. In order to multiply a positive integer and a negative integer, we simply multiply the two numbers, and add a negative sign to it.

Since, 4 is positive and -7 is negative.

We simply multiply the two integers, ignoring their signs:

4 x 7 = 28

and add a negative sign to the result – 28

Hence, 4 x -7 = -28

**Example 4**

Multiply ( -7 ) by ( 8 ).

**Explanation**

Multiplication of one positive and one negative integer will always results in negative integer. In order to multiply a positive integer and a negative integer, we simply multiply the two numbers, and add a negative sign to it.

Since, -7 is negative and 8 is positive.

We simply multiply the two integers, ignoring their signs:

7 x 8 = 56

and add a negative sign to the result – 56

Hence, -7 x 8 = -56