# ADD SUBTRACT MULTIPLY AND DIVIDE INTEGERS

Add subtract multiply and divide integers :

Here we are going to see how to add, subtract, multiply and divide integers.

• Whenever we have same signs for two numbers, we have to add those numbers.
• Whenever we have different signs for two numbers, we have to subtract the smaller number from greater number.
 Sign of two integers What we have to do ? + and +- and - We need to add both numbers and the answer will have the big number sign. + and -- and + Subtract the small number from the large number and the answer will have the big number sign.

## Multiply and divide integers

 Sign of two integers What we have to do ? + and +- and - We need to multiply both numbers and the answer will have positive sign. + and -- and + The answer will have negative sign.

## Add subtract multiply and divide integers - Examples

Example 1 :

Find the sum of (-34) + 50

Solution :

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa+ 50aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa- 34aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaa16aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

Example 2 :

Find the sum of 38 + (-5)

Solution :

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa+ 38aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa05aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaa33aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

Example 3 :

Multiply : (13)(-3).

Solution :

Step 1 :

Determine the sign of the product.

13 is positive and -3 is negative. Since the numbers have opposite signs, the product will be negative.

Step 2 :

Find the absolute values of the numbers and multiply them.

|13|  =  13 and |-3|  =  3

13 x 3  =  39

Step 3 :

Assign the correct sign to the product.

13(-3)  =  -39

Hence, the product is -39.

Example 4 :

Multiply : (-5)(-8).

Solution :

Step 1 :

Determine the sign of the product.

-5 is negative and -8 is negative. Since the numbers have the same sign, the product will be positive.

Step 2 :

Find the absolute values of the numbers and multiply them.

|-5|  =  5 and |-8|  =  8

5 x 8  =  40

Step 3 :

Assign the correct sign to the product.

(-5)(-8)  =  40

Hence, the product is 40.

Example 5 :

Divide: 24 ÷ (-3)

Solution :

Step 1 :

Determine the sign of the quotient.

24 is positive and -3 is negative. Since the numbers have opposite signs, the quotient will be negative.

Step 2 :

Divide.

24 ÷ (-3)  =  -8

Example 6 :

Divide: -6 ÷ (-2)

Solution :

Step 1 :

Determine the sign of the quotient.

-6 is negative and -2 is negative. Since the numbers have the same sign, the quotient will be positive.

Step 2 :

Divide.

-6 ÷ (-2)  =  3

After having gone through the stuff given above, we hope that the students would have understood "Add subtract multiply and divide integers".

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