## INTEGER ADDITION AND SUBTRACTION RULES

In this web page,"Integer addition and subtraction rules" ,we are going to see how to simplify two numbers with different signs.

## Integer addition and subtraction rules

 Sign of first and second number What we have to do + + Add both numbers and put "greater number" sign for the answer. + -(or) - + Subtract small number from greater number and put "greater number" sign for the answer.

The above rule is applicable for simplifying any two or more integers,fractions and decimals.

## Easy way of understanding this concept:

By the following flow chart method, we can easily understand how to simplify two with different sign.

Note: Always we have to put big number symbol for answer.

## Common sense explanation for rules of adding positive and negative numbers:

We are doing two different business,in that + represents profit and - represent loss

 + + We get profit from two different business.To find total profit we have to add. - - We get loss from two different business.To find total loss we have to add. + - We get profit from one business and loss from other business.To find how much we lost we have to subtract. - + We get loss from one business and profit from other business.To find how much we lost we have to subtract.

## Integer addition and subtraction rules - Examples

Example 1 :

Find the sum of -12 + 7

Solution :

Since the sign of both numbers are different, we have to subtract the smaller number from larger number and put the greater number sign.

-12 + 7  =  -5

Hence the answer will have negative sign.

Example 2 :

Find the sum of -10 - 7

Solution :

Since both numbers are having same signs, we have to add and put greater number sign.

-10 - 7 = -17

Hence the answer will have negative sign.

Example 3 :

Find the sum of -6 + 12

Solution :

Since the sign of both numbers are different, we have to subtract the smaller number from larger number and put the greater number sign.

-6 + 12 = 6

Hence the answer will have positive sign.

Example 4 :

Find the sum of -30 + 10

Solution :

Since the sign of both numbers are different, we have to subtract the smaller number from larger number and put the greater number sign.

-30 + 10 = -20

Hence the answer will have negative sign.

Example 5 :

Find the sum of 3 + 4

Solution :

Since both numbers are having same signs, we have to add and put greater number sign.

3 + 4 = 7

Hence the answer will have positive sign.

Example 6 :

Find the difference of -2 - (-2)

Solution :

=   -2 - (-2)

=  -2 + 2

=  0

Example 7 :

Find the difference of -8 - (-6)

Solution :

=   -8 - (-6)

=  -8 + 6

Now these two numbers are having different signs, so we have to subtract from smaller number from greater number and put greater number sign.

=  -2

Hence the answer will have negative sign.

Example 8 :

Find the difference of 8 - (-5)

Solution :

=   8 - (-5)

=  8 + 5

Now these two numbers are having same signs, so we have to add 8 and 5 and put greater number sign.

=  13

Hence the answer will have positive sign.

Example 9 :

Find the difference of 10 - (-16)

Solution :

=   10 - (-16)

=  10 + 16

Now these two numbers are having same signs, so we have to add 10 and 16 and put greater number sign.

=  26

Hence the answer will have positive sign.

Example 10 :

Find the difference of -38 - (-30)

Solution :

=   -38 - (-30)

=  -38 + 30

Now these two numbers are having different signs, so we have to subtract from smaller number from greater number and put greater number sign.

=  -8

Hence the answer will have negative sign.

After having gone through the stuff given above, we hope that the students would have understood "Integer addition and subtraction rules".

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