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