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