Addition of Integers
Addition of Integers
Addition of integers:
Example: Add - 9005, 360
Solution: - 9005 + 360 = - 8645
If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.
Here the answer will be negative as 9005 is greater than 360 and sign of 9005 is negative.
We now study the properties satisfied by addition:
Example: 2 + 3 = 5, whjere 2, 3 and 5 are integers.
Example: (-3) + (-2) = (-5). where -2, - 3 and - 5 are integers.
Example: Verify the commutative property of addition for +16, -2
RHS = +16 + (-2) = +16 - 2 = +14 and LHS = -2 + 16 = +14
Hence Verified
Example: Verify the commutative property of addition for +10, +7 and - 5.
RHS = (a + b) + c = (+10 + 7) -5 = (+17) - 5 = +17 - 5 = +12
LHS = a + (b + c) = +10 + (+7 - 5) = +10 + (+2) = +10 + 2 = +12
Hence Verified
Example: Verify +9 for additive identity
LHS = a + 0 = +9 + 0 = +9 and RHS = 0 + a = 0 + (+9) = 0 + 9 = +9
Hence Verified
Find the sum using the properties of addition: ( - 40) + 100 + ( - 55) | |||
| Right Option : A | |||
| View Explanation | |||
When one is added to any integer, we get _________________ | |||
| Right Option : C | |||
| View Explanation | |||
Add +3 and +5 | |||
| Right Option : A | |||
| View Explanation | |||
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