There are 2 conditions to remember when adding integers:
1. When adding integers having the same sign, add the numbers and then copy the sign.
–14 and –17 are both negative integers.
14 + 17 = 31
Copy the negative sign.
The sum is –31.
23 and 19 are both positive integers.
23 + 19 = 42
The sum is 42.
2. When adding two integers having different signs, subtract the numbers and copy the sign of the integer with the larger number.
4 is a positive integer and –7 is a negative integer.
Since both integers have different signs, subtract the numbers: 7 – 4 = 3
Since 7 is greater than 4, copy the sign of the integer with 7.
The sum is –3.
Additive inverse of a number is the number that when added to that number will yield zero. It can also be defined as the opposite of a number.
Think about a number that when added to 4 will give us 0.
That number is the negative of 4.
4 + (-4) = 0
So, the additive inverse of 4 is - 4.
First we write the additive inverse of 77, which is -77.
Then we think about the number that when added to -77 will yield 55.
Mathematically,
-77 + ? = 55
- 77 + 22 = 55
First we add the integers without the minus sign.
80 + 40 = 120
Now, we put the minus sign.
So, (-80)- 40 = - 120
(-200) - (-572)
= - 200 + 572
When we subtract the integers, we get 372.
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