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Explain the addition and subtraction of integers with examples.
Addition of integers:
The addition of integers means there are three possibilities. They are :
- The addition between two positive numbers,
The addition of two positive integers always gives a positive integer
For example, $2+3=5$.
- The addition between two negative numbers and
The addition of two negative integers always give a negative integer
For example, $-2+(-3)=-(2+3)=-5$.
- The addition between a positive number and a negative number.
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest
For example, $-10+8=-(10-8)=-2$.
Subtraction of Integers:
Transform the subtraction of integers problem into the addition of integers problem.
- First, keep the first number.
- Second, change the operation from subtraction to addition.
- Third, get the opposite sign of the second number.
- Finally, proceed with the regular addition of integers.
For example,
$9-(-7)=9+(+7)=9+7=16$.
Updated on: 10-Oct-2022
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