Addition of Integers on a Number Line
After learning representation of integers on a number line now we will learn addition of integers on a number line. For the purpose of learning addition of integers on a number line we have to keep certain points things in mind.
- We know that positive numbers are on the right side of zero. Hence while adding positive numbers we will move to the right side of number line.
- We know that negative numbers are on the left side of zero. Hence while adding negative numbers we will move to the left side of number line.
Now we need to follow certain steps for adding integers on number line.
- First we have to draw a number line
- Then mark the integers on the number line
- Then mark the first number of the addend on the number line
- Then mark the second number of the addend on the number line
Now if the second addend is positive we will move to the right side of the number line
If the second addend is negative then we will move to the left side of the number line
Here are few examples to show to addition of integers on a number line.
1. Add 3
and 2 on a number line.
Solution:
The first number is 3 (positive) so we moved 3 steps to the right of zero to reach 3 and then the second number is also positive so we moved two more steps to the right again to reach 5.
Therefore, 3 + 2 = 5
2. Add (-2 ) + (-2 ) on a number line.
Solution:
The first number is negative that is -2 so we mover 2 steps to the left side of zero to reach -2. Then the second number is also negative that is -2 so we will again move two steps to the left of zero to reach at -4.
Therefore, (-2 ) + (-2 ) = - 4
3. Add 4 + (-2 ) on a number line.
Solution:
Here the first number is positive 4 hence we will move 4 steps to the right side of zero to reach + 4. The second number is negative – 2 so we will move to the left to reach 2.
Therefore, 4 + (-2) = 2
4. Add (- 4) + 3 on a number line.
Solution:
Here the first number is -4 so we have to move 4 places to the left side of zero to reach – 4. The second number is + 3 so we have to move three steps to the right -4 to reach -1.
Therefore, (- 4) + 3 = -1
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