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Addition of Integers on Number line

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notes

Addition of integers on a number line:

i) Let us add 3 and 5 on the number line.

On the number line, we first move 3 steps to the right from 0 reaching 3, then we move 5 steps to the right of 3 and reach 8. Thus, we get 3 + 5 = 8.

Remember:

  • On a number line when we add a positive integer, we move to the right.

  • When two positive integers are added we get a positive integer.

ii) Let us add – 3 and – 5 on the number line.

On the number line, we first move 3 steps to the left of 0 reaching – 3, then we move 5 steps to the left of – 3 and reach – 8. Thus, (– 3) + (– 5) = – 8.

  • On a number line when we add a negative integer, we move to the left.

  • When two negative integers are added we get a negative integer.

iii) Find the sum of (+ 5) and (– 3) on the number line.

First, we move to the right of 0 by 5 steps reaching 5. Then we move3 steps to the left of 5 reaching 2. Thus, (+ 5) + (– 3) = 2.

  • When one positive and one negative integer are added, we take their difference and place the sign of the bigger integer. The bigger integer is decided by ignoring the signs of both the integers.

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