Class 6 Maths Whole Numbers Operation on a number line

Operation on a number line

Addition

Add 2 and 5. i.e 2 + 5

Start from 0, 2 jumps towards right. You reach at 2.

Start from 2, 5 jumps towards right. You reach at 7.

Therefore, 2 + 5 = 7

Subtraction

Subtract 4 from 7.  i.e 7 - 4

Start from 0, jump directly to 7.

Start from 7,  4 jumps towards left. You reach at 3.

Multiplication

Example i.e 3 x 2

Multiplication means repeated addition. Since 3 x 2 means 3 added twice.

Start from 0. Make 2 jumps (each jump of 3 units).You reach at 6.

Question: Find  (a) 3 × 3; (b) 4 × 2 using the number line.

Solution:

(a)  Start from 0. Make 1 jump of 3 steps towards right. You reach at 3.

      Start from 3.  Make 1 jump of 3 steps towards right. You reach at 6.

      Start from 6. Make 1 jump of 3 steps towards right. You reach at 9.

Therefore, 3 x 3 = 9

(b) Start from 0.  Make 1 jump of 4 steps towards right. You reach at 4.

      Start from 4.  Make 1 jump of 4 steps towards right. You reach at 8.

Therefore, 4 x 2 = 8

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