Home Math Multiplication utilizing Quantity Traces | Multiplying on a Quantity Line

### Multiplication utilizing Quantity Traces | Multiplying on a Quantity Line

Allow us to multiply 1-digit quantity utilizing a quantity line.

1. Allow us to multiply 2 by 5 utilizing a quantity line.

Take 5 jumps of two steps every. The place will we attain?

Begin from 0. Take 5 jumps of two steps every. We attain 10.

2 + 2 + 2 + 2 + 2 = 10

or, 5 × 2 = 10

Now, take 2 jumps of 5 steps every. The place will we attain?

Begin from 0. Take 2 jumps of 5 steps every. We once more attain
10.

5 + 5 = 10

or, 2 × 5 = 10

The reply in multiplication is named the product.

So, 10 is the product of two and 5.

(b) Allow us to now multiply 2 and 10 on a quantity line.

Begin from 0. Take 10 jumps of two steps every. You attain 20.

2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20

or, 10 × 2 = 20

Begin from 0. Take 2 jumps of 10 steps every. You once more attain
20.

10 + 10 = 20

or, 2 × 10 = 20

10 × 2 = 20 and a pair of × 10 = 20

or, 10 × 2 = 2 × 10 = 20

So, 20 is the product of two and 10.

Altering the order of numbers being multiplied doesn’t
change the product. Which means that the product stays the identical even when the
order of the numbers is modified.

Extra Instance:

(i) If 2 × 10 = 20, then 10 × 2 = 20

(ii) If 5 × 2 = 10, then 2 × 5 = 10

(iii) If 2 × 4 = 8, then 4 × 2 = 8

(iv) If 3 × 10 = 30, then 10 × 3 = 30

(v) If 5 × 3 = 15, then 3 × 5 = 15

(vi) If 3 × 4 = 12, then 4 × 3 = 12

1. Multiplication utilizing Quantity Traces.

(i)

2 × 4 = __________

(ii)

4 × 2 = __________

2. Multiply on the quantity line. One has been completed for you.

(i)

× 5 = 20

(ii)

3 × 2 = _____

(iii)

7 × 1 = _____

(iv)

5 × 3 = _____