Question

Represent 56 ÷ 8 = 7 using subtraction. Explain your reasoning.

Answer 1

`56/ 8=7`

Explanation:

The relationship of division and subtraction:

If
`a/ b=c` then
`a-bc=0` (Definition 1)

The given equation is

`56/ 8=7`

We need to prove this by subtraction.

Let
`56/ 8=x`

Here, a= 56 is dividend, b=8 is divisor and c=7 is quotient.

`56-8=48` (1st time)

`48-8=40` (2nd time)

`40-8=32` (3rd time)

`32-8=24` (4th time)

`24-8=16` (5th time)

`16-8=8` (6th time)

`8-8=0` (7th time)

It means we need to subtract 8 (total 7 times) from 56 to get 0.

`56-8* 7=0`

Using definition (1) , we get

`56/ 8=7`

Hence proved.