Question

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

Answer 1

Answer:

$56\div 8=7$

Step-by-step explanation:

The relationship of division and subtraction:

If $a\div b=c$ then $a-bc=0$            (Definition 1)

The given equation is

$56\div 8=7$

We need to prove this by subtraction.

Let $56\div 8=x$

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.

$56-8\times 7=0$

Using definition (1) , we get

$56\div 8=7$

Hence proved.