Represent 56 ÷ 8 = 7 using subtraction. Explain your reasoning.
1 answer:
Answer:
![56\div 8=7](https://tex.z-dn.net/?f=56%5Cdiv%208%3D7)
Step-by-step explanation:
The relationship of division and subtraction:
If
then
(Definition 1)
The given equation is
![56\div 8=7](https://tex.z-dn.net/?f=56%5Cdiv%208%3D7)
We need to prove this by subtraction.
Let ![56\div 8=x](https://tex.z-dn.net/?f=56%5Cdiv%208%3Dx)
Here, a= 56 is dividend, b=8 is divisor and c=7 is quotient.
(1st time)
(2nd time)
(3rd time)
(4th time)
(5th time)
(6th time)
(7th time)
It means we need to subtract 8 (total 7 times) from 56 to get 0.
![56-8\times 7=0](https://tex.z-dn.net/?f=56-8%5Ctimes%207%3D0)
Using definition (1) , we get
![56\div 8=7](https://tex.z-dn.net/?f=56%5Cdiv%208%3D7)
Hence proved.
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Step-by-step explanation:
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