Question

Diego compared the difference for 1/10 - 1/10 and 100/100 - 10/100. He said the difference both equal 9/10. Is Diego correct? Explain

Answer 1

Hence, Diego was wrong with his calculations. The difference of both are not equal to
`(9)/(10)`.

Explanation:

No, Diego is not correct.

He went wrong in his calculations.

since,

the difference of
`(1)/(10)` and
`(1)/(10)` is 0 (As both the numbers are same so their difference will be zero)

but the difference of
`(100)/(100)` and
`(10)/(100)` is solved as:

As
`(100)/(100)=1`

and
`(10)/(100)=(1)/(10)`

and now the difference is:
`1-(1)/(10)=(10-1)/(10)=(9)/(10)`

Hence the difference for both the operations is not same.