Answer:
Hence, Diego was wrong with his calculations. The difference of both are not equal to [tex]\dfrac{9}{10}[/tex].
Step-by-step explanation:
No, Diego is not correct.
He went wrong in his calculations.
since,
the difference of [tex]\dfrac{1}{10}[/tex] and [tex]\dfrac{1}{10}[/tex] is 0 (As both the numbers are same so their difference will be zero)
but the difference of [tex]\dfrac{100}{100}[/tex] and [tex]\dfrac{10}{100}[/tex] is solved as:
As [tex]\dfrac{100}{100}=1[/tex]
and [tex]\dfrac{10}{100}=\dfrac{1}{10}[/tex]
and now the difference is: [tex]1-\dfrac{1}{10}=\dfrac{10-1}{10}=\dfrac{9}{10}[/tex]
Hence the difference for both the operations is not same.
