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

Answer:

Hence, Diego was wrong with his calculations. The difference of both are not equal to $\dfrac{9}{10}$.

Step-by-step explanation:

No, Diego is not correct.

He went wrong in his calculations.

since,

the difference of $\dfrac{1}{10}$ and  $\dfrac{1}{10}$ is 0 (As both the numbers are same so their difference will be zero)

but the difference of $\dfrac{100}{100}$ and $\dfrac{10}{100}$ is solved as:

As $\dfrac{100}{100}=1$

and $\dfrac{10}{100}=\dfrac{1}{10}$

and now the difference is:  $1-\dfrac{1}{10}=\dfrac{10-1}{10}=\dfrac{9}{10}$

Hence the difference for both the operations is not same.