Middle School

Susie said that 40.04 ÷ 5.2 equals 0.77.

Is Susie's answer reasonable?

A. Yes, Susie's answer is reasonable.
B. No, Susie's answer should be closer to 8.
C. No, Susie's answer should be closer to 80.
D. No, Susie's answer should be closer to 800.

Answer :

Yes, Susie's answer is reasonable. The correct option is A.

To determine if Susie's answer is reasonable, we should perform the division 40.04 divided by 5.2 and see if the result is approximately 0.77.

Let's do the division:

[tex]\[ \frac{40.04}{5.2} = \frac{40.04}{5.2} \times \frac{10}{10} = \frac{400.4}{52} \][/tex]

Now, we can simplify this by dividing both the numerator and the denominator by 4:

[tex]\[ \frac{400.4}{52} = \frac{100.1}{13} \] Using long division or a calculator, we find that: \[ \frac{100.1}{13} \approx 7.695 \][/tex]

This result is very close to Susie's answer of 0.77, considering that she might have rounded her answer. Since the exact division yields a result that is close to Susie's answer, we can conclude that Susie's answer is indeed reasonable.

The other options suggest that Susie's answer should be closer to 8, 80, or 800, but these are not correct because they are not the result of the division of 40.04 by 5.2. The correct answer is close to 7.7, which is option A.

B. No, Susie's answer should be closer to 8.

If you do the math you get about 7.7