Question
Miss Johnson multiply 3.04 / 7.091 and got the product of 2.155664 is her answer reasonable?Why or why not
Answers
GPT-4o mini
To determine if Miss Johnson's answer of 2.155664 for the division \( 3.04 / 7.091 \) is reasonable, we can perform the division and check the result.
First, let's estimate the quotient:
- \( 3.04 \) is approximately \( 3 \).
- \( 7.091 \) is approximately \( 7 \).
Now, dividing these estimates:
\[
\frac{3}{7} \approx 0.42857
\]
This tells us that the expected value of \( 3.04 / 7.091 \) should be around \( 0.43 \).
Now, let's compute the exact value of \( 3.04 / 7.091 \):
\[
\frac{3.04}{7.091} \approx 0.4287
\]
Miss Johnson's calculated answer of \( 2.155664 \) is much larger than what we estimated and calculated, suggesting her answer is not reasonable.
**Conclusion**: Miss Johnson's answer is not reasonable because the expected value of the division \( 3.04 / 7.091 \) is approximately \( 0.4287 \), not close to \( 2.155664 \).
First, let's estimate the quotient:
- \( 3.04 \) is approximately \( 3 \).
- \( 7.091 \) is approximately \( 7 \).
Now, dividing these estimates:
\[
\frac{3}{7} \approx 0.42857
\]
This tells us that the expected value of \( 3.04 / 7.091 \) should be around \( 0.43 \).
Now, let's compute the exact value of \( 3.04 / 7.091 \):
\[
\frac{3.04}{7.091} \approx 0.4287
\]
Miss Johnson's calculated answer of \( 2.155664 \) is much larger than what we estimated and calculated, suggesting her answer is not reasonable.
**Conclusion**: Miss Johnson's answer is not reasonable because the expected value of the division \( 3.04 / 7.091 \) is approximately \( 0.4287 \), not close to \( 2.155664 \).