Bruce evaluates the expression on a math quiz, 8.8 ÷ 2.7 and gets an answer of 4.14.

Question

Is this a reasonable answer?
A.
Since 8.8 rounds to 9 and 2.7 rounds to 2, so division rounds to 5. His answer of 4.14 rounds to 4. So, it is not reasonable.

B.
Since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is not reasonable.

C.
Since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 5. So, it is reasonable.

D.
Since 8.8 rounds to 8 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is reasonable.

Answer 1

To determine if Bruce's answer of 4.14 for the expression 8.8 ÷ 2.7 is reasonable, let's evaluate the problem step by step:

1. Round the numbers:

   • 8.8 rounds to 9 (when rounding to the nearest whole number).
   • 2.7 rounds to 3 (when rounding to the nearest whole number).

2. Perform the division with the rounded numbers:

   • If we divide the rounded values: \( 9 ÷ 3 = 3 \).

3. Check Bruce's answer:

   • Bruce's answer of 4.14 rounds to 4 when rounding to the nearest whole number.

4. Assess the reasonableness:

   • The rounded division gives us 3, while Bruce's rounded answer is 4. Since 4 is not close to the expected value of 3, Bruce's answer does not seem reasonable.

Based on the analysis:

• The correct choice would be B: Since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is not reasonable.