Round each amount to the nearest hundred to find an estimate of:3891 ÷ 289 A. 13 B. 20 C. 130 D. 200

1. Break Down the Problem

We need to estimate the value of $3891 \div 289$ by rounding each number to the nearest hundred.

2. Relevant Concepts

To round to the nearest hundred, we look at the tens digit. If it's 5 or greater, we round up; if it's less than 5, we round down.

3. Analysis and Detail

• Rounding 3891:

  • The hundreds digit is 8 (hundreds) and the tens digit is 9, which is greater than 5.
  • Thus, $3891$ rounds to $3900$.

• Rounding 289:

  • The hundreds digit is 2 and the tens digit is 8, which is greater than 5.
  • Thus, $289$ rounds to $300$.

4. Calculate the Estimate

Now we can calculate the estimated division:

$\frac{3900}{300}$

To simplify:

$\frac{3900 \div 300} = \frac{39}{3} = 13$

Verify and Summarize

The rounded estimates show that $3891 \div 289$ approximately equals $13$.

Final Answer

The estimated result is A. 13.