Estimate the sum by rounding each number to the nearest hundred and then adding.929 + 89The sum is approximately .

1. Break Down the Problem

• Identify the numbers to round: 929 and 89.
• Determine how to round each number to the nearest hundred.
• Calculate the sum of the rounded numbers.

2. Relevant Concepts

• Rounding rules:
  • If the digit in the tens place is 5 or greater, round up.
  • If the digit in the tens place is less than 5, round down.

3. Analysis and Detail

1. Round 929 to the nearest hundred:

   • The hundreds digit is 9, and the tens digit is 2. Since 2 is less than 5, we round down.
   • So, $929 \approx 900$.

2. Round 89 to the nearest hundred:

   • The hundreds digit is 0, but since it’s below 100, we round it to 0 because 89 is closer to 0 than it is to 100.
   • So, $89 \approx 0$.

3. Add the rounded numbers:

   • $900 + 0 = 900$.

4. Verify and Summarize

• The individual rounding results seem correct.
• The total sum of the rounded numbers is straightforward and confirms the calculations.

Final Answer

The sum is approximately 900.