Estimate the sum of 9045 and 549.Hint: Round each number to the nearest hundred.

1. Break Down the Problem

To estimate the sum of 9045 and 549 by rounding each number to the nearest hundred, we follow these main steps:

• Round 9045 to the nearest hundred.
• Round 549 to the nearest hundred.
• Calculate the sum of the rounded numbers.

2. Relevant Concepts

Rounding rules:

• If the last two digits (tens and units) are 50 or more, round up.
• If the last two digits are less than 50, round down.

3. Analysis and Detail

1. Rounding 9045:

   • The last two digits are 45, which is greater than 50.
   • Therefore, we round 9045 up to 9100.

2. Rounding 549:

   • The last two digits are 49, which is less than 50.
   • Therefore, we round 549 down to 500.

3. Calculating the Sum:

   • Now, add the rounded values: $9100 + 500 = 9600$

4. Verify and Summarize

We have rounded both numbers correctly: 9045 to 9100 and 549 to 500. The estimated sum of these rounded numbers is 9600.

Final Answer

The estimated sum of 9045 and 549 is 9600.