Printable math worksheet for estimating sums by rounding to the nearest thousand.

Problem Description:

The task involves estimating the sum of two numbers by rounding each addend to the nearest thousand. This is a fundamental exercise in estimation, which helps simplify calculations and provides approximate results.

Steps to Solve:

1. Understand Rounding to the Nearest Thousand:
- To round a number to the nearest thousand, look at the digit in the hundreds place.
- If the hundreds digit is 5 or greater, round up.
- If the hundreds digit is less than 5, round down.
- Replace the last three digits (hundreds, tens, and units) with zeros.

2. Apply Rounding to Each Addend:
- For each pair of numbers, round both addends to the nearest thousand.
- Then, add the rounded values together.

3. Perform the Calculations:
- Follow the steps for each problem listed in the image.

Solution for Each Problem:

#### 1) \( 4,373 + 8,134 \)
- Round \( 4,373 \) to the nearest thousand: The hundreds digit is 3, so round down to \( 4,000 \).
- Round \( 8,134 \) to the nearest thousand: The hundreds digit is 1, so round down to \( 8,000 \).
- Sum: \( 4,000 + 8,000 = 12,000 \).

#### 2) \( 5,401 + 26,118 \)
- Round \( 5,401 \) to the nearest thousand: The hundreds digit is 4, so round down to \( 5,000 \).
- Round \( 26,118 \) to the nearest thousand: The hundreds digit is 1, so round down to \( 26,000 \).
- Sum: \( 5,000 + 26,000 = 31,000 \).

#### 3) \( 31,816 + 74,119 \)
- Round \( 31,816 \) to the nearest thousand: The hundreds digit is 8, so round up to \( 32,000 \).
- Round \( 74,119 \) to the nearest thousand: The hundreds digit is 1, so round down to \( 74,000 \).
- Sum: \( 32,000 + 74,000 = 106,000 \).

#### 4) \( 6,791 + 1,462 \)
- Round \( 6,791 \) to the nearest thousand: The hundreds digit is 7, so round up to \( 7,000 \).
- Round \( 1,462 \) to the nearest thousand: The hundreds digit is 4, so round down to \( 1,000 \).
- Sum: \( 7,000 + 1,000 = 8,000 \).

#### 5) \( 19,702 + 1,993 \)
- Round \( 19,702 \) to the nearest thousand: The hundreds digit is 7, so round up to \( 20,000 \).
- Round \( 1,993 \) to the nearest thousand: The hundreds digit is 9, so round up to \( 2,000 \).
- Sum: \( 20,000 + 2,000 = 22,000 \).

#### 6) \( 96,304 + 63,179 \)
- Round \( 96,304 \) to the nearest thousand: The hundreds digit is 3, so round down to \( 96,000 \).
- Round \( 63,179 \) to the nearest thousand: The hundreds digit is 1, so round down to \( 63,000 \).
- Sum: \( 96,000 + 63,000 = 159,000 \).

#### 7) \( 2,809 + 9,697 \)
- Round \( 2,809 \) to the nearest thousand: The hundreds digit is 8, so round up to \( 3,000 \).
- Round \( 9,697 \) to the nearest thousand: The hundreds digit is 6, so round up to \( 10,000 \).
- Sum: \( 3,000 + 10,000 = 13,000 \).

#### 8) \( 8,625 + 37,756 \)
- Round \( 8,625 \) to the nearest thousand: The hundreds digit is 6, so round up to \( 9,000 \).
- Round \( 37,756 \) to the nearest thousand: The hundreds digit is 7, so round up to \( 38,000 \).
- Sum: \( 9,000 + 38,000 = 47,000 \).

#### 9) \( 54,814 + 11,443 \)
- Round \( 54,814 \) to the nearest thousand: The hundreds digit is 8, so round up to \( 55,000 \).
- Round \( 11,443 \) to the nearest thousand: The hundreds digit is 4, so round down to \( 11,000 \).
- Sum: \( 55,000 + 11,000 = 66,000 \).

#### 10) \( 7,748 + 2,211 \)
- Round \( 7,748 \) to the nearest thousand: The hundreds digit is 7, so round up to \( 8,000 \).
- Round \( 2,211 \) to the nearest thousand: The hundreds digit is 2, so round down to \( 2,000 \).
- Sum: \( 8,000 + 2,000 = 10,000 \).

#### 11) \( 1,271 + 5,903 \)
- Round \( 1,271 \) to the nearest thousand: The hundreds digit is 2, so round down to \( 1,000 \).
- Round \( 5,903 \) to the nearest thousand: The hundreds digit is 9, so round up to \( 6,000 \).
- Sum: \( 1,000 + 6,000 = 7,000 \).

#### 12) \( 18,337 + 9,201 \)
- Round \( 18,337 \) to the nearest thousand: The hundreds digit is 3, so round down to \( 18,000 \).
- Round \( 9,201 \) to the nearest thousand: The hundreds digit is 2, so round down to \( 9,000 \).
- Sum: \( 18,000 + 9,000 = 27,000 \).

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 12,000 \\
2) & 31,000 \\
3) & 106,000 \\
4) & 8,000 \\
5) & 22,000 \\
6) & 159,000 \\
7) & 13,000 \\
8) & 47,000 \\
9) & 66,000 \\
10) & 10,000 \\
11) & 7,000 \\
12) & 27,000 \\
\end{array}
}
\]