Rounding to the nearest 10 Worksheets - Free Printable

Problem Overview:

The task involves finding the missing place value in a 4-digit number. Each problem provides an equation where one component is missing, and the goal is to determine the missing value that makes the equation true.

Solution Approach:

1. Understand the Place Value System:
- A 4-digit number consists of thousands, hundreds, tens, and ones places.
- For example, in the number 4,911:
- Thousands place: 4
- Hundreds place: 9
- Tens place: 1
- Ones place: 1

2. Analyze Each Equation:
- Break down the given equation into its components.
- Identify which place value is missing.
- Use basic arithmetic (addition or subtraction) to solve for the missing value.

3. Solve Step-by-Step:
Below, I will solve each problem systematically.

---

Detailed Solutions:

#### Problem 1: \( 1 + 4,000 + 900 + \_\_ = 4,911 \)
- Breakdown:
- \( 1 \): Ones place
- \( 4,000 \): Thousands place
- \( 900 \): Hundreds place
- Missing value: Tens place
- Equation:
\[
1 + 4,000 + 900 + x = 4,911
\]
- Simplify:
\[
4,901 + x = 4,911
\]
- Solve for \( x \):
\[
x = 4,911 - 4,901 = 10
\]
- Answer: \( 10 \)

#### Problem 2: \( 5 + 70 + 900 + \_\_ = 1,975 \)
- Breakdown:
- \( 5 \): Ones place
- \( 70 \): Tens place
- \( 900 \): Hundreds place
- Missing value: Thousands place
- Equation:
\[
5 + 70 + 900 + x = 1,975
\]
- Simplify:
\[
975 + x = 1,975
\]
- Solve for \( x \):
\[
x = 1,975 - 975 = 1,000
\]
- Answer: \( 1,000 \)

#### Problem 3: \( 0 + 50 + \_\_ + 4 = 1,054 \)
- Breakdown:
- \( 0 \): Thousands place
- \( 50 \): Tens place
- \( 4 \): Ones place
- Missing value: Hundreds place
- Equation:
\[
0 + 50 + x + 4 = 1,054
\]
- Simplify:
\[
54 + x = 1,054
\]
- Solve for \( x \):
\[
x = 1,054 - 54 = 1,000
\]
- Answer: \( 1,000 \)

#### Problem 4: \( 8,000 + 400 + \_\_ + 6 = 8,466 \)
- Breakdown:
- \( 8,000 \): Thousands place
- \( 400 \): Hundreds place
- \( 6 \): Ones place
- Missing value: Tens place
- Equation:
\[
8,000 + 400 + x + 6 = 8,466
\]
- Simplify:
\[
8,406 + x = 8,466
\]
- Solve for \( x \):
\[
x = 8,466 - 8,406 = 60
\]
- Answer: \( 60 \)

#### Problem 5: \( \_\_ + 7 + 200 + 4,000 = 4,207 \)
- Breakdown:
- \( 7 \): Ones place
- \( 200 \): Hundreds place
- \( 4,000 \): Thousands place
- Missing value: Tens place
- Equation:
\[
x + 7 + 200 + 4,000 = 4,207
\]
- Simplify:
\[
x + 4,207 = 4,207
\]
- Solve for \( x \):
\[
x = 4,207 - 4,207 = 0
\]
- Answer: \( 0 \)

#### Problem 6: \( 1 + 60 + 400 + \_\_ = 6,461 \)
- Breakdown:
- \( 1 \): Ones place
- \( 60 \): Tens place
- \( 400 \): Hundreds place
- Missing value: Thousands place
- Equation:
\[
1 + 60 + 400 + x = 6,461
\]
- Simplify:
\[
461 + x = 6,461
\]
- Solve for \( x \):
\[
x = 6,461 - 461 = 6,000
\]
- Answer: \( 6,000 \)

#### Problem 7: \( 5 + 10 + 200 + \_\_ = 5,215 \)
- Breakdown:
- \( 5 \): Ones place
- \( 10 \): Tens place
- \( 200 \): Hundreds place
- Missing value: Thousands place
- Equation:
\[
5 + 10 + 200 + x = 5,215
\]
- Simplify:
\[
215 + x = 5,215
\]
- Solve for \( x \):
\[
x = 5,215 - 215 = 5,000
\]
- Answer: \( 5,000 \)

#### Problem 8: \( 2 + 100 + \_\_ + 80 = 2,182 \)
- Breakdown:
- \( 2 \): Ones place
- \( 100 \): Hundreds place
- \( 80 \): Tens place
- Missing value: Thousands place
- Equation:
\[
2 + 100 + x + 80 = 2,182
\]
- Simplify:
\[
182 + x = 2,182
\]
- Solve for \( x \):
\[
x = 2,182 - 182 = 2,000
\]
- Answer: \( 2,000 \)

#### Problem 9: \( 60 + \_\_ + 400 + 8,000 = 8,460 \)
- Breakdown:
- \( 60 \): Tens place
- \( 400 \): Hundreds place
- \( 8,000 \): Thousands place
- Missing value: Ones place
- Equation:
\[
60 + x + 400 + 8,000 = 8,460
\]
- Simplify:
\[
8,460 + x = 8,460
\]
- Solve for \( x \):
\[
x = 8,460 - 8,460 = 0
\]
- Answer: \( 0 \)

#### Problem 10: \( 8 + \_\_ + 7,000 + 10 = 7,318 \)
- Breakdown:
- \( 8 \): Ones place
- \( 10 \): Tens place
- \( 7,000 \): Thousands place
- Missing value: Hundreds place
- Equation:
\[
8 + x + 7,000 + 10 = 7,318
\]
- Simplify:
\[
7,018 + x = 7,318
\]
- Solve for \( x \):
\[
x = 7,318 - 7,018 = 300
\]
- Answer: \( 300 \)

#### Problem 11: \( 3 + 900 + \_\_ + 60 = 9,963 \)
- Breakdown:
- \( 3 \): Ones place
- \( 900 \): Hundreds place
- \( 60 \): Tens place
- Missing value: Thousands place
- Equation:
\[
3 + 900 + x + 60 = 9,963
\]
- Simplify:
\[
963 + x = 9,963
\]
- Solve for \( x \):
\[
x = 9,963 - 963 = 9,000
\]
- Answer: \( 9,000 \)

#### Problem 12: \( \_\_ + 700 + 1,000 + 40 = 1,742 \)
- Breakdown:
- \( 700 \): Hundreds place
- \( 1,000 \): Thousands place
- \( 40 \): Tens place
- Missing value: Ones place
- Equation:
\[
x + 700 + 1,000 + 40 = 1,742
\]
- Simplify:
\[
1,740 + x = 1,742
\]
- Solve for \( x \):
\[
x = 1,742 - 1,740 = 2
\]
- Answer: \( 2 \)

#### Problem 13: \( 3,000 + \_\_ + 80 + 3 = 3,683 \)
- Breakdown:
- \( 3,000 \): Thousands place
- \( 80 \): Tens place
- \( 3 \): Ones place
- Missing value: Hundreds place
- Equation:
\[
3,000 + x + 80 + 3 = 3,683
\]
- Simplify:
\[
3,083 + x = 3,683
\]
- Solve for \( x \):
\[
x = 3,683 - 3,083 = 600
\]
- Answer: \( 600 \)

#### Problem 14: \( \_\_ + 90 + 1,000 + 8 = 1,098 \)
- Breakdown:
- \( 90 \): Tens place
- \( 1,000 \): Thousands place
- \( 8 \): Ones place
- Missing value: Hundreds place
- Equation:
\[
x + 90 + 1,000 + 8 = 1,098
\]
- Simplify:
\[
1,098 + x = 1,098
\]
- Solve for \( x \):
\[
x = 1,098 - 1,098 = 0
\]
- Answer: \( 0 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 10 \\
2. & 1,000 \\
3. & 1,000 \\
4. & 60 \\
5. & 0 \\
6. & 6,000 \\
7. & 5,000 \\
8. & 2,000 \\
9. & 0 \\
10. & 300 \\
11. & 9,000 \\
12. & 2 \\
13. & 600 \\
14. & 0 \\
\end{array}
}
\]