Printable math worksheets for rounding numbers to the nearest 5, 10, 100, and 1000.

Problem Overview:

The task involves rounding numbers to the nearest 5, 10, 100, and 1,000. The worksheet provides specific instructions and examples for each type of rounding. Below, I will solve the problems step by step and explain the reasoning behind each solution.

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Key Rounding Rules:

1. Rounding to the Nearest 5:
- Look at the digit in the ones place.
- If it is 0, 1, 2, 3, or 4, round down to the nearest multiple of 5.
- If it is 5, 6, 7, 8, or 9, round up to the nearest multiple of 5.

2. Rounding to the Nearest 10:
- Look at the digit in the ones place.
- If it is 0, 1, 2, 3, or 4, round down to the nearest multiple of 10.
- If it is 5, 6, 7, 8, or 9, round up to the nearest multiple of 10.

3. Rounding to the Nearest 100:
- Look at the digit in the tens place.
- If it is 0, 1, 2, 3, or 4, round down to the nearest multiple of 100.
- If it is 5, 6, 7, 8, or 9, round up to the nearest multiple of 100.

4. Rounding to the Nearest 1,000:
- Look at the digit in the hundreds place.
- If it is 0, 1, 2, 3, or 4, round down to the nearest multiple of 1,000.
- If it is 5, 6, 7, 8, or 9, round up to the nearest multiple of 1,000.

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Solutions:

#### Part 1: Rounding to the Nearest 5
1. Round these numbers off to the nearest 5:
- a) 221: The ones digit is 1 (less than 5), so round down to 220.
- Answer: 220
- b) 476: The ones digit is 6 (greater than or equal to 5), so round up to 480.
- Answer: 480
- c) 277: The ones digit is 7 (greater than or equal to 5), so round up to 280.
- Answer: 280
- d) 903: The ones digit is 3 (less than 5), so round down to 900.
- Answer: 900
- e) 6,090: The ones digit is 0 (less than 5), so round down to 6,090.
- Answer: 6,090
- f) 4,065: The ones digit is 5 (greater than or equal to 5), so round up to 4,070.
- Answer: 4,070

#### Part 2: Rounding to the Nearest 10
2. Round these numbers off to the nearest 10:
- a) 2,265: The ones digit is 5 (greater than or equal to 5), so round up to 2,270.
- Answer: 2,270
- b) 23: The ones digit is 3 (less than 5), so round down to 20.
- Answer: 20
- c) 2,577: The ones digit is 7 (greater than or equal to 5), so round up to 2,580.
- Answer: 2,580
- d) 427: The ones digit is 7 (greater than or equal to 5), so round up to 430.
- Answer: 430
- e) 3,753: The ones digit is 3 (less than 5), so round down to 3,750.
- Answer: 3,750
- f) 1,115: The ones digit is 5 (greater than or equal to 5), so round up to 1,120.
- Answer: 1,120

#### Part 3: Rounding to the Nearest 100
3. Round these numbers off to the nearest 100:
- a) 4,425: The tens digit is 2 (less than 5), so round down to 4,400.
- Answer: 4,400
- b) 2,511: The tens digit is 1 (less than 5), so round down to 2,500.
- Answer: 2,500
- c) 9,827: The tens digit is 2 (less than 5), so round down to 9,800.
- Answer: 9,800
- d) 1,201: The tens digit is 0 (less than 5), so round down to 1,200.
- Answer: 1,200
- e) 7,995: The tens digit is 9 (greater than or equal to 5), so round up to 8,000.
- Answer: 8,000
- f) +40,933: The tens digit is 3 (less than 5), so round down to 40,900.
- Answer: 40,900

#### Part 4: Rounding to the Nearest 1,000
4. Round these numbers off to the nearest 1,000:
- a) 3,285: The hundreds digit is 2 (less than 5), so round down to 3,000.
- Answer: 3,000
- b) 1,104: The hundreds digit is 1 (less than 5), so round down to 1,000.
- Answer: 1,000
- c) 6,056: The hundreds digit is 0 (less than 5), so round down to 6,000.
- Answer: 6,000
- d) 8,404: The hundreds digit is 4 (less than 5), so round down to 8,000.
- Answer: 8,000
- e) 1,277: The hundreds digit is 2 (less than 5), so round down to 1,000.
- Answer: 1,000
- f) 4,901: The hundreds digit is 9 (greater than or equal to 5), so round up to 5,000.
- Answer: 5,000
- g) 5,905: The hundreds digit is 9 (greater than or equal to 5), so round up to 6,000.
- Answer: 6,000
- h) 9,098: The hundreds digit is 0 (less than 5), so round down to 9,000.
- Answer: 9,000
- i) 2,489: The hundreds digit is 4 (less than 5), so round down to 2,000.
- Answer: 2,000
- j) 50,181: The hundreds digit is 1 (less than 5), so round down to 50,000.
- Answer: 50,000

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Final Answers:

#### Part 1: Rounding to the Nearest 5
- a) 220
- b) 480
- c) 280
- d) 900
- e) 6,090
- f) 4,070

#### Part 2: Rounding to the Nearest 10
- a) 2,270
- b) 20
- c) 2,580
- d) 430
- e) 3,750
- f) 1,120

#### Part 3: Rounding to the Nearest 100
- a) 4,400
- b) 2,500
- c) 9,800
- d) 1,200
- e) 8,000
- f) 40,900

#### Part 4: Rounding to the Nearest 1,000
- a) 3,000
- b) 1,000
- c) 6,000
- d) 8,000
- e) 1,000
- f) 5,000
- g) 6,000
- h) 9,000
- i) 2,000
- j) 50,000

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Part 1:} \\
\text{a) 220, b) 480, c) 280, d) 900, e) 6,090, f) 4,070} \\
\text{Part 2:} \\
\text{a) 2,270, b) 20, c) 2,580, d) 430, e) 3,750, f) 1,120} \\
\text{Part 3:} \\
\text{a) 4,400, b) 2,500, c) 9,800, d) 1,200, e) 8,000, f) 40,900} \\
\text{Part 4:} \\
\text{a) 3,000, b) 1,000, c) 6,000, d) 8,000, e) 1,000, f) 5,000, g) 6,000, h) 9,000, i) 2,000, j) 50,000}
\end{array}
}
\]