Rounding Numbers to 10,000 Practice Problems & Worksheets

Master rounding numbers to tens, hundreds, and thousands up to 10,000 with step-by-step practice problems, examples, and instant feedback for grades 3-5.

📚What You'll Practice
  • Round 3-digit and 4-digit numbers to the nearest ten using the ones digit
  • Round numbers to the nearest hundred by examining the tens digit
  • Apply the rule: round up if digit is 5 or greater, down if less than 5
  • Practice with numbers like 347, 283, and 2,849 to build confidence
  • Use the tilde symbol (∼) to show rounded number relationships
  • Distinguish between rounding to tens versus hundreds in multi-step problems

Understanding Rounding Numbers up to 10,000

Complete explanation with examples

Rounding Numbers

When we are asked to round a number, we are actually asked to change it to the nearest whole and round number.

Rounding to tens

If the ones digit is 55 or higher, we round up to the nearest tens, to the closest larger round number.
If the ones digit is less than 55, we round down to the nearest tens to the closest smaller round number.

Rounding to hundreds

If the tens digit is 55 or higher, we round up to the nearest hundred.
If the tens digit is less than 55, we round down to the nearest hundred.

Color-coded visual for rounding numbers, showing digits 0–4 in orange to round down and 5–9 in black to round up, helping explain rounding rules in math.

Detailed explanation

Practice Rounding Numbers up to 10,000

Test your knowledge with 6 quizzes

\( 2567\approx\text{ ?} \)

Examples with solutions for Rounding Numbers up to 10,000

Step-by-step solutions included
Exercise #1

52≈ ? 52\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we will round the number 52 to the nearest 10. Here's the step-by-step explanation:

  • Step 1: Identify the ones digit of 52, which is 2.
  • Step 2: Apply the rounding rule: if the ones digit is less than 5, round down; if it is 5 or more, round up.
  • Step 3: Since the ones digit of 52 is 2, which is less than 5, we will round down to the nearest multiple of 10.
  • Step 4: The nearest multiple of 10 below 52 is 50.

Therefore, when 52 is rounded to the nearest 10, it becomes 50 50 .

Answer:

50 50

Exercise #2

68≈ ? 68\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the tens and units digits of the number 68.
  • Step 2: Use rounding rules to determine if we round up or down.
  • Step 3: Replace the units digit appropriately to find the rounded number.

Now, let's work through each step:
Step 1: The tens digit of 68 is 6, and the units digit is 8.
Step 2: Since the units digit (8) is 5 or greater, we round up the number 68.
Step 3: After rounding up, we replace the units digit with 0, resulting in the rounded number 70.

Therefore, the solution to the problem is 70 70 .

Answer:

70 70

Exercise #3

Choose the right answer:

12,346≈ ? 12,346\approx\text{ ?}

Step-by-Step Solution

To solve the problem, we need to understand rounding principles, particularly rounding a number to the nearest ten or hundred, as implied by the given options.

Let's follow these steps:

  • Step 1: Determine rounding to the nearest ten.
    If we consider 12,346 12,346 , look at the units digit (6). Since 6 is greater than or equal to 5, we round the number up to 12,350 12,350 .
  • Step 2: Examine the rounding to the nearest hundred for completeness.
    The tens digit of 12,346 12,346 is 4. Since 4 is less than 5, we would round down to 12,300 12,300 .
  • Step 3: Compare the results to the choices given:
    The possible answers include 12,340 12,340 , 12,350 12,350 , 12,400 12,400 , and 12,300 12,300 . Based on our calculations, 12,350 12,350 is correct for rounding to the nearest ten.

Thus, rounding 12,346 12,346 to the nearest ten results in 12,350 12,350 .

Therefore, the correct answer is choice 3: 12,350\text{choice 3: } 12,350.

Answer:

12,350 12,350

Exercise #4

134≈ ? 134\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the last digit of the number, which is the ones digit.
  • Step 2: Apply the rounding rule for the nearest ten based on the ones digit.
  • Step 3: Use the rules to determine the correct rounded number.

Let's proceed through these steps:
Step 1: The number given is 134 134 . Here, the ones digit is 4 4 .
Step 2: When rounding to the nearest ten, we consider the rule: if the ones digit is less than 5 5 , round down; if it is 5 5 or more, round up.
Step 3: Since the ones digit is 4 4 , which is less than 5 5 , we round down. Therefore, we decrease 134 134 to the nearest ten, which is 130 130 .

Therefore, the solution to the problem is 130 130 .

Answer:

130 130

Exercise #5

Choose the correct answer:

1,852≈ ? 1,852\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Analyze the number given: 1,852.
  • Step 2: Determine the place value to round (nearest ten).
  • Step 3: Examine the digit in the ones place to determine the rounding action.
  • Step 4: Apply rounding rules to decide the new value in tens.

Let us begin:
Step 1: The number given is 1,852.
Step 2: Decide on rounding to the nearest ten, as indicated by choice scope.
Step 3: Look at the digit in the ones place, which is 2.
Step 4: Given that 2 is less than 5, we do not round up; we round down, leaving the tens digit (5) unchanged.
Step 5: Thus, 1,852 rounded to the nearest ten is 1,850.

Therefore, the solution to the problem is 1,850 1,850 .

Answer:

1,850 1,850

Frequently Asked Questions

How do you round numbers to the nearest ten?

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Look at the ones digit. If it's 5 or greater, round up to the next ten. If it's less than 5, round down. For example, 23 rounds down to 20 (ones digit is 3), while 46 rounds up to 50 (ones digit is 6).

What's the difference between rounding to tens and hundreds?

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When rounding to tens, examine the ones digit. When rounding to hundreds, examine the tens digit. The number 347 rounds to 350 (nearest ten) but 300 (nearest hundred) because you look at different digits.

Why do we round 5 up instead of down?

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The rounding rule states that 5 and above rounds up, while 4 and below rounds down. This creates a balanced system where half the digits (0-4) round down and half (5-9) round up, making calculations fair and consistent.

How do you round 4-digit numbers like 2,847?

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Follow the same rules but pay attention to what place you're rounding to: • To nearest ten: look at ones digit (7) → rounds to 2,850 • To nearest hundred: look at tens digit (4) → rounds to 2,800 • To nearest thousand: look at hundreds digit (8) → rounds to 3,000

What does the tilde symbol (∼) mean in rounding?

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The tilde symbol (∼) shows that a number has been rounded. For example, 23 ∼ 20 means "23 rounds to 20." It's mathematical notation that clearly indicates an approximation rather than an exact value.

When should students learn rounding numbers?

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Students typically learn rounding in grades 3-5. They start with rounding to tens, then progress to hundreds and thousands. Mastering rounding helps with estimation, mental math, and understanding place value concepts.

What are common mistakes when rounding numbers?

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Common errors include: looking at the wrong digit (checking ones instead of tens for hundreds), forgetting the "5 rounds up" rule, and rounding multiple times instead of going directly to the target place value. Practice identifying which digit to examine first.

How does rounding help in real life?

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Rounding helps estimate costs when shopping, approximate distances and time, simplify large numbers in reports, and make quick mental calculations. For example, rounding $23.47 to $20 helps estimate if you have enough money for a purchase.

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