Round Multi-Digit

Grade 4 · mathematics · 80 practice problems · read aloud

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Rounding Multi-Digit Numbers

What is Rounding and Why is it Useful? 🤔

Rounding means making a number simpler, but keeping its value close to what it was. It's like saying "about 4,700 people" instead of "4,723 people." We do this to make numbers easier to work with, estimate answers quickly, or understand big numbers better.

How to Round Numbers: Step-by-Step

  1. Find your place: Look at the digit you are rounding to (e.g., the hundreds place).
  2. Look next door: Look at the digit to the right of your place.
  3. Five or more, raise the score: If that digit is 5, 6, 7, 8, or 9, round your place up.
  4. Four or less, let it rest: If that digit is 0, 1, 2, 3, or 4, your place stays the same.
  5. Zero out: All the digits to the right of your place become zeros.

Let's See Some Examples!

Example 1: Round 3,847 to the nearest hundred.

1. We are rounding the 8 (hundreds place).
2. Look next door: The digit is 4 (tens place).
3. Four or less, let it rest! The 8 stays an 8.
4. Change the 4 and 7 to zeros.
✅ Answer: 3,800

Example 2: Round 6,259 to the nearest hundred.

1. We are rounding the 2 (hundreds place).
2. Look next door: The digit is 5 (tens place).
3. Five or more, raise the score! The 2 becomes a 3.
4. Change the 5 and 9 to zeros.
✅ Answer: 6,300

Watch Out! Common Mistakes

Changing the wrong digits: Only the digit you are rounding to can change. The digits to the right always become zeros. Don't change the digits to the left!

Forgetting the zeros: When you round 1,562 to the nearest hundred (1,600), you MUST write the zeros. 1,600 is not the same as 16!

Tips & Tricks to Remember

Rhyme Time: "Four or less, let it rest. Five or more, raise the score!" 🎵

Hill Method: Imagine the digit you're looking at is on a hill. 0-4 rolls down (stays the same). 5-9 rolls up (rounds up)!

Underline it: Underline the place value you are rounding to. This helps you focus on the right digit.

How to Practice

  • Use online math games that focus on rounding.
  • Ask a partner to call out numbers for you to round.
  • Look at numbers in real life, like prices or populations in a news article, and practice rounding them in your head.
  • Create your own practice problems and check your work!

Practice problems

6 of the 80, worked through step by step — try them before opening the answer.

1 Round 4,827 to the nearest hundred.

Hint: Look at the digit in the tens place to decide whether to round up or down.

Show the answer

Answer: 4,800

  1. Identify the hundreds place and the digit to its right. The number is 4,827. The hundreds place is the third digit from the right. So, the digits are: 4 (thousands), 8 (hundreds), 2 (tens), 7 (ones). This means we have 8 hundreds.
  2. Look at the digit immediately to the right of the hundreds place. The hundreds digit is 8. The digit to its right (the tens digit) is 2.
  3. Apply the rounding rule. The rule for rounding is: - If the digit to the right is 5 or greater (5, 6, 7, 8, 9), we round the hundreds digit up. - If the digit to the right is 4 or less (4, 3, 2, 1, 0), we keep the hundreds digit the same. Here, the tens digit is 2, which is 4 or less. Therefore, we keep the hundreds digit the same.
  4. Change the digits to the right of the hundreds place to zero. Since we are rounding to the nearest hundred, all digits to the right of the hundreds place become zeros. So, the tens digit (2) and the ones digit (7) become zeros.
  5. Write the final rounded number. The thousands digit (4) and the hundreds digit (8) stay the same. The tens and ones digits become 0. So, the number is 4,800. ANSWER: 4,800

2 Round 3,847 to the nearest hundred.

Hint: Look at the digit to the right of the hundreds place to decide whether to round up or keep the same.

Show the answer

Answer: 3,800

  1. Identify the hundreds place and the digit to its right. - The number is 3,847. - The hundreds place is the 8 (since 8 represents 800 in 3,847). - The digit immediately to the right of the hundreds place (the tens place) is 4.
  2. Apply the rounding rule. - The rule for rounding says: Look at the digit to the right of the place you are rounding to. - If that digit is 4 or less, the digit in the rounding place (the hundreds place) stays the same, and all digits to the right become zeros. - If that digit is 5 or more, the digit in the rounding place increases by 1, and all digits to the right become zeros.
  3. Use the rule on our number. - The digit to the right of the hundreds place is 4. - Since 4 is less than 5, the hundreds digit (8) remains the same. - All digits to the right (the tens and units digits) become zeros.
  4. Write the final rounded number. - The hundreds digit remains 8, and the tens and units become 0, so we get 3,800. Therefore, 3,847 rounded to the nearest hundred is 3,800.

To round 3,847 to the nearest hundred, follow these steps:

3 Round 3,478 to the nearest hundred.

Hint: Look at the digit in the tens place to decide whether to round up or keep the hundreds digit the same.

Show the answer

Answer: 3,500

Step-by-step solution: 1. Identify the hundreds place: In the number 3,478, the hundreds place is the 4. So we are looking at 3,478. 2. Look at the digit immediately to the right of the hundreds place (the tens place): The tens digit is 7. 3. Apply the rounding rule: If the tens digit is 5 or greater (5, 6, 7, 8, or 9), we round the hundreds place up by 1. If the tens digit is 4 or less (0, 1, 2, 3, 4), we keep the hundreds place the same. Here, the tens digit is 7, which is 5 or greater, so we round up. 4. Round up the hundreds place: The hundreds digit is 4. Rounding up means 4 becomes 5. All digits to the right of the hundreds place become zeros. 5. Write the rounded number: The thousands digit (3) stays the same. The hundreds digit becomes 5. The tens and units digits become 0. So we get 3,500. Final answer: 3,500

4 Round 3,487 to the nearest hundred.

Hint: Look at the digit in the tens place to decide whether to round up or keep the hundreds digit the same.

Show the answer

Answer: 3,500

  1. Identify the hundreds place. In 3,487, the hundreds digit is 4. So we are looking at 3,487 = 3 thousands, 4 hundreds, 8 tens, 7 ones.
  2. Look at the digit immediately to the right of the hundreds place (the tens place). The tens digit is 8.
  3. Apply the rounding rule: - If the tens digit is 5 or greater (5, 6, 7, 8, 9), we round the hundreds place up by 1. - If the tens digit is 4 or less (0, 1, 2, 3, 4), we keep the hundreds digit the same. Here, the tens digit is 8, which is 5 or greater, so we round the hundreds place up from 4 to 5.
  4. Change the digits to the right of the hundreds place to zeros. So 3,487 rounded to the nearest hundred becomes 3,500. Final Answer: 3,500

Let's round 3,487 to the nearest hundred.

5 Round 5,629 to the nearest hundred.

Hint: Look at the tens digit to decide whether to round up or down.

Show the answer

Answer: 5,600

  1. Identify the hundreds place in 5,629. The hundreds digit is 6, so we're looking at 5,600 or 5,700.
  2. Look at the tens digit, which is 2.
  3. Since the tens digit is less than 5, we round down.
  4. Keep the hundreds digit the same and change the tens and ones digits to zero.
  5. 5,629 rounded to the nearest hundred is 5,600.

6 Round 6,429 to the nearest hundred.

Hint: Look at the tens digit to decide whether to round up or keep the hundreds digit the same.

Show the answer

Answer: 6,400

  1. Identify the hundreds digit in 6,429. The hundreds digit is 4, so we are looking at 6,400 or 6,500.
  2. Look at the tens digit to decide whether to round up or down. The tens digit is 2.
  3. Since the tens digit is 2, which is less than 5, we round down.
  4. Rounding down means the hundreds digit stays the same, and all digits to the right become zero.
  5. Therefore, 6,429 rounded to the nearest hundred is 6,400.
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