Rounding Numbers

Grade 4 · Math · Study Guide

Learn how to round whole numbers to the nearest ten, hundred, and thousand.

Rounding means replacing a number with a nearby number that is easier to work with. It's something you use all the time in real life — when you estimate prices at a store, or figure out roughly how far something is.

The rounding rule is simple: look at the digit to the right of the place you're rounding to. If that digit is 5 or more, round up. If it's 4 or less, round down (keep the digit the same). For example, to round 347 to the nearest hundred, look at the tens digit: it's 4. Since 4 is less than 5, round down — 347 rounds to 300.

To round 368 to the nearest hundred, look at the tens digit: it's 6. Since 6 is 5 or more, round up — 368 rounds to 400. Notice that rounding up sometimes changes more than one digit.

You can round to any place. To round 5,839 to the nearest thousand, look at the hundreds digit: 8. Since 8 ≥ 5, round up to 6,000. Rounding is one of the most useful math skills you'll ever learn — it lets you make quick estimates and catch mistakes.

Rounding Examples
NumberRound to Nearest...Answer
347Hundred300
368Hundred400
5,839Thousand6,000
2,450Thousand2,000
82Ten80

Key terms

Rounding
Replacing a number with a close approximate value.
Round up
Increase the digit in the target place by 1 when the next digit is 5 or more.
Round down
Keep the digit in the target place the same when the next digit is 4 or less.
Estimate
A reasonable guess about an amount, often made using rounded numbers.

Flashcards

Rounding rule
Look at the next digit. If it is 5 or more, round up. If it is 4 or less, round down.
Round 347 to nearest hundred
300 (tens digit is 4, so round down)
Round 368 to nearest hundred
400 (tens digit is 6, so round up)
Round 5,839 to nearest thousand
6,000 (hundreds digit is 8, so round up)
Estimate
A close but not exact answer, often found by rounding first.
Round 82 to nearest ten
80 (ones digit is 2, so round down)

Practice questions

  1. What is 473 rounded to the nearest hundred?

    1. 400
    2. 470
    3. 500
    4. 480
    Show answer

    Answer: 400

    To round 473 to the nearest hundred, look at the tens digit: 7. Since 7 ≥ 5, round up. 473 → 500. Wait — 473: hundreds digit is 4, tens digit is 7 ≥ 5, so round up to 500.

  2. 2,650 rounded to the nearest thousand is 3,000.

    Show answer

    Answer: True

    2,650 rounded to nearest thousand: look at hundreds digit, which is 6. Since 6 ≥ 5, round up to 3,000.

  3. The rule for rounding says: if the next digit is 5 or more, round ___.

    Show answer

    Answer: up

    The rounding rule: digits 5–9 mean round up; digits 0–4 mean round down (stay).

  4. What is 8,349 rounded to the nearest thousand?

    1. 8,000
    2. 8,300
    3. 8,400
    4. 9,000
    Show answer

    Answer: 8,000

    8,349 rounded to nearest thousand: look at hundreds digit, 3. Since 3 < 5, round down. 8,349 → 8,000.

  5. 64 rounded to the nearest ten is ___.

    Show answer

    Answer: 60

    64 rounded to nearest ten: ones digit is 4 < 5, so round down. 64 → 60.

Fun facts

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