Skill: Round numbers to the nearest 100

Explanation and Free Practice Resources

The learner understands that a whole number is approximated by the nearest multiple of 100, using its place-value structure and position on a number line. For three-digit numbers through 1,000, numbers with fewer than 50 beyond a hundred are rounded down, while numbers 50 or more beyond it are rounded up, including halfway cases; this foundation supports estimation and later work with larger numbers, but not decimals, negative numbers, or general error bounds.

Detailed Explanation: Round numbers to the nearest 100

To round a whole number to the nearest 100100, find the two multiples of 100100 that the number lies between. Then decide which hundred is closer.

  • If the last two digits are from 0000 to 4949, round down.
  • If the last two digits are from 5050 to 9999, round up.

Example: Round 647647 to the nearest 100100

  1. Find the hundreds it is between:
    647647 lies between 600600 and 700700.

  2. Look at the last two digits:
    The last two digits are 4747.

  3. Compare 4747 with 5050:
    Since 4747 is less than 5050, 647647 is closer to 600600 than to 700700.

  4. Write the rounded number:

647≈600647 \approx 600

So, 647647 rounded to the nearest 100100 is 600600.

Learn by doing: Round numbers to the nearest 100

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Multiplication - Estimate Product to Simplified Equation - 3 by 3 digit


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