Ctrl+k

Round numbers to the nearest 100

Rounding a whole number to the nearest 100 means identifying the consecutive multiples of 100 between which it lies and choosing the closer one: numbers whose tens-and-ones portion is 00–49 round down, while 50–99 round up, including exact halfway cases. Place-value notation and a number line show why the result is a multiple of 100, with tens and ones becoming zero; carrying may increase the hundreds or higher place. This scope excludes decimals, negative numbers, and alternative rounding conventions.

Detailed Explanation: Round numbers to the nearest 100

To round a whole number to the nearest 100100:

  1. Find the two multiples of 100100 that the number lies between.
  2. Look at the tens and ones digits.
    • If they make 0000–4949, round down.
    • If they make 5050–9999, round up.
  3. Write zeros in the tens and ones places. If rounding up causes a carry, increase the hundreds place.

Example: Round 2,9502{,}950 to the nearest 100100.

  • The number lies between 2,9002{,}900 and 3,0003{,}000.
  • Its tens-and-ones portion is 5050.
  • Since 5050 means round up, choose 3,0003{,}000.

On a number line, 2,9502{,}950 is exactly halfway between 2,9002{,}900 and 3,0003{,}000, and halfway cases round up.

Therefore,

2,950≈3,0002{,}950 \approx 3{,}000

The tens and ones become zeros, and the 99 in the hundreds place carries to make 33 thousand.

Learn by doing: Round numbers to the nearest 100

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

    Practice with unlimited practice problems

    Rounding Whole Numbers - Hundreds to Nearest Hundred

      ?