IMOClass 2 › Numbers up to 1000

Numbers up to 1000

Place Value (Hundreds, Tens, Ones)

A 3-digit number is made of hundreds, tens and ones. In 345, the 3 means 3 hundreds (300), the 4 means 4 tens (40) and the 5 means 5 ones (5). So 345 = 300 + 40 + 5.

The place of a digit tells its value. In 528, the digit 5 is in the hundreds place and stands for 500.

Example 1: What is the place value of 7 in 472?
7 is in the tens place, so its value is 70.
Example 2: Write 600 + 30 + 8 as a number.
638.
Quick recap
  • A 3-digit number = hundreds + tens + ones.
  • The place of a digit gives its value (e.g. 5 in 528 = 500).
✓ Quick check
What is the place value of 9 in 902?
9 is in the hundreds place, so its value is 900.
Which number is 400 + 50 + 6?
400 + 50 + 6 = 456.

Comparing and Ordering Numbers

To compare 3-digit numbers, first compare the hundreds. If they are equal, compare the tens, then the ones. We write > for greater than and < for less than.

To order numbers, put them smallest to largest (ascending) or largest to smallest (descending).

Example 1: Which is greater, 328 or 319?
Hundreds are equal (3); tens 2 > 1, so 328 > 319.
Example 2: Arrange smallest first: 215, 109, 230.
109, 215, 230.
Quick recap
  • Compare hundreds first, then tens, then ones.
  • > means greater than; < means less than.
✓ Quick check
Which sign is correct: 463 ___ 472 ?
Hundreds equal; tens 6 < 7, so 463 < 472.
Which is the largest number?
750 has 7 hundreds and 5 tens — the largest.

Even, Odd and Skip Counting

A number is even if it ends in 0, 2, 4, 6 or 8, and odd if it ends in 1, 3, 5, 7 or 9. Skip counting helps us count fast: by 2s, 5s, 10s and 100s. We also use just before, just after and between to place numbers.

Example 1: Is 34 even or odd?
It ends in 4, so it is even.
Example 2: Skip count by 100: 100, 200, 300, ___
400.
Quick recap
  • Even ends in 0/2/4/6/8; odd ends in 1/3/5/7/9.
  • Skip count by 2s, 5s, 10s, 100s to count faster.
✓ Quick check
Which number is even?
58 ends in 8, so it is even.
Skip count by 10: 250, 260, 270, ___ ?
Add 10: 270 + 10 = 280.
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