Chapter 1

Comparing Numbers

Learn how to compare numbers up to 10 000 and decide which is bigger or smaller.

Comparing two numbers

To compare numbers, first count the digits. A number with more digits is bigger. If they have the same number of digits, compare from the left, place by place, until the digits are different.

Key idea

Start at the biggest place (thousands). The number with the bigger digit there is greater. If the digits are the same, move to the next place.

Worked example

Compare 3 476 and 3 500. The thousands are the same (3 = 3). Hundreds: 4 < 5, so 3 476 is smaller. We write 3 476 < 3 500.

Signs we use

We use > for "greater than", < for "less than" and = for "equal to". So 2 300 > 2 030 because 3 hundreds is more than 0 hundreds.

Remember

  • More digits usually means a bigger number.
  • Always compare from the left.
  • The open side of > or < faces the bigger number.

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