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Comparing with <, > and =

Method: Work out each side, then compare

The sign < means 'is less than', > means 'is greater than' and = means 'is equal to'. The open end of < and > always faces the bigger number. Work out the value of each side, then choose the sign. Sometimes you can compare without calculating: if both sides start with the same number, only compare what changes, and remember that taking away more leaves less.

Explore this idea with maths tools

Maths you can move

Build 8 + 5

Tap two gold counters to fill the ten-frame.

8 in the frame + 5 waiting. The total stays the same.

Words to know

less than (<)
smaller in value
greater than (>)
bigger in value
equal (=)
the same value

Worked examples

Choose <, > or = to make this true: 7 + 5 ○ 11

  1. 1.7 + 5 = 12.
  2. 2.12 is greater than 11.

= >

Choose <, > or = to make this true: 6 × 4 ○ 5 × 5

  1. 1.6 × 4 = 24 and 5 × 5 = 25.
  2. 2.24 is less than 25.

= <

Without working out the answers, choose <, > or = to make this true: 72 − 19 ○ 72 − 21

  1. 1.Both sides start with 72.
  2. 2.Taking away 21 leaves less than taking away 19, so the left side is greater.

= >

For parents

Method: Work out each side, then compare

What to say: What is each side worth? Which way does the sign open?

Common mistakes:

  • Knows which side is bigger but writes the sign the wrong way round.
  • Compares only the first number on each side and ignores the rest of the calculation.
  • Compares the numbers that changed without thinking about the operation (thinks taking away more leaves more).
  • Judges a statement true only when both sides are equal, whatever sign is used.