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Comparing multi-digit numbers

Method: Compare place value from the left

To compare two whole numbers, first count the digits: more digits means a larger number, so 100 beats 89. When two numbers have the same number of digits, compare from the left — the biggest place value decides. 61 beats 58 because 6 tens beats 5 tens; the ones digit only matters if the tens are equal. A big first digit alone, a big last digit, or a big digit total do not make a number larger.

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

compare
decide which number is larger or smaller
leading digit
the left-most digit of a number

Worked examples

89 or 100?

  1. 1.100 has three digits, 89 has two.
  2. 2.More digits wins.

= 100

61 or 58?

  1. 1.Both have two digits; compare tens.
  2. 2.6 tens beats 5 tens.

= 61

199 or 1000?

  1. 1.1000 has four digits, 199 has three.
  2. 2.More digits wins.

= 1000

For parents

Method: Line the numbers up by place value, right-aligned.

What to say: Ask 'which has more digits?' then compare from the left column.

Common mistakes:

  • Judging by the leading digit (89 over 100).
  • Judging by the ones digit (58 over 61).
  • Judging by the digit total (199 over 1000).