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Different Number of Digits

The number with more digits is always greater.

Example 1. Compare 6412 and 986.

Solution. Th H T O Keep in Mind

6 4 1 2 4 digits > means greater than
< means less than
9 8 6 3 digits
= means equal to

So, 6412 > 986. Greater number > Smaller number

Same Number of Digits Smaller number < Greater number

Compare the thousands digits first.

The number with the greater digit in the thousands place is greater.

Example 2. Compare:

a. 5113 and 4625 b. 3032 and 4985

Solution. a. Th H T O b. Th H T O
5 1 1 3 3 0 3 2

4 6 2 5 4 9 8 5

5000 > 4000 3000 < 4000

So, 5113 > 4625. So, 3032 < 4985.
If the thousands digits are the same, then compare the hundreds digits.

The number with the greater digit in the hundreds place is greater.

Example 3. Compare:
a. 4829 and 4635 b. 7359 and 7428

Solution. a. Th H T O b. Th H T O

4 8 2 9 7 3 5 9

4 6 3 5 7 4 2 8

Same 800 > 600 Same 300 < 400
So, 4829 > 4635. So, 7359 < 7428.

If the thousands digits and hundreds digits are the same, then compare the tens
digits. The number with the greater digit in the tens place is greater.

20 Mathematics 3