# Comparison of Two-digit Numbers

What are the rules for the comparison of two-digit numbers?

We know that a two-digit number is always greater than a single digit number. But, when both the numbers are two-digit numbers, then we must consider the following facts:

(i) The number having greater valued digit at ten’s place is greater as:

79 > 69 , 78 > 65 , 53 > 49 , etc.

(ii) If the digits at ten’s place of both the numbers are equal, then the digits at one’s place of both the numbers are considered. The number having the greater digit at one’s place is greater than the other.

As:

59 > 56 , 47 > 43 , 38 > 31 , etc.

How to arrange 2-digit numbers in ascending and descending order:

(i) Arranging the numbers 37, 15, 71, 46, 29 in ascending order:

The numbers are arranged in ascending order 15, 29, 37, 46, 71.

(ii) Arranging the numbers 24, 18, 32, 55, 96 in descending order:

The numbers are arranged in descending order 96, 55, 32, 24, 18.

(iii) Arranging the numbers 47, 25, 11, 63, 39 in ascending order: The numbers are arranged in ascending order 11, 25, 39, 47, 63.

(iv) Arranging the numbers 74, 98, 22, 51, 61 in descending order:

The numbers are arranged in descending order 98, 74, 61, 51, 22.

Thus, any three-digit number is always greater than a two-digit number.

100 > 99 , 130 > 70 , 150 > 50 , etc.