**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.

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