# Comparison of Numbers

In comparison of numbers we will learn to compare 4-digit numbers. The same rules are applied to compare numbers having more than 4 digits.

How to learn and understand comparison of numbers?

To learn and understand comparison of numbers the rules are generalized here:

Rule (1): The number/numeral having more digits is greater

(i) The number of 2 digits is greater than the number of one digit.

(ii) The number of 3 digits is greater than the number having 2 or 1 digit.

(iii) The number of 4 digits is greater than 3 or 2 or 1 digit number.

(iv) 5-digit number > 4-digit number > 3-digit number ………… etc.

(v) 6-digit number > 5-digit number > 4-digit number ………… etc.

As:

10 > 9, 100 > 99 > 9, 239 > 98, 1250 > 998, 23051 > 8735 351246 > 92835 > 5298 > 376 > 93.

Rule (2): (a) If two numbers have the same number of digits, we compare them on the basis of their extreme left digits. The number with the greater extreme left digit is greater.

As:

(i) 514 > 298, because 5 > 2

(ii) 6138 > 5978, because 6 > 5

(iii) 32516 > 19768, because 3 > 1

(iv) 451926 > 351658, because 4 > 3

(b) If the extreme left digits of two numbers are the same, we compare them on the basis of the next digits towards their right and so on.

As:

(i) 64283 > 63198, because 6 = 6, but 4 > 3

(ii) 24567 > 22381, because 2 = 2, but 4 > 2

(iii) 83,643 > 83,449, because 83 = 83, but 6 > 4

(iv) 367825 > 367543, because 367 = 367, but 8 > 5

These are the rules to teach comparison of numbers. Parents and teachers can also follow these rules to teach the students how to compare numbers.

Follow the below link to understand the examples on comparison of numbers.

A number having the greater number of digits is the greater number.

Examples of Comparison of Numbers

1. Compare:

(a) 8 and 12.

8 is a single digit number. 12 has two digits.

8 < 12

(b) 1342 and 342

The number of digits in 1342 is greater than the number of digits in 342.

1342 > 342

If two numbers have the same number of digits, then line up the digits according to place value. Compare the digits beginning with the greatest place.

2. Compare:

(a) 5869 and 4369 5 > 4

So, 5869 > 4369

(b) 74186 and 74586 7 = 7

4 = 4

1 < 5

So, 74586 > 74186

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