**How to compare two numbers?**

Here are some examples for comparison of numbers. Let us follow the rules to compare two numbers while solving the following questions.

**1. Which is greater and which is smaller:**

(a) 345 or 94

**Solution:**

345 or 94

The number with more digits is greater than the number with lesser digits. The number 345 has 3 digits. The number 94 has 2 digits.

**Hence, 345 > 94 or 94 < 345**

(b) 3271 or 648

**Solution:**

3271 or 648 The number with more digits is greater than the number with lesser digits. The number 3271 has 4 digits. The number 648 has 3 digits.

**Hence, 3271 > 648
or 648 < 3271**
**2. **

This Video will demonstrate us the comparison between two numbers.

**2. Compare two numbers:**

(a) 4579 and 8271

**Solution:**

4579 and 8271 If two numbers have equal number of digits then the digits to the extreme left are compared. The one having the greater extreme left digit will be greater.

4579 and 8271 both have 4 digits.

But 8, the extreme left digit of 8271, is greater than 4, the extreme left digit of 4579. As 8 > 4

**So, 8271 > 4579 or
4579 < 8271**

(b) 973 and 879

**Solution:**

973 and 879

If two numbers have equal number of digits then the digits to the extreme left are compared. The one having the greater extreme left digit will be greater.

The digit 9 is greater than 8.

**Hence, 973 > 879
or 879 < 973**

**3.** **Which is greater or smaller?**

(a) 7934 or 7821

**Solution:**

7934 or 7821

If two numbers have equal number of digits and the first digit on the extreme left are equal, then their second digit from the extreme left are compared. The number having the greater second left digit is greater and so on.

7934 and 7821 both have first left digit equal, but second left digit 9 greater (>) than the other second left digit 8.

**Hence, 7934 > 7821
or 7821 < 7934**

(b) 5418 or 5462

**Solution:**

5418 or 5462

If two numbers have equal number of digits and the first digit on the extreme left are equal, then their second digit from the extreme left are compared. The number having the greater second left digit is greater and so on.

In 5418 and 5462, the first left digit 5 and second left digit 4 are equal. But in the ten’s place, 1 < 8

**Hence, 5418 < 5462
or 5462 > 5418**

The above worked-out problems on compare two numbers will help us to understand the rules for the comparison between two numbers .

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