Worried about how to compare two numbers and looking everywhere for help? We have covered everything regarding comparing two numbers rules, definitions, solved examples, etc. Refer to the Procedure to be followed on how to compare two numbers. This Section will help you to decide on which number is greater and which number is smaller or either equal.

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## Rules for Comparison between Two Numbers | How to Compare Two Numbers?

Basic Rules for Comparison of numbers are listed in the below fashion. They are along the lines

- A number with more digits is always greater than a number with fewer digits. For Example: 567>67, 4530>435, 123>32, 25>5.
- When two numbers have the same number of digits, then we will compare the extreme left of two numbers until we come across unequal digits. For Example 450>425, 567>420, 876>871, 634<650
- By Rule 1 we know that the five-digit number is always greater than the four-digit number.
- A four-digit number is always greater than a three-digit number. Example: 3456>678, 5430>345,6781>760.
- A three-digit number is always greater than a two-digit number. Example: 123>66, 450>50, 265>88.
- A two-digit number is always greater than a one-digit number. Example: 88>5, 98>8, 77>4,35>9.

### Comparing Values of Two Numbers Examples

**Example 1.**

Compare the numbers 7889, 567

**Solution:**

7889 has four digits.

567 has three digits.

By rule1 7889 is greater than 567.

**Example 2.**

Compare the numbers 2345, 2140

**Solution:**

In 2345,2 is in the thousands place.

3 is in the hundreds place.

4 is in the tens place.

5 is in one place.

In 2140, 2 is in the thousands place.

1 is in the hundreds place.

4 is in the tens place.

0 is in one’s place.

Since 2345 and 2140 has the same number of digits compare to the extreme left of both the numbers until we come across unequal digits.

A thousand places of both numbers are equal. compare the hundredth place of both the numbers.

3>1

S0 2345 is greater than 2140.

**Example 3:**

Compare the numbers 345, 310

**Solution:**

In 345, 3 is in the hundreds place.

4 is in the tens place.

5 is in one place.

In 310,3 is in the hundreds place.

1 is in the tens place.

0 is in one place.

Both the numbers have the same number of digits and hundreds of both the numbers are the same. So compare tens place of both the numbers.4>1.

so 345>310.

**Example 4:**

Compare the numbers 7689, 3678

**Solution:**

In 7689, 7 is in the thousands place.

6 is in the hundreds place.

8 is in the tens place.

9 is in one place.

In 3678, 3 is in the thousands place.

6 is in the hundreds place.

7 is in the tens place.

8 is in one place.

Compare the thousands place of both the numbers i.e. 7>3.

so 7689 is greater than 3678.

**Example 5:**

Compare the numbers 55,345 and 50, 425

**Solution:**

Both the numbers are five-digit numbers. Both numbers of the extreme left are the same. So compare next digit from left i.e. thousands place.5>0

So 55,345 is greater than 50,425.

**Example 6:**

Compare the numbers 389,385

**Solution:**

Hundreds and tens place of both the numbers are same. Compare one’s place of the numbers.

9>5.

So 389>385.

### FAQs on Comparing Two Numbers

**1. How you will use place value or face value in comparison of numbers?**

WhenÂ comparing numbers, first start with the greatestÂ place value. ThenÂ compareÂ theÂ digitsÂ in the greatestÂ place valueÂ position. If theseÂ digitsÂ are the same, continue to the next smallerÂ placeÂ until theÂ digitsÂ are different.

**2. How do we compare two numbers if they are having different numbers of digits?**

The number which has a greater number of digits is greatest.

**3. What are the comparison operators?**

Comparison operators are greater than( >) and less than(<).

**4. How do we compare if the numbers have the same number of digits?**

If the numbers have the same number of digits then compare the digits from the extreme left of the numbers until you come across unequal digits.