**How do I compare two numbers?**

Here are some examples of how numbers can be compared. Let’s follow the rules to compare two numbers and solve the following questions.

When comparing two numbers, you need to find out which number is smaller and which is larger. It is represented by the symbol (>) or (<).

When you compare two numbers and they are the same, the numbers are the same and are symbolized as (=).

Rules for comparing two numbers:

**1.** First, look at the digits on thousands. The number with more than thousands is a larger number.

**2.** If the digits in thousands are the same, the number with more hundreds is a larger number.

**3.** If the digits are equal in hundreds, the number with more tens is a larger number.

**4th** If the tens are equal, the number with more ones is a larger number.

**5.** If all digits are the same, the numbers are the same.

**1. What is bigger and what is smaller:**

(a) 345 or 94

**Solution:**

345 or 94

The number with more digits is larger than the number with fewer 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 larger than the number with fewer digits. The number 3271 has 4 digits. The number 648 has 3 digits.

**Hence 3271> 648 or 648 <3271**

**2. **

This video shows us the comparison between two numbers.

**2. Compare two numbers:**

(a) 4579 and 8271

**Solution:**

4579 and 8271 If two numbers have the same number of digits, the leftmost digits are compared. The one with the larger leftmost digit is larger.

4579 and 8271 both have 4 digits.

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

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

(b) 973 and 879

**Solution:**

973 and 879

If two numbers have the same number of digits, the leftmost digits are compared. The one with the larger leftmost digit is larger.

The number 9 is greater than 8.

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

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

(a) 7934 or 7821

**Solution:**

7934 or 7821

If two numbers have the same number of digits and the first leftmost digit is the same, their second leftmost digit is compared. The number with the larger second left digit is larger, and so on.

7934 and 7821 both have the first left digit the same, but the second left digit 9 is 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 the same number of digits and the first leftmost digit is the same, their second leftmost digit is compared. The number with the larger second left digit is larger, and so on.

In 5418 and 5462, the first left digit 5 and the second left digit 4 are the same. But at the point of ten, 1 <8

**Hence 5418 <5462 oder 5462> 5418**

**4th****Compare 8750 and 999**

Place the numbers one below the other. It will be easy to compare.

The table shown shows that 8750 is 4 digits and 999 is only 3 digits. Hence, 8750 is greater than 999.

Hence 8750> 999

**5.**** Compare 4092 and 2001**

Place the numbers one below the other. It will be easy to compare.

Here both numbers have four digits. Compare the digits in thousands.

Since 4> 2

Hence 4092> 2001

**6. Compare 7856 and 7290**

Place the numbers one below the other. It will be easy to compare.

Here both numbers have four digits and digits in a thousand places are also the same. Now compare the digits in the hundreds.

Since 8> 2

Hence 7856> 7290

**7th****Compare 7373 and 7302**

Place the numbers one below the other.

Here both numbers have four digits. Digits in thousands and hundreds of places are the same. Now compare the digits to the tens.

Since 7> 0

Hence 7373> d 7302

The problems in comparing two numbers discussed above help us understand the rules for comparing two numbers.

**3rd grade math lesson**

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