Comparison of Four-digit Numbers | Rules, Video, Examples & Worksheets

What Are 4 Digit Numbers?

A 4 digit number ranges from 1000 to 9999.

Each digit has a place value:

• Thousands
• Hundreds
• Tens
• Ones

What are the rules for the comparison of four-digit numbers?

We have already learnt that a two-digit number is always
greater than a single digit number. But, in case of comparison of four-digit
numbers, we must consider the following facts:

Rule I: The number
having more digits is greater i.e., a four-digit number is always greater than
a three-digit number, two-digit number or one-digit number separately. As:

1000 > 999 , 1000
> 798 , 1000 > 191 ,

3275 > 375 ,
5823 > 823 , 4378 > 937 , etc.

(ii) In case of two four-digit numbers, the digits on the extreme left, i.e., Thousand-place digit or 4^th digit from the right are compared.

(a) The number having the greater extreme left digit, is the greater number.

5738 > 3561 , 9721 > 8925 , 2193 > 1293 as 5 > 3, 9 > 8, etc.

(b) If the digits on the extreme left are equal, then the rules to compare three-digit numbers are followed, as:

(i) 5738 > 5698 , 9794 > 9695 , 1548 > 1499

(ii) 5738 > 5729 , 9794 > 9784 , 1548 > 1529

(iii) 1968 > 1965 , 9798 > 9796 , 1548 > 1532

Comparing 4-Digit Numbers Video

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General Rules for Comparing 4 Digit Numbers:

In general we can
form the following rules to compare two or more numbers:

(a) If two numbers have equal number of digits, the number
having greater valued digit on the extreme left is greater.

(b) If the digits on extreme left of the numbers are equal
then the digits to the right of the extreme left digits are compared and so on.

Comparing 4-Digit Numbers Using Symbols:

Use these symbols:

• > → Greater than
• < → Less than
• = → Equal to

Example:

• 7645 > 5623
• 4321 < 4500
• 7604 = 7604

Step-by-Step Method to Compare 4-Digit Numbers:

I: Comparing numbers having different numbers of digits:

Rule: A number containing more number of digits is greater than the number having lesser number of digits.

For Example:

1. Which is greater, 2745 or 987?

Solution:

Observe that 987 is a 3-digit number while 2745 is a 4-digit number.

Hence 2745 > 987

II: Comparing numbers having the same number of digits:

Rule: If the two numbers have the same number of digits, first compare the digits on the extreme left place. It they are equal, then compare the digits just following on the right. If they are also equal, compare the digits just next on the right and so on.

For Example:

1. Which is the greater 6498 or 6438?

Solution:

Arranging the digits of the given numbers in the place value chart, we have:

The digits at the thousands place in both the numbers on the same (6 = 6). The digits at the hundreds place in both the numbers are also the same (4 = 4). The digit in the tens place in the number 6498 is greater than the digit in the tens place in the number 6438. So, 6498 is greater than 6438.

● Numbers are compared from the left to right.

● If the digits are equal at the place than compare on the right digit at the next place.

How to arrange 4-digit numbers in ascending and descending order:

(i) Arranging the numbers 2137, 1815, 3279, 4716, 3373 in ascending order:

The numbers are arranged in ascending order 1815, 2137, 3279, 3373, 4716.

(ii) Arranging the numbers 5204, 3418, 7432, 5855, 2195 in descending order:

The numbers are arranged in descending order 7432, 5855, 5204, 3418, 2195.

(iii) Arranging the numbers 6001, 3145, 1111, 2157, 4679 in ascending order:

The numbers are arranged in ascending order 1111, 2157, 3145, 4679, 6001.

(iv) Arranging the numbers 3004, 3098, 3382, 3531, 3461 in descending order:

The numbers are arranged in descending order 3531, 3461, 3382, 3098, 3004.

Thus, any five-digit number is always greater than a four-digit number and so on…

Comparison of 4-Digit Numbers Game:

Comparison of Four-digit Numbers Worksheet:

Questions and answers on Comparing and Arranging Numbers:

I. Circle the smallest and Tick (✅) the largest in the given
sets:

(i) 7920   8209   6305  
5706   4321

(ii) 5248   2990   3841  
4801   6549

(iii) 3832   5042   8700  
9354   4672

(iv) 1832   2832   3845  
2700   6840

(v) 7548   4241   3975  
9410   6942   

(vi) 4421   3785   9441  
8961   7265

(vii) 3934   7620   8344  
5287   9762

(viii) 9843  
2489   6765   4329  
3349

(ix) 2728   5964   4378  
8957   7862

(x) 9397   3583   7621  
2582   8955

Answer:

I. (i) Smallest – 4321; Largest – 8209

(ii) Smallest – 2990; Largest – 6549

(iii) Smallest – 3832; Largest – 9354

(iv) Smallest – 1832; Largest – 6840

(v) Smallest – 3975; Largest – 9410

(vi) Smallest – 3785; Largest – 9441

(vii) Smallest – 3934; Largest – 9762

(viii) Smallest – 2489; Largest – 9843 

(ix) Smallest – 2728; Largest – 8957

(x) Smallest – 2582; Largest – 9397

II. Write >, < or = :

(i) 2536 ……….. 2160

(ii) 7328 ……….. 7934

(iii) 4653 ……….. 4653

(iv) 6000 ……….. 5999

(v) 3924 ……….. 3910

(vi) 9320 ……….. 9245

(vii) 8888 ……….. 8888

(viii) 7542 ……….. 7642

(ix) 6789 ……….. 6542

(x) 8089 ……….. 8320

(xi) 4638 ……….. 3250

(xii) 5644 ……….. 5646

(xiii) 4878 ……….. 4878

(xiv) 5555 ……….. 5554

(xv) 7824 ……….. 3219

Answer:

II. (i) >

(ii) <

(iii) =

(iv) >

(v) >

(vi) >

(vii) =

(viii) <

(ix) >

(x) <

(xi) >

(xii) <

(xiii) =

(xiv) >

(xv) >

III. Write the smallest number in each set:

(i) 4291   3161   5026  
1203   1689  

(ii) 3167   7052   3200  
4623   4320

(iii) 4290   3261   9875  
9891   3483

(iv) 3261   4883   4290  
5875   6891

(v) 5290   3126   4891  
1834   7999

Answer:

III. (i) 1203

(ii) 3200

(iii) 3261

(iv) 3261

(v) 1834

IV. Write the biggest number in each set:

(i) 3120   4619   8207  
5213   4679 

(ii) 6257   3217   3271  
9871   3527

(iii) 1326   2578   4729  
5017   6025

(iv) 8054   3200   4700  
9602   8309

(v) 1001   2007   3005  
3850   5810

Answer:

IV. (i) 8207

(ii) 9871

(iii) 6025

(iv) 9602

(v) 5810

V. Write the descending order (from the biggest to the
smallest):

(i) 1100    8800      2146     4239     1348     3746

(ii) 2644    3179     5341     8072     1528     7947

(iii) 2937   
8456     5119    6098     4050      3433

(iv) 8532    4729     7811   
3502     5238      3333

(v) 6584     6548      6458   
6845     6485     6854

Answer:

V. (i) 8800, 4239, 3746, 2146, 1348, 1100    

(ii) 8072, 7947, 5341, 3179, 2644, 1528

(iii) 8456, 6098, 5119, 4050, 3433, 2937

(iv) 8532, 7811, 5238, 4729, 3502, 3333

(v) 6854, 6845, 6584, 6548, 6485, 6458

VI. Write the ascending order (from the smallest to the
biggest):

(i) 3294    3924     3492    
3942     3429     3249

(ii) 2842    
1395     8075     6207    
5384     3946

(iii) 1378    
1597     2845     7309    
9098    7301

(iv) 3764    
2245     2834     8843    
4878     2349

(v) 4123     1532     4332    
5023     3842     5382

Answer:

VI. (i) 3249, 3294, 3429, 3492, 3924, 3942

(ii) 1395, 2842, 3946, 5384, 6207, 8075

(iii) 1378, 1597, 2845   7301, 7309, 9098    

(iv) 2245, 2349, 2834, 3764, 4878, 8843

(v) 1532, 3842, 4123, 4332, 5023, 5382

Comparing four digit numbers becomes easy when you follow place value rules and compare digits step-by-step. Practice regularly to master this concept.

3rd Grade Math Lessons

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