Comparability of 4-digit Numbers | Prepare 4-digit Numbers

What are the foundations for the comparability of four-digit
numbers?

We have now already learnt {that a} two-digit quantity is all the time
higher than a single digit quantity. However, in case of comparability of four-digit
numbers, we should contemplate the next information:

(i) The quantity
having extra digits is bigger i.e., a four-digit quantity is all the time higher than
a three-digit quantity, two-digit quantity or one-digit quantity individually. As:

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

3275 > 375 ,
5823 > 823 , 4378 > 937 , and so forth.

(ii) In case of two four-digit numbers, the digits on the acute left, i.e., Thousand-place digit or 4^th digit from the appropriate are in contrast.

(a) The quantity having the higher excessive left digit, is the
higher quantity.

5738 > 3561 , 9721
> 8925 , 2193 > 1293 as 5 >
3, 9 > 8, and so forth.

(b) If the digits on the acute left are equal, then the
guidelines to check three-digit numbers are adopted, as:

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

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

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

Normally we are able to
type the next guidelines to check two or extra numbers:

(a) If two numbers have equal variety of digits, the quantity
having higher valued digit on the acute left is bigger.

(b) If the digits on excessive left of the numbers are equal
then the digits to the appropriate of the acute left digits are in contrast and so forth.

Evaluating and Arranging Numbers:

● Numbers are in contrast from the left to proper.

● If the digits are equal on the place than evaluate on the appropriate digit on the subsequent place.

Learn how to prepare 4-digit numbers in ascending and descending order:

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

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

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

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

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

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

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

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

Thus, any five-digit quantity is all the time higher than a four-digit quantity and so forth…

Questions and solutions on Evaluating and Arranging Numbers:

I. Circle the smallest and Tick ( ) the biggest within the given
units:

(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

Reply:

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

Reply:

II. (i) >

(ii) <

(iii) =

(iv) >

(v) >

(vi) >

(vii) =

(viii) <

(ix) >

(x) <

(xi) >

(xii) <

(xiii) =

(xiv) >

(xv) >

III. Write the smallest quantity in every 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

Reply:

III. (i) 1203

(ii) 3200

(iii) 3261

(iv) 3261

(v) 1834

IV. Write the most important quantity in every 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

Reply:

IV. (i) 8207

(ii) 9871

(iii) 6025

(iv) 9602

(v) 5810

V. Write the descending order (from the most important 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

Reply:

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
greatest):

(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

Reply:

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

third Grade Math Classes

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