**What are the rules for the comparison of three-digit
numbers?**

**(i)** The numbers having less than three digits are always smaller than the numbers having three digits as:

100 > 99 , 100 > 9 or 9 < 100 , 99 < 100

125 > 75 , 327 > 59 , 107 > 8 , etc.

**(ii)** If both the numbers have the same numbers (three) of digits, then the digits on the extreme left are compared.

(a) If the third digit from the right (Hundred-place digit) of a number is greater than the third digit from the right (Hundred-place digit) of the other number then the number having the greater third digit from the right, is the greater one.

Thus, the number having the greater digit to its extreme left, is the greater one,

**as:**

913 > 899 , 749 > 698 , 576 > 425

(b) If the numbers have the same third digits from the
right, then the digits at ten’s place are compared and rules to compare
two-digit numbers are considered.

958 > 949 , 876 > 867 , 564 > 559

If digits at Hundred-place and ten’s place are equal, the rules to compare single digit numbers are considered.

958 > 956 , 876 > 875 , 634 > 630

**How to arrange 3-digit numbers** **in ascending
and descending order:**

**(i)** Arranging the numbers 237, 185, 271, 146, 329 in
ascending order:

The numbers are arranged in ascending order** **146, 185, 237, 271, 329.

**(ii)** Arranging the numbers 204, 318, 432, 155, 296 in descending
order:

The numbers are arranged in descending order** **432, 318, 296, 204, 155.

**(iii)** Arranging the numbers 471, 295, 311, 163, 239 in
ascending order:

The numbers are arranged in ascending order** **163, 239, 295, 311, 471.

**(iv)** Arranging the numbers 374, 198, 282, 351, 461 in descending
order:

The numbers are arranged in descending order** **461, 374, 351, 282, 198.

**Thus, any four-digit
number is always greater than a three-digit number.**

1000 > 999 , 2000 > 700 , 3150 > 550 , etc.

● Numbers are compared from left to right.

● If the digits are equal at a place then compare the right digit at the next place.

**I. Write the correct sign (>, < or =)**

(i) 807 ............ 721

(ii) 87 ............ 40

(iii) 597 ............ 848

(iv) 927 ............ 498

(v) 759 ............ 216

(vi) 357 ............ 589

(vii) 444 ............ 444

(viii) 888 ............ 777

(ix) 256 ............ 572

(x) 201 ............ 602

(xi) 346 ............ 346

(xii) 652 ............ 352

**II. Write in ascending order:**

(i) 50, 20, 10, 40, 70, 60

(ii) 24, 18, 78, 64, 83, 55

(iii) 782, 364, 598, 528, 610, 798

(iv) 368, 316, 552, 225, 749, 493

(v) 537, 400, 163, 662, 225, 897

**III. Write in descending order:**

(i) 221, 631, 170, 492, 538, 113

(ii) 442, 113, 262, 552, 749, 821

(iii) 105, 90, 172, 450, 552, 339

(iv) 90, 420, 117, 768, 688, 180

(v) 172, 450, 680, 351, 536, 223

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