What are the rules for the comparison of threedigit 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 (Hundredplace digit) of a number is greater than the third digit from the right (Hundredplace 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 twodigit numbers are considered.
958 > 949 , 876 > 867 , 564 > 559
If digits at Hundredplace and ten’s place are equal, the rules to compare single digit numbers are considered.
958 > 956 , 876 > 875 , 634 > 630
How to arrange 3digit 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 fourdigit number is always greater than a threedigit number.
1000 > 999 , 2000 > 700 , 3150 > 550 , etc.
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