What are the rules for the comparison of fourdigit numbers?
We have already learnt that a twodigit number is always greater than a single digit number. But, in case of comparison of fourdigit numbers, we must consider the following facts:
(i) The number having more digits is greater i.e., a fourdigit number is always greater than a threedigit number, twodigit number or onedigit number separately. As:
1000 > 999 , 1000 > 798 , 1000 > 191 ,
3275 > 375 ,
5823 > 823 , 4378 > 937 , etc.
(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 threedigit 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
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.
How to arrange 4digit 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 fivedigit
number is always greater than a fourdigit number and so on...
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