Condition 1: Numbers having different number of digits
- The numbers having less number of digits are always smaller than the numbers having more number of digits
Example:
54,000 < 1,58,000
2,78,900 > 56,000
Condition 2: Numbers having same number of digits
- If both the numbers have the same numbers of digits, then we comparing the digits from the extreme left to find the first place where they differ.
Example 1:
Compare 42567 and 55567
First compare the digits in ten thousands place.Here digits differ, 4 and 5 are in ten thousands place
5 > 4.
Hence 42567 < 55567
Example 2:
Compare 14467 and 15567
Both numbers have the same digit in ten thousands place. Hence we compare the digits in thousands place.4 and 5 are in thousands place
5 > 4.
Hence 14467 < 15567
Example 3:Numbers have same digit in ten thousands, thousands and hundreds place. Hence we compare the digits in tens place.
6 and 5 are in the tens place
6 > 5.
Hence 14467 > 14457
Example 4:
Compare 14457 and 14452
Numbers have same digit in ten thousands, thousands, hundreds and tens place. Hence we compare the digits in ones place.
7 and 2 are in the ones place
7 > 2.
Hence 14457 >14452.
Example 5:
Compare 14567 and 14567
Both numbers have the same digits in all the places. Hence, both numbers are equal.
Ordering of numbers
Ascending Orders / Increasing Orders
- Arranging the numbers from smallest to the greatest is known as increasing order or ascending order.
Descending Orders / Decreasing Orders
- Arranging the numbers from greatest to the smallest is known as decreasing order or descending order.
Example 1:
Arrange the following numbers in the ascending and descending orders.
61478, 50478, 65790, 94090
Ascending Orders
Writing from the smallest number to the greatest number
50478 < 61478 < 65790 < 94090
Descending Orders
Writing from greatest number to the smallest number
94090 > 65790 > 61478 > 50478
Practice Sums
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Q1. Rewrite in ascending order: |
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a. 4,854 ; 3,678; 13,000; 13007; 1,40,000 _________________________________________________ |
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b. 20,111; 2,00,100; 22,100; 22,101; 22,001 __________________________________________________ |
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c. 555; 6,666; 9; 33; 77,777; 9,00,000 __________________________________________________ |
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Q2. Rewrite in descending order: |
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a. 1,34,516; 3,24,651; 2,55,113; 3,44,565; 3,24,165 _______________________________________________ |
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b. 20,570; 78,220; 50,900; 61,635; 43,850 _______________________________________________ |
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c. 9,88,760; 9,99,000; 8,88,221; 9,79,670; 9,88,000 _______________________________________________ |
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Q3. Put <, > or = |
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a) 45,227 _________ 35,800 b) 67,397 _________ 48,999 c) 1,00,001 _________ 1,40,000 d) 9,80,702 _________ 9,80,710 e) 1,62,880 _________ 55,777 f) 7,45,470 _________ 7,46,470 g) 60,000 _________ 60,000 |