Comparing and Ordering of Numbers
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
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.
First compare the digits in ten thousands place.
Here digits differ, 4 and 5 are in ten thousands
place and 5 > 4. Hence 42567 < 55567
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 and 5 > 4.
Hence 14467 < 15567
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 and 6 > 5. Hence
14467 > 14457
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 and 7 > 2. Hence
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: Arrange the following numbers in the ascending
and descending orders.
61478, 50478, 65790, 94090
Writing from the smallest number to the greatest
50478 < 61478 < 65790 < 94090
Writing from greatest number to the smallest
94090 > 65790 > 61478 > 50478