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Step 3: If the corresponding digits at the same position have unequal value, then the number
having the bigger value is greater than the number having the smaller value.

Step 4: If the value of digits at the same position in two numbers is equal, then move to the
next digit from the left and continue repeating steps 3 and 4 till you arrive at a set of
unequal digits and hence are able to ascertain a greater or a smaller number.
Example 9: Which is greater?

67,83,45,810 or 67,79,89,783
Solution: First, arrange the given numbers in a place value chart as shown below.

Ten Crore Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Ten One
Number

67,83,45,810 6 7 8 3 4 5 8 1 0
67,79,89,783 6 7 7 9 8 9 7 8 3

Step 1: The number of digits in both the numbers are same, i.e., nine.
Step 2: At ten crore and crore place, the corresponding digits are of the same value.
Step 3: At the ten lakh place, the digits have different values, i.e., the first number has digit 8
while the second has digit 7.

Since 8 > 7, therefore, 67,83,45,810 > 67,79,89,783.
Example 10: Arrange the following numbers in ascending order:
13,45,678, 43,56,120, 2,35,67,890, 34,52,678 and 1,45,62,187.

Solution: First, arrange the given numbers in a place value chart as shown below.

Ten Crore Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Ten One
Number

13,45,678 1 3 4 5 6 7 8

43,56,120 4 3 5 6 1 2 0
2,35,67,890 2 3 5 6 7 8 9 0

34,52,678 3 4 5 2 6 7 8
1,45,62,187 1 4 5 6 2 1 8 7

Step 1: The numbers having minimum number of digits, i.e., seven are 13,45,678; 43,56,120
and 34,52,678. Now their extreme left digits can be arranged as 1 < 3 < 4. Therefore,
the three numbers in ascending order are 13,45,678 < 34,52,678 < 43,56,120.

Step 2: Now we have two numbers having 8 digits each, i.e., 2,35,67,890 and 1,45,62,187.
Their extreme left digits are unequal and can be arranged as 1 < 2.

Therefore, the numbers in ascending order are 1,45,62,187 < 2,35,67,890.

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