
Find the difference between the largest and the smallest six-digit numbers.
Answer
612.6k+ views
Hint: The largest six-digit number is 999999 and the smallest six-digit number is 100000. So we have to subtract 100000 from 999999 to get the answer.
“Complete step-by-step answer:”
Before proceeding with the question, we must know what is the largest six-digit number and what is the smallest six-digit number. We must know how to form the largest six-digit number and the smallest six-digit number.
The largest six-digit number is 999999 because when we add 1 to 999999, we get a seven-digit number. Therefore, 999999 is the largest six-digit number. The smallest six-digit number is 100000 because when we subtract 1 from 100000, we get a five-digit number. Therefore, 100000 is the smallest six-digit number.
As we have to find the difference between the largest and the smallest six-digit numbers, we have to first write the smallest and largest six-digit numbers and then subtract them.
Therefore, we have to find out the largest six-digit number and the smallest six-digit number as:
The largest six-digit number is 999999 and the smallest six-digit number is 100000.
999999 - 100000 = 8,99,999
Hence, the difference between the largest and the smallest six-digit numbers is obtained as 8,99,999.
Note: We can use the following trick to form the largest and the smallest number of any number of digits. The largest number of any digit is formed by placing all the places with 9. The smallest number of any digit is formed by placing 1 and replacing the other digits by 0. Like for example, the largest five-digit number is 99999 and the smallest four-digit number is 1000.
“Complete step-by-step answer:”
Before proceeding with the question, we must know what is the largest six-digit number and what is the smallest six-digit number. We must know how to form the largest six-digit number and the smallest six-digit number.
The largest six-digit number is 999999 because when we add 1 to 999999, we get a seven-digit number. Therefore, 999999 is the largest six-digit number. The smallest six-digit number is 100000 because when we subtract 1 from 100000, we get a five-digit number. Therefore, 100000 is the smallest six-digit number.
As we have to find the difference between the largest and the smallest six-digit numbers, we have to first write the smallest and largest six-digit numbers and then subtract them.
Therefore, we have to find out the largest six-digit number and the smallest six-digit number as:
The largest six-digit number is 999999 and the smallest six-digit number is 100000.
999999 - 100000 = 8,99,999
Hence, the difference between the largest and the smallest six-digit numbers is obtained as 8,99,999.
Note: We can use the following trick to form the largest and the smallest number of any number of digits. The largest number of any digit is formed by placing all the places with 9. The smallest number of any digit is formed by placing 1 and replacing the other digits by 0. Like for example, the largest five-digit number is 99999 and the smallest four-digit number is 1000.
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