how many times the digit 7 appear in the number from 0 to 108
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in the number 0 to 108 the number seven will appear 20 times
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The digit 7 appears 21 times in the given range from 0 to 108.
The cases in which the digit '7' appears in the numbers from 0 to 108 can be divided into parts as :
- Single-digit numbers that have 7 i.e. from 0 to 9
- Double-digit numbers that have 7 as their first digit i.e. from 10 to 99
- Double-digit numbers that have 7 as their last digit i.e. from 10 to 99
- Triple-digit numbers that have 7 i.e. from 100 to 108
Case 1 : Single-digit numbers
- The numbers within this range include 0 to 9
- The number with the digit 7 in this range is the number 7
- So, the count of occurrence of 7, in this case, is 1.
Case 2 : Double-digit numbers starting with 7
- The numbers within this range include 10 to 99
- The numbers that start with the digit 7 are 70, 71, 72, 73, 74, 75, 76, 77, 78, 79
- So, the count of occurrence of 7, in this case, is 11.
Case 3 : Double-digit numbers ending with 7
- The numbers within this range include 10 to 99
- The numbers that end with the digit 7 are 17, 27, 37, 47, 57, 67, 77, 87, 97
- Except for 77 which is counted above, the count of occurrence of 7, in this case, is 8.
Case 4 : Triple-digit numbers
- The numbers within this range include 100 to 108
- The number within this range that has '7' is the number 107.
- So, the count of occurrence of 7, in this case, is 1.
So, the total occurrences of digit 7 are:
Hence, the digit 7 appears 21 times in the given range.
To learn more about Digit Count, visit
https://brainly.in/question/4979401
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