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1 mark

In writing the numbers from 10 to 100, how many times is the digit 7 used?

  1. A
    20
  2. B
    19
  3. C
    10
  4. D
    11

Solution & Step-by-step Explanation

Let us count the total number of times the digit 7 appears in the numbers from 10 to 100 by splitting it into distinct positional places:
1. In the units place: 17, 27, 37, 47, 57, 67, 77, 87, 97 (Total = 9 times)
2. In the tens place: 70, 71, 72, 73, 74, 75, 76, 77, 78, 79 (Total = 10 times)

Summing both categories gives occurrences. Note that the number 77 contains two 7s and is correctly accounted for once in each separate list.

Practice this question

Try it yourself before checking the explanation above.

In writing the numbers from 10 to 100, how many times is the digit 7 used?
A
20
B
19
C
10
D
11

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number countingintegersdigital combinations

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