Joshua wrote down 1 to 30 how many times did he write the number 1

General
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joshua wrote down 1 to 30 how many times did he write the number 1

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How many times did Joshua write the number 1 when he wrote down numbers from 1 to 30?

Answer: To determine how many times Joshua wrote the number 1 when writing down the numbers from 1 to 30, we need to analyze each position within those numbers—specifically the tens and the units position.

Step-by-Step Analysis

Step 1: Numbers 1 to 9

  • From 1 to 9, the digit 1 appears once, in the number 1 itself.

Step 2: Numbers 10 to 19

  • Here, the digit 1 appears in every number:
    • Tens place: The numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18, and 19. This results in 10 appearances.
    • Units place: The digit 1 appears in 11. This accounts for 1 appearance.

Step 3: Numbers 20 to 30

  • In this range:
    • Tens place: The digit 1 does not appear.
    • Units place: The digit 1 appears in 21. This accounts for 1 appearance.

Total Count

Adding these appearances gives us:

  • 1 appearance from the numbers 1 to 9.
  • 10 appearances (tens place) and 1 appearance (units place) in the numbers 10 to 19.
  • 1 appearance (units place) in the numbers 20 to 30.

The total count of the digit 1 is:

1 (from\ 1\ to\ 9) + 10 (tens\ place,\ 10\ to\ 19) + 1 (units\ place,\ 10\ to\ 19) + 1 (units\ place,\ 20\ to\ 30) = 13

Thus, Joshua wrote the number 1 a total of 13 times. @anonymous12