raulzelaya08 raulzelaya08
  • 25-09-2019
  • Mathematics
contestada

A book has 500 pages numbered 1,2,3 and so on. How many times does the digit 1 appear in the page numbers?

Respuesta :

Аноним Аноним
  • 25-09-2019

Answer:

[tex]200[/tex]

Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

1 - 9

One only appears once.

1

10 - 19

One appears 11 times.

1 + 11

20 - 99

One only appears 8 times.

1 + 11 + 8

Add:

1 + 11 + 8

=> 20

Since the same is for  200-299, and so on. Let us add twenty four times.

20 * 4

=> 80

Looking back to 100-199, there are 120 ones.

Add:

120 + 80

=> 200

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