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  • 21-04-2020
  • Mathematics
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What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?

Respuesta :

calculista
calculista calculista
  • 26-04-2020

Answer:

[tex]5,789[/tex]

Step-by-step explanation:

we know that

When numbering the pages of a book, which has 1,724 pages, we need:

9 one-digit numbers (from 1 - 9)

90 two-digit numbers (from 10 - 99)

900 three-digit numbers (from 100 - 999)

725 four-digit numbers (from 1,000 - 1,724)

Multiply each value by the number of digits

so

[tex]9(1)+90(2)+900(3)+725(4)[/tex]

[tex]9+180+2,700+2,900[/tex]

[tex]5,789\ digits[/tex]

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