Question

What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?

Answer 1

The total number of digits required are 5,789

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

`9(1)+90(2)+900(3)+725(4)\\9+180+2,700+2,900\\5,789\ digits`

Answer 2

The total number of digits required in numbering the pages of a book, which has 1,724 pages are 5,789.

Explanation:

The total pages = 1,724

Now, to find the total digits, lets break down the pages.

1,724 is made up of

• 9 one digit numbers (1-9) = 9 x 1 = 9 digits
• 90 two digit numbers (10-99) = 90 x 2 = 180 digits
• 900 three digit numbers (100-999) = 900 x 3 = 2700 digits
• 725 four digit numbers (1000-1724) = 725 x 4 = 2900 digits

Now, lets add the digits.

9 + 180 + 2700 + 2900 = 5,789

Hence, the total number of digits required in numbering the pages of a book, which has 1,724 pages are 5,789.