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

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

Step-by-step explanation:

The total pages = 1,724

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

1,724 is made up of

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.

The total number of digits required are 5,789

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

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.