Question

The student lockers a Westfield College are to be numbered consecutively from 1-800 using plastic digits. Each digit costs 10 cents, calculate the total cost of all the digits

Answer 1

To find the total cost of all the digits needed to number the lockers from 1 to 800, we need to first count how many digits we will need.

There are 9 single-digit numbers from 1 to 9, which each require one digit.

There are 90 two-digit numbers from 10 to 99, which each require two digits.

There are 700 three-digit numbers from 100 to 800, which each require three digits.

So the total number of digits we need is:

9(1) + 90(2) + 700(3) = 9 + 180 + 2100 = 2289

Each digit costs 10 cents, so the total cost will be:

2289 digits × $0.10/digit = $228.90

Therefore, the total cost of all the digits needed to number the lockers is $228.90.