How many quarters make up a hundred dollar bill?

Answer 1

A hundred dollar bill is $100.00 or 10,000 cents. A quarter is $0.25 or 25 cents. In order to determine the number of quarters that makes up a hundred dollar bill, we need to divide the numbers of cents. That is:

10,000 cents / 25 cents = 400 quarters

You can also work out the problem this way:

10,000 cents * 1 quarters / 25 cents

If you know how to multiply fractions, then you are able to understand how this works. Otherwise, learn how to simplify fractions.

The "cents" are in the numerator and denominator. We can divide them to get:

10,000 cents * 1 quarters / 25 cents

= 10,000 * 1 quarters / 25

One way to work out this computation is to multiply the numbers altogether and divide them. Another way is to reverse the steps of that method and work out the computation. Both of these methods should give you the same number if you simplify the values correctly.

First Method

10,000 / 25 quarters

= 400 quarters

Second Method

Make note that:

10,000 = 10⁴ = (2 * 5)⁴ = 2⁴ * 5⁴

25 = 5²

In terms of these primes or these factors, we have...

2⁴ * 5⁴ / 5²

We can divide the common terms to get...

2⁴ * 5² * 5² / 5²

= 2⁴ * 5²

= 16 * 25

= 400

Therefore, we have 400 quarters.