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Combinations of Decimal Money Amounts

Express combinations of coins as decimal amounts.

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Combinations of Decimal Money Amounts

License: CC BY-NC 3.0

Jose has four dollars and ninety-four cents. He wants to impress his math teacher by writing the amount of money as a decimal but isn't sure how to convert from dollars and cents to decimal form. Can you write the amount of money Jose has as a decimal?

In this concept, you will learn how to use decimals to accurately write dollars and cents.

Writing Dollars and Cents as Decimals

Money is a way that you use decimals every day.

Let’s think about change. Coins are cents. If you have 50 pennies, then you have 50 cents. It takes 100 pennies to make one dollar or one whole. Coins are parts of one dollar so you can represent coins in decimals.

A penny is one cent or it is one out of 100. When you have a collection of pennies, you have so many cents out of 100.

How can you write 5 cents as a decimal? To do this, you need to think about 5 out of 100. You can say that 5 cents is 5 hundredths of a dollar since there are 100 pennies in one dollar.

Let’s write 5 cents as a decimal using place value.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

. 5

The five is in the hundredths box because five cents is five one hundredths of a dollar. You need to add a zero in the tenths box to fill the gap.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

. 0 5

Now you have converted 5 cents to a decimal.

Suppose you have twelve dollars and fourteen cents. A dollar is a whole number amount. Dollars are found to the left of the decimal point. Cents are parts of a dollar. They are found to the right of the decimal point. 

There is one ten and the two ones gives you twelve dollars. Then you have some change. One dime and four pennies is equal to fourteen cents.

Here are the numbers:

12 wholes

14 parts

Let’s put the values in a place value chart.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

1 2 . 1 4

There is the money amount. The answer is $12.14. Notice that the dollar sign is added to the answer to represent money.

Examples

Example 1

Earlier, you were given a problem about Jose and his four dollars and ninety-four cents.

How can you write that value as a decimal?

First, write the amount in a place value chart. 

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

4 . 9 4

Then, write the number as a decimal.

4.94

The answer is $4.94.

Example 2

Write 75 cents as a decimal.

First, think about what part of a dollar 75 cents is. Seventy-five cents is seventy-five out of 100.

Now, you can put this into the place value chart.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

. 7 5

Then write the number as a decimal.

0.75

The answer is $0.75.

Example 3

Write three dollars and fifteen cents as a decimal.

First, write the amount in a place value chart.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

3 . 1 5

Then, write the number as a decimal.

3.15

The answer is $3.15

Example 4

Write eighty-nine cents as a decimal.

First, write the amount in a place value chart.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

. 8 9

Then, write the number as a decimal.

0.89

The answer is $0.89.

Example 5

Write fifteen dollars and twenty-five cents as a decimal.

First, write the amount in a place value chart.

Hundred Tens Ones Tenths Hundredths Thousandths

Ten

Thousandths

1 5 . 2 5

Then, write the number as a decimal.

15.25

The answer is $15.25.

Review

Write the following money amounts as decimals.

  1. Ten dollars and fifty cents
  2. Five dollar bills, two quarters and three pennies
  3. A twenty dollar bill, a ten dollar bill and three dimes
  4. Fifteen nickels and two quarters
  5. Six dollar bills, three quarters and a nickel
  6. A dime and fifteen pennies
  7. Two dollars, ten dimes and two quarters
  8. Three quarters, five nickels and ten pennies
  9. Sixteen dollar bills, two quarters, a nickel and ten pennies
  10. A ten dollar bill, a five dollar bill, one quarter, three nickels, a dime and ten pennies
  11. A ten dollar bill, a quarter, a dime, five nickels and fifteen pennies
  12. A five dollar bill, two quarters, two dimes, a nickel and two pennies
  13. Two dollar bills, a quarter and five pennies
  14. Three dollar bills, a twenty dollar bill, two quarters and five dimes
  15. A dollar, three quarters, two dimes, five nickels and two pennies

Review (Answers)

To see the Review answers, open this PDF file and look for section 3.4. 

Resources

Vocabulary

Decimal

In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).

Decimal point

A decimal point is a period that separates the complete units from the fractional parts in a decimal number.

Expanded Form

Expanded form refers to a base and an exponent written as repeated multiplication.

Whole Numbers

The whole numbers are all positive counting numbers and zero. The whole numbers are 0, 1, 2, 3, ...

Image Attributions

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