Early Math · Grade 2

Counting Money: Coins, Dollars and Cents

Quick answer

A penny is worth 1 cent, a nickel 5 cents, a dime 10 cents and a quarter 25 cents, and a dollar is 100 cents. Size does not tell value: the dime is the smallest coin but is worth more than a penny or a nickel. To count mixed coins, start with the ones worth the most and skip-count down: 2 quarters, 1 dime and 3 pennies are 25, 50, 60, 61, 62, 63 — 63 cents. Cents are written with the ¢ sign and dollars with the dollar sign.

What you'll learn

  • Name coins and bills and tell what each is worth
  • Count a mix of coins by starting with the ones worth the most
  • Write amounts with the ¢ and dollar signs and solve money word problems

Coins and their values

Here are the four coins, drawn to their real sizes compared with each other.

A penny, a nickel, a dime and a quarter Four coins in a row: a copper penny marked 1 cent, a nickel marked 5 cents, a small dime marked 10 cents and a large quarter marked 25 cents. 1¢ 5¢ 10¢ 25¢
A penny, a nickel, a dime and a quarter
CoinWorth
penny11 cent, written 1¢
nickel55 cents, written 5¢
dime1010 cents, written 10¢
quarter2525 cents, written 25¢

A dollar is worth 100100 cents. It is written $1.

Look at the dime. It is the smallest coin, but it is worth more than a penny or a nickel. A coin’s value does not come from its size.

Count mixed coins

Sort the coins. Start with the ones worth the most, and skip-count.

Two quarters, a dime and three pennies Six coins: two quarters, one dime and three pennies. 25¢ 25¢ 10¢ 1¢ 1¢ 1¢
Two quarters, a dime and three pennies

Count the quarters by 2525s: 2525, 5050. Then the dime: 6060. Then the pennies by ones: 6161, 6262, 6363.

That is 63¢.

Why start with the coins worth the most

The order you count in does not change the total. Starting big makes the count shorter: two big jumps of 2525 get you to 5050 at once, and the small coins finish the count.

It also keeps the skip-counting simple. Counting by 2525s, then 1010s, then 55s, then ones means you only switch once for each kind of coin.

Dollars

A dollar is 100100 cents. Four quarters make a dollar: 2525, 5050, 7575, 100100. Ten dimes make a dollar too.

Whole dollars are written with the dollar sign in front: $1, $5, $20. Dollars add like any other numbers. If Ben has $3 and gets $5 more, he has $8.

Worked examples

Common mistakes

Practice problems

  1. How much money is this?

    How much money? Five coins: three dimes and two nickels. 10¢ 10¢ 10¢ 5¢ 5¢
    How much money?
    Answer

    40¢

    Full solution

    Dimes by 1010s: 1010, 2020, 3030. Nickels by 55s: 3535, 4040.

  2. How many pennies are worth the same as a quarter?

    Answer

    2525

    Full solution

    A quarter is 25¢, and each penny is 1¢.

  3. How much money is this?

    How much money? Six coins: two quarters, one dime, one nickel and two pennies. 25¢ 25¢ 10¢ 5¢ 1¢ 1¢
    How much money?
    Answer

    67¢

    Full solution

    2525, 5050; dime: 6060; nickel: 6565; pennies: 6666, 6767.

  4. How many quarters make a dollar?

    Answer

    44

    Full solution

    Count by 2525s to 100100: 2525, 5050, 7575, 100100. That is 44 quarters.

  5. A sticker costs 20¢. Leo pays with a quarter. How much change does he get?

    Answer

    5¢

    Full solution

    25−20=525 - 20 = 5. His change is 5¢, one nickel.

  6. Mia has $4. She earns $6 more. How many dollars does she have now?

    Answer

    $10

    Full solution

    Dollars add like any numbers: 4+6=104 + 6 = 10.

  7. Show 30¢ with exactly three coins.

    Answer

    Three dimes

    Full solution

    10+10+10=3010 + 10 + 10 = 30. (A quarter and a nickel is only two coins.)

  8. Sam has 3 quarters. Jo has 8 dimes. Who has more money?

    Answer

    Jo

    Full solution

    Sam: 25+25+25=7525 + 25 + 25 = 75 cents. Jo: 88 dimes are 8080 cents. 8080 is more than 7575.

  9. A toy costs 85¢. Ana has 60¢. How much more does she need?

    Answer

    25¢

    Full solution

    85−60=2585 - 60 = 25. She needs 25¢ more, one quarter.

  10. Ty has a dime and two nickels. He says he has more money than Eve, who has one quarter, because he has more coins. What went wrong?

    Hint

    Count the cents, not the coins.

    Answer

    He has only 20¢, and Eve has 25¢. Eve has more.

    Full solution

    Ty: 10+5+5=2010 + 5 + 5 = 20 cents. Eve: 2525 cents.

    More coins does not mean more money. What matters is what each coin is worth.

Frequently asked questions

How much is each coin worth?

A penny is 1 cent, a nickel 5 cents, a dime 10 cents and a quarter 25 cents.

How many cents are in a dollar?

100. That is 4 quarters, 10 dimes, 20 nickels or 100 pennies.

What is the fastest way to count coins?

Sort them and start with the coins worth the most. Count quarters by 25s, then dimes by 10s, nickels by 5s and pennies by 1s.

Why is a dime worth more than a nickel if it is smaller?

A coin's value is set by what it stands for, not by its size. A dime stands for 10 cents and a nickel for 5.

How do I write 45 cents?

As 45¢. Whole dollars use the dollar sign in front, as in a three-dollar price.

What to learn next

Standards alignment

This lesson covers the following Common Core State Standards for Mathematics.

  • CCSS.MATH.CONTENT.2.MD.C.8Measurement and DataSolve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately.