Money: Coins, Dollar Bills & Word Problems | Grade 2 Math

Money: Coins, Dollar Bills & Word Problems
Learn the values of U.S. pennies, nickels, dimes, quarters, and dollar bills. Count and compare collections, make the same amount in different ways, and solve simple shopping and change problems using the $ and ¢ symbols correctly. Work through 25 fully explained examples, 30 independent practice problems, and a 15-question lesson test.
๐ฏ What You Will Learn
Identify a penny, nickel, dime, and quarter; know the values of $1 and $5 bills.
Skip-count by 25s, 10s, and 5s, then add pennies.
Find two different collections that have the same value and compare what you have.
Add costs, find change, and choose the correct $ or ¢ symbol without requiring decimal notation.
๐ง Key Vocabulary
A penny is worth 1 cent (1¢); a nickel is worth 5 cents (5¢).
A dime is worth 10 cents (10¢); a quarter is worth 25 cents (25¢).
A $1 bill is worth one dollar. A $5 bill is worth five dollars. One dollar equals 100 cents.
A total is how much you have or spend altogether. Change is the money you get back after paying more than a price.
Different groups of coins can have the same total value.
Write $ before a whole-dollar amount, as in $5. Write ¢ after a cent amount, as in 45¢.
๐ช 1. Meet U.S. Coins and Dollar Bills
Use the name and value of each coin, not just its size or color. U.S. coins in our drawings are simplified learning models; real coins have more detail.
| Coin | Value | Helpful way to count |
|---|---|---|
| Penny | 1¢ | By ones |
| Nickel | 5¢ | By fives |
| Dime | 10¢ | By tens |
| Quarter | 25¢ | 25, 50, 75, 100 |
| $1 bill | $1 = 100¢ | One whole dollar |
| $5 bill | $5 | Five whole dollars |
๐ข 2. Count Like Coins by Their Values
Count nickels by fives, dimes by tens, and quarters by twenty-fives. For example, three nickels make 5¢ + 5¢ + 5¢ = 15¢. A penny adds 1¢ each time.
๐งฉ 3. Count Mixed Collections
Group quarters, dimes, nickels, and pennies. Add one group at a time. For example, a quarter, two dimes, and three pennies make 25¢ + 20¢ + 3¢ = 48¢.
๐ 4. Find Equal Amounts in Different Ways
Different coins can have the same value. For example, two dimes are worth 20¢, and four nickels are also worth 20¢. Both are valid ways to make 20¢.
When a question asks for one different combination, more than one answer may be correct. Explain the values of the coins you chose.
๐ต 5. Work with Dollar Bills and Cents
A $1 bill is worth 100¢. Two $1 bills are $2, and a $5 bill and two $1 bills are $7. At this grade level, we can write a mixed amount as $1 and 35¢, keeping dollars and cents clear without using decimal notation.
๐️ 6. Solve Shopping and Change Problems
Read the question carefully: Are you finding the total price, the amount left, the change, or how much more money is needed?
Add prices in the same unit: 30¢ + 45¢ = 75¢.
Subtract the price from the amount paid: 50¢ − 35¢ = 15¢.
Compare the money you have with the price. If it is less, find the difference.
Add two prices, then subtract from the amount you have. Explain each step.
๐ 25 Worked Examples
Show step-by-step solution
Step 1. A penny is worth 1¢.
Step 2. Add three equal coin values: 1¢ + 1¢ + 1¢ = 3¢.
Step 3. Write the answer with the cent symbol.
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Step 1. One nickel is worth 5¢.
Step 2. Count by fives for two nickels: 5¢, 10¢.
Step 3. Two nickels have the same value as one dime.
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Step 1. Each dime is worth 10¢.
Step 2. Count by tens: 10¢, 20¢, 30¢.
Step 3. The three dimes are worth 30¢ in all.
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Step 1. A quarter is worth 25¢.
Step 2. Add 25¢ + 25¢ = 50¢.
Step 3. Two quarters make 50¢, or half of one dollar.
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Step 1. Name the coin values: quarter 25¢, dime 10¢, nickel 5¢.
Step 2. Add the larger values first: 25¢ + 10¢ = 35¢.
Step 3. Then add the nickel: 35¢ + 5¢ = 40¢.
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Step 1. Count the three dimes: 10¢, 20¢, 30¢.
Step 2. The four pennies are worth 4¢.
Step 3. Add the groups: 30¢ + 4¢ = 34¢.
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Step 1. Start with the quarter: 25¢.
Step 2. Two nickels add 10¢, giving 35¢.
Step 3. Three pennies add 3¢ more: 35¢ + 3¢ = 38¢.
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Step 1. Two quarters are 25¢ + 25¢ = 50¢.
Step 2. Three dimes are 10¢ + 10¢ + 10¢ = 30¢.
Step 3. Add 50¢ + 30¢ = 80¢.
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Step 1. Collection A: 25¢ + 20¢ = 45¢.
Step 2. Collection B: 40¢ + 2¢ = 42¢.
Step 3. Compare 45¢ and 42¢. Collection A has 3¢ more.
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Step 1. Think of the missing amount: 35¢ + ? = 50¢.
Step 2. Subtract: 50¢ − 35¢ = 15¢.
Step 3. A dime and a nickel would be one way to add 15¢.
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Step 1. First way: three dimes are 10¢ + 10¢ + 10¢ = 30¢.
Step 2. Second way: one quarter and one nickel are 25¢ + 5¢ = 30¢.
Step 3. The collections use different coins but have the same value.
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Step 1. Five dimes are 10¢ + 10¢ + 10¢ + 10¢ + 10¢ = 50¢.
Step 2. Two quarters are 25¢ + 25¢ = 50¢.
Step 3. Both collections are worth 50¢, so they are equal.
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Step 1. Value the quarter: 25¢.
Step 2. Value the dimes and nickels: 30¢ + 10¢ = 40¢.
Step 3. Add 25¢ + 40¢ = 65¢. That is exactly the bookmark price.
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Step 1. Every quarter is worth 25¢.
Step 2. Count four quarters: 25¢, 50¢, 75¢, 100¢.
Step 3. Since 100¢ = $1, four quarters make one dollar.
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Step 1. The large bill is worth $5.
Step 2. Two $1 bills are worth $2.
Step 3. Add $5 + $2 = $7. Use the dollar symbol for whole dollars.
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Step 1. Each bill is worth $5.
Step 2. Add the two whole-dollar amounts: $5 + $5 = $10.
Step 3. Both bills together are worth ten dollars.
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Step 1. Serena gives the store $5.
Step 2. Subtract the $4 price: $5 − $4 = $1.
Step 3. Her change is one dollar.
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Step 1. Two quarters are worth 50¢.
Step 2. Subtract the price from the amount paid: 50¢ − 35¢ = 15¢.
Step 3. Ben gets 15¢ in change, such as one dime and one nickel.
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Step 1. Both prices are in cents, so they can be added.
Step 2. Add 28¢ + 37¢ by combining tens and ones: 20¢ + 30¢ + 8¢ + 7¢ = 65¢.
Step 3. The two items cost 65¢ together.
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Step 1. Start with 90¢.
Step 2. Subtract 45¢: 90¢ − 45¢ = 45¢.
Step 3. Avery has 45¢ left.
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Step 1. His coins add up to 25¢ + 30¢ = 55¢.
Step 2. He spends 40¢.
Step 3. Subtract 55¢ − 40¢ = 15¢.
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Step 1. The dime is worth 10¢, so the nickels must make 25¢ − 10¢ = 15¢.
Step 2. Each nickel is worth 5¢.
Step 3. Count 5¢, 10¢, 15¢: that is three nickels.
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Step 1. The quarters make 50¢.
Step 2. The missing value is 60¢ − 50¢ = 10¢.
Step 3. One dime is worth 10¢.
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Step 1. Remember that one dollar equals 100¢.
Step 2. Add the prices: 35¢ + 45¢ = 80¢.
Step 3. Subtract the total from 100¢: 100¢ − 80¢ = 20¢.
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Step 1. Find his starting amount: 50¢ + 20¢ + 3¢ = 73¢.
Step 2. Subtract the card price: 73¢ − 28¢ = 45¢.
Step 3. The toy costs 50¢, so 45¢ is not enough.
Step 4. Find the difference: 50¢ − 45¢ = 5¢.
✍️ Independent Practice — 30 Problems
Work through these problems in order. For counting questions, write the amount and the correct symbol. For questions asking for a different coin combination, other mathematically correct answers are allowed. The complete key is closed at the bottom of the lesson.
- Pennies. How many cents are four pennies worth?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Nickels. What is the value of three nickels?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Dimes. What is the value of five dimes?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Quarters. What is the value of three quarters?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Three coin types. Count one dime, one nickel, and one penny.
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Dimes and nickels. How many cents are two dimes and three nickels worth?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Add some pennies. Count one quarter, two dimes, and four pennies.
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Quarters, dime, pennies. How many cents are two quarters, one dime, and three pennies worth?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Three coin groups. Count three dimes, two nickels, and five pennies.
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - A mixed handful. Count two quarters, four nickels, and one penny.
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Equal collections. Collection A has one quarter and three dimes. Collection B has two quarters and one nickel. Which collection has more money, or are they equal?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Compare by subtraction. Collection A has four dimes and five pennies. Collection B has one quarter, two nickels, and five pennies. Which has more, and how much more?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Two combinations. Show two different ways to make 20¢ using only nickels and dimes.
- Missing coin. Two quarters and one dime are worth 60¢. Which one additional coin makes the total 65¢?
- Missing pennies. One dime and one nickel are worth 15¢. How many pennies must you add to make 17¢?
- Small change. A ruler costs 45¢. You pay 50¢. How much change should you get?
- Add two prices. A notebook costs 32¢ and a pencil costs 27¢. What is their combined cost?
- Money left. Liam has 80¢. He buys a sticker for 45¢. How many cents remain?
- Two purchases. Noah starts with 90¢. He pays 55¢ for a booklet and 25¢ for a bookmark. How many cents remain?
- Does Zoe have enough? Zoe has two quarters and two dimes. A notebook costs 75¢. Does Zoe have enough? If not, how many cents is she short?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Replace a coin collection. Mia has three dimes and four nickels. Which coins could replace that collection with the same value: one quarter or two quarters?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Enough money and change. A bracelet costs 68¢. Olivia has three quarters. Can she buy the bracelet? How much money would be left?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Count dollar bills. What is the value of five $1 bills?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Count different bills. How many dollars are one $5 bill and three $1 bills worth?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Whole-dollar change. You give a cashier one $5 bill and five $1 bills for a $9 toy. What is your change?
- Save some dollars. A child has two $5 bills and buys a $7 board game. How many dollars are left?
- Separate dollars and cents. Count one $1 bill, two quarters, and three dimes. Write the total using whole dollars and cents, without decimal notation.
- Another way to make 35¢. One quarter and one dime make 35¢. Name a different combination of dimes and nickels that also makes 35¢.
- Name the missing coin. Two dimes and one nickel are worth 25¢. Which one coin must be added to make 50¢?
- Two steps at the store. Ari has 94¢. A folder costs 27¢ and a pencil costs 38¢. How many cents will Ari have left after buying both?
๐ Lesson Test — 15 Questions
Complete the test independently. Write full answers, including $ or ¢ and a short explanation when requested. Do not open the answer key until you finish.
- Dimes and pennies. One dime and two pennies are worth how many cents?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Nickels and dime. Find the value of four nickels and one dime.
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - A mixed collection. Count one quarter, two nickels, and one penny.
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - More mixed coins. How many cents are two quarters, two dimes, and two pennies worth?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Compare collections. Collection A has three dimes and two nickels. Collection B has one quarter and one dime. Which is worth more, and by how many cents?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Unknown nickels. One quarter and some nickels are worth 40¢. How many nickels are there?
- Find change. A notebook costs 65¢. You pay with three quarters. How many cents of change do you receive?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Add prices. A toy car costs 46¢ and a sticker costs 29¢. What is the total price?
- How much remains? Eli has 85¢ and buys a pen for 40¢. How many cents remain?
- Make an equal amount. Give two different combinations of quarters, dimes, or nickels that make 45¢.
- Count whole dollars. One $5 bill and four $1 bills are worth how much?
Read the pictured coins or bills. Work out the answer before opening the key. On a narrow screen, swipe sideways to see the whole diagram. With a keyboard, focus the diagram and use the arrow keys. - Change in whole dollars. You have one $5 bill and three $1 bills. You buy a $6 game. What change should you receive?
- Dollars plus a coin group. Count one $1 bill, three dimes, and one nickel. Write the answer as dollars and cents without using decimal notation.
- Spend and earn. Jade has 35¢. She spends 20¢ on a pencil, then earns 15¢ for a chore. How many cents does she have now?
- Pay one dollar for two items. A small ball costs 65¢ and a sticker costs 25¢. You pay with a $1 bill. Can you buy both? If so, what is your change?
๐ Complete Answer Key
Check the corresponding answer key after finishing the exercises. All 25 worked-example solutions above and both keys here are closed by default.
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Practice Answers
Show test answer key
Test Answers
๐ก Common Mistakes to Watch For
A dime is smaller than a nickel but is worth twice as much.
Three quarters are 75¢, not 3¢.
Write 48¢ for forty-eight cents, but $4 for four dollars.
A $1 bill can pay for a 75¢ item, leaving 25¢.
To find change, subtract the cost from the amount paid.
Four nickels and two dimes can make the same value as four dimes. Check the total.
๐ก Family Practice Idea
๐ Related Lessons
Explore the previous time-and-money unit topic.
Grade 2 Lesson 5 — Skip CountPractice counting by fives, tens, and hundreds.
Grade 2 Lesson 13 — Mental Addition & SubtractionReview efficient ways to combine and subtract amounts.
Grade 2 Lesson 14 — One- & Two-Step Word ProblemsSolve story problems about totals and amounts left.
Grade 2 Lesson 26 — Addition & Subtraction on a Number LineReview adding and subtracting within 100.
Grade 2 Math HubBrowse all topics in the free Grade 2 lesson sequence.
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