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Making Change

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Basics on the topic Making Change

Making Change

Sometimes when people are paying for items they do not have the exact amounts of money. When this happens, they pay more than they need to and receive change in return.

Money and making change is how many dollar bills or coins you get back when you pay too much. Change can be dollar bills or coins! It’s the difference of the money you pay with and how much the item costs.

How to Make Change

There are different ways that you can figure out how to make change with money. In this video we used a number line while counting money and making change. We can learn about making change by counting up! When using a number line to subtract money, you can follow these steps:

Step # What to do
1 Start by creating an equation. You can subtract the amount of money
the item cost from how much money was given to pay for it.
2 Next, put the larger number on the right side of the number line.
3 Skip count backwards.
4 Finally, the number you land on is the answer, or the change!

Making Change with Money – Example

Let’s practice making change with the example below.

Let's imagine we are buying a lot of supplies. If we pay one hundred dollars, and the supplies cost eighty-three dollars, how much change will we receive?

Let's start by setting up the equation! We know that we pay using $100 and we also know that the supplies cost $83. So in order to find out the change that remains, we set up a subtraction – 100 - 83. Now, let's solve our subtraction equation by taking steps back on the number line.

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If we subtract 80 from 100, we can take steps of 20 on our number line. We need to take 4 of these steps with steps of 20. So, subtracting 80 from 100, we land on 20 What remains is 3. So we need to subtract 3 from 20 to get to our result.

We will receive 17 dollars back in change!

Making Change – More Practice

Remember, making change is the difference of how much you pay and how much the item costs. You can use many different tools to solve making change, such as a number line!

When using a number line to make change remember these steps:

Step # What to do
1 Start by creating an equation. You can subtract the amount of money the item cost from how much money was given to pay for it.
2 Next, put the larger number on the right side of the number line.
3 Skip count backwards.
4 Finally, the number you land on is the answer, or the change!

At the end of this making change video, there are interactive exercises for continued practice of making change through counting money and making change worksheets.

Transcript Making Change

Zuri and Freddie are going on a camping trip, but, need to get some supplies first. While shopping, they might need to make change. : "Making Change" Many people often do not have exact amounts of money when paying. When this happens they receive change. Change can refer to coins and dollar bills. Making change is how many coins and dollar bills you get back when you pay too much. So, it is the DIFFERENCE of the money you PAY with and the cost of the item. In this video we will use a number line to help us subtract to find the difference. Zuri and Freddie need to buy a tent first. The tent that they want costs twenty-six dollars. Freddie and Zuri give the cashier thirty dollars, how much change will they get back? We can start by subtracting the amount their tent cost from how much money they gave the cashier. The first step is to create an equation for what we need to solve. Freddie and Zuri gave the cashier thirty dollars for the twenty-six dollar tent. So, we'll subtract thirty minus twenty-six to create our equation. Next, we can put the larger number on the RIGHT side and skip-count back the value of the second number. We'll put thirty on the right side and count back twenty-six. Then, we can skip-count backward by tens twice. After that, we count back by ones (...) six times. Finally, the number that we land on is how much change we will receive. We skip-counted backward and landed on the number four. Zuri and Freddie will receive four dollars in change. Next they are planning to buy A LOT of marshmallows. They grab forty-five dollars worth of marshmallows. If Zuri and Freddie give the cashier sixty dollars, how much change will they receive? First we need to create an equation, how can we set it up? We can set it up as sixty minus forty-five, since Zuri gave sixty and the price is forty-five. Next, we can put the larger number on the RIGHT side and skip-count backward the value of the second number. We need to skip count backward forty-five. There are different ways to skip-count backward. To create the least amount of jumps here, we can skip-count backward FOUR tens and ONE five. If we skip-count backward four tens and one five, what number will we land on? (...) We land on the number fifteen. Zuri and Freddie will receive fifteen dollars back. They also need to buy graham crackers and chocolate! They decide to buy eighty-three dollars worth of the other s'mores supplies. If Zuri and Freddie give the cashier one hundred dollars, how much change will they receive back? Remember, start by creating an equation, what equation did you create? (...) We can create the equation one hundred dollars minus eighty-three. Next, put the larger number on the RIGHT side of the number line. Then, skip-count backward the value of the second number. If we skip-count backward eighty-three, what number will we land on? We land on the number seventeen. Zuri and Freddie received seventeen dollars back. Now Zuri and Freddie need flashlights! They decide to get color changing flashlights that cost one hundred twenty-two dollars. If Zuri gives the cashier one hundred fifty dollars, how much will she receive back? Zuri will get twenty-eight dollars back. Let's summarize. Remember when making change... Start by creating an equation. Next, put the larger number on the RIGHT side of the number line. Then, skip-count backward the amount of the second number. Finally, the number that we land on is how much change we will receive back. Let's check in with Zuri and Freddie. : "Do you have my pillow?" : "I thought you packed the pillows..." : "We can just use the extra jumbo marshmallows!"

Making Change exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Making Change .
  • What are the steps for making change using a number line?

    Hints

    What do you need to create first?

    Does the larger number go on the right of the number line before or after you count backward the amount of the second number?

    Solution
    • Create an equation.
    • Put the larger number on the right.
    • Count backward the amount of the second number.
    • The final number is the change you receive back.
  • Zuri and Freddie buy an umbrella.

    Hints

    Start on the right of the number line and skip count backward, or subtract the numbers on top of the number line.

    What is 80 minus 6 groups of tens or 80 - 60?

    What is 20 - 8?

    Solution

    • 80 - 60 = 20
    • 20 - 8 = 12
    They will receive $12 in change.

  • Let's buy beach chairs.

    Hints

    Start on the right of the number line and skip count backward, or subtract the numbers on top of the number line.

    What is 100 minus 4 groups of twenties or 100 - 80?

    What is 20 - 6?

    Solution

    • 100 - 80 = 20
    • 20 - 6 = 14
    They will receive $14 in change.

  • Time to buy boogie boards.

    Hints

    Start on the right of the number line and skip count backward, or subtract the numbers on top of the number line.

    What is 150 minus 2 groups of fifty or 150 - 100?

    What is 50 - 10?

    What is 40 - 6?

    Solution

    • 150 - 100 = 50
    • 50 - 10 = 40
    • 40 - 6 = 34
    They will receive $34 in change.

  • Make change for beach toys.

    Hints

    Start on the right of the number line and skip count backward, or subtract the numbers on top of the number line.

    What is 50 minus 4 groups of tens or 50 - 40?

    What is 10- 7?

    Solution

    • 50 - 40 = 10
    • 10 - 7 = 3
    They will receive $3 in change.

  • We need a camera!

    Hints

    Start on the right of the number line and skip count backward, or subtract the numbers on top of the number line.

    What is 250 - 100?

    What is 150 - 100?

    What is 50 - 10?

    Solution

    • 250 - 100 = 150
    • 150 - 100 = 50
    • 50 - 10 = 40
    • 40 - 8 = 32
    They will receive $32 in change.