Financial Literacy and Applied Economics

Coin Values and Equivalencies

Money helps us buy things. In the United States, we use different coins, and each coin has a value. The value tells how many cents the coin is worth.

In this lesson, you will learn the value of common US coins and how to tell when different groups of coins are equal. This means they have the same total value, even if the coins are different.

Remember: 100 cents equals 1 dollar.

Meet the coins

• Penny = 1 cent = \(1\text{¢}\)
• Nickel = 5 cents = \(5\text{¢}\)
• Dime = 10 cents = \(10\text{¢}\)
• Quarter = 25 cents = \(25\text{¢}\)

It is important to know that the biggest coin is not always worth the most. For example, a dime is smaller than a nickel, but a dime is worth more.

How to compare coin values

To compare coins, look at how many cents each coin is worth. Then you can decide which coin has a greater value or if two groups of coins are equal.

• 1 nickel has the same value as 5 pennies.
• 1 dime has the same value as 2 nickels.
• 1 dime has the same value as 10 pennies.
• 1 quarter has the same value as 5 nickels.
• 1 quarter has the same value as 2 dimes and 1 nickel.
• 1 quarter has the same value as 25 pennies.

These are called equivalencies. That means different coin groups can have the exact same value.

Ways to find equivalencies

You can find coin equivalencies in two simple ways:

1. Count by the value of the coins.
2. Add the cents.

For example, if you have 2 nickels, you can count by 5s: 5, 10. So 2 nickels equal 10 cents.

You can also add: \(5 + 5 = 10\). So 2 nickels equal 1 dime.

Helpful skip-counting patterns

• Pennies: count by 1s
• Nickels: count by 5s
• Dimes: count by 10s
• Quarters: count by 25s

Skip-counting makes it faster to find the value of a group of coins.

Worked Example 1: Pennies and a nickel

How many pennies are equal to 1 nickel?

A nickel is worth \(5\text{¢}\). A penny is worth \(1\text{¢}\).

So we need 5 pennies to make 5 cents.

Answer: \(1\) nickel = \(5\) pennies.

Worked Example 2: Dimes and nickels

Is 1 dime equal to 2 nickels?

Let’s check the values:

• 1 dime = \(10\text{¢}\)
• 2 nickels = \(5\text{¢} + 5\text{¢} = 10\text{¢}\)

Both amounts are 10 cents.

Answer: Yes, 1 dime is equal to 2 nickels.

Worked Example 3: A quarter in different ways

Show two different ways to make 25 cents.

We know 1 quarter is worth \(25\text{¢}\).

Way 1: 5 nickels

Way 2: 2 dimes and 1 nickel

Answer: 1 quarter = 5 nickels = 2 dimes and 1 nickel.

Worked Example 4: Are these coin groups equal?

Compare these two groups:

• Group A: 1 quarter
• Group B: 3 nickels and 1 dime

Find the value of each group.

Group A:

Group B:

Group B is also worth 25 cents.

Answer: Yes, the groups are equal because both are worth \(25\text{¢}\).

Tips for solving coin problems

• Say the value of each coin out loud.
• Count carefully using 1s, 5s, 10s, or 25s.
• Add the coin values to find the total.
• Compare totals to see if they are equal.
• If two groups have the same number of cents, they are equivalent.

Common equivalencies to remember

• \(5\text{ pennies} = 1\text{ nickel}\)
• \(10\text{ pennies} = 1\text{ dime}\)
• \(2\text{ nickels} = 1\text{ dime}\)
• \(25\text{ pennies} = 1\text{ quarter}\)
• \(5\text{ nickels} = 1\text{ quarter}\)
• \(2\text{ dimes} + 1\text{ nickel} = 1\text{ quarter}\)

Try thinking about it this way

If two groups of coins can buy the same thing, then they have the same value. For example, if a snack costs \(25\text{¢}\), you could pay with 1 quarter, or 5 nickels, or 2 dimes and 1 nickel.

Different coins, same value.

Summary

US coins have different values: penny \(1\text{¢}\), nickel \(5\text{¢}\), dime \(10\text{¢}\), and quarter \(25\text{¢}\). Coin equivalencies happen when different coins or groups of coins have the same total value.

To find equivalencies, count the value of each coin and add the cents. If the totals match, the coin groups are equal.

Counting Mixed Coin Collections means finding the total value of a group of different coins.

When coins are mixed together, it can feel confusing at first. A smart way to count them is to organize the coins from highest value to lowest value, then count in order.

In this lesson, you will learn how to count groups of pennies, nickels, dimes, and quarters.

First, remember what each coin is worth:

• Penny = \(1\) cent
• Nickel = \(5\) cents
• Dime = \(10\) cents
• Quarter = \(25\) cents

A good rule is to count coins in this order:

1. Quarters
2. Dimes
3. Nickels
4. Pennies

We start with the coin worth the most because it makes counting faster and easier.

Step-by-step strategy:

1. Look at all the coins.
2. Group the same coins together.
3. Put the groups in order from greatest value to least value.
4. Skip-count the quarters, dimes, and nickels.
5. Add the pennies at the end.

Skip-counting means counting by a number again and again. For example:

• Dimes: \(10, 20, 30, 40\)
• Nickels: \(5, 10, 15, 20\)
• Quarters: \(25, 50, 75, 100\)

Let’s practice with some examples.

Worked Example 1

You have 2 dimes and 3 pennies.

Start with the dimes.

Count by tens: \(10, 20\). So, 2 dimes = \(20\) cents.

Now add the 3 pennies.

\(20 + 3 = 23\)

So the total value is:

$$23\text{ cents}$$

Worked Example 2

You have 1 quarter, 2 nickels, and 4 pennies.

Put them in order: quarter, nickels, pennies.

Start with the quarter:

\(25\) cents

Now count the 2 nickels:

\(25, 30, 35\)

So after the nickels, you have \(35\) cents.

Add 4 pennies:

\(35 + 4 = 39\)

So the total value is:

$$39\text{ cents}$$

Worked Example 3

You have 3 quarters, 1 dime, 2 nickels, and 2 pennies.

Start with the quarters.

Count by 25s: \(25, 50, 75\)

So, 3 quarters = \(75\) cents.

Add 1 dime:

\(75 + 10 = 85\)

Add 2 nickels:

Count by fives: \(85, 90, 95\)

Now you have \(95\) cents.

Add 2 pennies:

\(95 + 2 = 97\)

So the total value is:

$$97\text{ cents}$$

Worked Example 4

You have 4 dimes, 3 nickels, and 6 pennies.

There are no quarters, so start with the dimes.

Count by tens: \(10, 20, 30, 40\)

So, 4 dimes = \(40\) cents.

Add 3 nickels:

Count by fives: \(40, 45, 50, 55\)

Now you have \(55\) cents.

Add 6 pennies:

\(55 + 6 = 61\)

So the total value is:

$$61\text{ cents}$$

Helpful tips:

• Do not count every coin by ones if you do not need to. Skip-counting is faster.
• Always organize first. Mixed-up coins are harder to count.
• Start with the greatest value. This helps you keep track.
• Pennies come last because they only add \(1\) each.

Watch out for these common mistakes:

• Mixing up a nickel and a dime. A nickel is \(5\) cents, and a dime is \(10\) cents.
• Forgetting to group the same coins together first.
• Counting the same coin twice.
• Adding pennies too early and losing track of the total.

Try this thinking:

If you see a pile of coins, ask yourself:

• How many quarters are there?
• How many dimes are there?
• How many nickels are there?
• How many pennies are there?

Then count in that order.

One more way to show the total is with an addition sentence.

For example, if you have 1 quarter, 2 dimes, 1 nickel, and 3 pennies:

$$25 + 20 + 5 + 3 = 53$$

So the coins are worth \(53\) cents.

Summary

To count mixed coin collections, first group the same coins together. Then put them in order from highest value to lowest value: quarters, dimes, nickels, pennies.

Use skip-counting for quarters, dimes, and nickels. Add the pennies last to find the total number of cents.

Translating Dollar and Cent Notation means reading and writing money amounts correctly.

When we write money, we use a dollar sign and a decimal point. The decimal point separates dollars from cents.

For example, in \(\$4.35\), the 4 means 4 dollars, and the 35 means 35 cents.

This lesson will help you learn how to read money amounts, write them correctly, and understand what each digit means.

1. Understanding dollars and cents

Money amounts are written with dollars on the left of the decimal point and cents on the right of the decimal point.

Here is the pattern:

$$\$\text{dollars}.\text{cents}$$

The cents part always has two digits.

• The first digit after the decimal point shows tens of cents.
• The second digit after the decimal point shows ones of cents.

So:

• \($2.50\) means 2 dollars and 50 cents.
• \($7.08\) means 7 dollars and 8 cents.
• \($0.99\) means 99 cents.

2. Why the decimal point matters

The decimal point is very important. It tells us where the dollars end and the cents begin.

Look at these two amounts:

• \($3.25\) means 3 dollars and 25 cents.
• 325¢ means 325 cents, which is the same as \(\$3.25\).

Writing money the right way makes it easy to read and understand.

3. The cents part must have two digits

When you write money, the cents part should always have two digits, even if there is only 1 cent digit to show.

For example:

• 5 dollars and 7 cents is written as \(\$5.07\), not \(\$5.7\).
• 9 dollars and 3 cents is written as \(\$9.03\), not \(\$9.3\).
• 6 dollars and 40 cents is written as \(\$6.40\).

If there are no dollars, we still write a 0 before the decimal point.

• 45 cents = \(\$0.45\)
• 8 cents = \(\$0.08\)

If there are no cents, we still write two zeros after the decimal point.

• 4 dollars = \(\$4.00\)
• 12 dollars = \(\$12.00\)

4. How to read dollar and cent notation

To read a money amount, follow these steps:

1. Look at the number before the decimal point. That tells the dollars.
2. Look at the two digits after the decimal point. That tells the cents.
3. Say the amount as “___ dollars and ___ cents.”

Examples:

• \($8.42\) = 8 dollars and 42 cents
• \($1.05\) = 1 dollar and 5 cents
• \($0.60\) = 60 cents

5. How to write dollar and cent notation

To write a money amount, follow these steps:

1. Write the dollar sign: \(\$\)
2. Write the number of dollars.
3. Write the decimal point.
4. Write two digits for the cents.

Examples:

• 3 dollars and 25 cents = \(\$3.25\)
• 10 dollars and 9 cents = \(\$10.09\)
• 72 cents = \(\$0.72\)

Worked Example 1

Read: \(\$6.14\)

Step 1: The number before the decimal is 6, so there are 6 dollars.

Step 2: The number after the decimal is 14, so there are 14 cents.

Answer: 6 dollars and 14 cents

Worked Example 2

Write: 4 dollars and 6 cents

Step 1: Write the dollar sign.

Step 2: Write the dollars: 4

Step 3: Write the decimal point.

Step 4: Write the cents as two digits. 6 cents is 06.

$$\$4.06$$

Answer: \(\$4.06\)

Worked Example 3

Write: 93 cents

Step 1: There are no whole dollars, so write 0 dollars.

Step 2: Write the decimal point.

Step 3: Write 93 for the cents.

$$\$0.93$$

Answer: \(\$0.93\)

Worked Example 4

Read: \(\$12.00\)

Step 1: The number before the decimal is 12, so there are 12 dollars.

Step 2: The number after the decimal is 00, so there are 0 cents.

Answer: 12 dollars

6. Watch out for common mistakes

• Do not forget the decimal point.
• Do not forget the dollar sign when writing money.
• Do not write only one digit for cents. Write two digits.
• Remember to use a 0 before the decimal if the amount is less than 1 dollar.

Here are some corrections:

• Wrong: \(\$3.5\) → Right: \(\$3.50\)
• Wrong: \(\$.75\) → Right: \(\$0.75\)
• Wrong: \(\$7.4\) → Right: \(\$7.40\)

7. Quick practice ideas

Try reading and writing these amounts:

• \($2.18\)
• \($0.04\)
• \($9.70\)
• 5 dollars and 32 cents
• 11 dollars and 1 cent
• 67 cents

8. Summary

Money is written with a dollar sign, a number of dollars, a decimal point, and two digits for cents.

The decimal point separates dollars from cents. The digits before the decimal show dollars, and the two digits after the decimal show cents.

Always remember:

• Use two digits for cents.
• Use 0 dollars for amounts less than 1 dollar.
• Use 00 cents when there are no cents.

When you can read and write money amounts correctly, you are using dollar and cent notation the right way.

Making Change by Counting Up is a smart and easy way to figure out how much change someone should get back after buying something.

Instead of subtracting, we count up from the price of the item to the amount the customer paid. This is the same way many cashiers think when giving change.

For example, if something costs 63¢ and a customer gives 1 dollar, we can count up from 63¢ to 100¢. The amount we count is the change.

Why counting up helps:

• It matches how money is used in real life.
• It can feel easier than subtraction.
• It helps us use coins and bills in a careful, organized way.

Step 1: Start at the price.

Say the item costs 68¢ and the customer gives 1 dollar.

We start at 68¢.

Step 2: Count up to the next easy number.

Easy numbers are usually the next 10, the next dollar, or both.

From 68¢, the next 10 is 70¢. To get from 68¢ to 70¢, we add 2¢.

Then from 70¢ to 100¢, we add 30¢.

Step 3: Add the jumps together.

We made jumps of 2¢ and 30¢.

$$2\text{¢} + 30\text{¢} = 32\text{¢}$$

So the change is 32¢.

A helpful way to think:

• First, get to the next 10.
• Next, get to the next dollar.
• Then add the jumps.

Sometimes, if the price is already close to a dollar amount, you may only need one or two jumps.

Money facts to remember:

• 1 dollar = 100 cents
• A dime = 10¢
• A nickel = 5¢
• A penny = 1¢
• A quarter = 25¢

These facts help us give change using real coins.

Worked Example 1

An apple costs 41¢. The customer pays with 50¢. How much change should the customer get?

Start at 41¢ and count up to 50¢.

From 41¢ to 50¢ is 9¢.

$$50\text{¢} - 41\text{¢} = 9\text{¢}$$

But we found it by counting up, not subtracting.

Change: 9¢

Worked Example 2

A notebook costs 76¢. The customer pays with 1 dollar. How much change should the customer get?

Start at 76¢.

1. Count up to 80¢: that is 4¢.
2. Count up from 80¢ to 100¢: that is 20¢.

Now add the jumps:

$$4\text{¢} + 20\text{¢} = 24\text{¢}$$

Change: 24¢

Worked Example 3

A toy costs \(\$1.35\). The customer pays with \(\$2.00\). How much change should the customer get?

Start at \(\$1.35\).

1. Count up to \(\$1.40\): that is 5¢.
2. Count up to \(\$2.00\): that is 60¢.

Add the jumps:

$$5\text{¢} + 60\text{¢} = 65\text{¢}$$

Change: \(\$0.65\)

We can also say the customer gets 65¢ back.

Worked Example 4

A game costs \(\$2.47\). The customer pays with \(\$5.00\). How much change should the customer get?

Start at \(\$2.47\).

1. Count up to \(\$2.50\): 3¢
2. Count up to \(\$3.00\): 50¢
3. Count up to \(\$5.00\): \(\$2.00\)

Now add all the jumps:

$$3\text{¢} + 50\text{¢} + 2\text{ dollars} = 2\text{ dollars }53\text{¢}$$

Change: \(\$2.53\)

How to choose coins for change

After you know the total change, you can think about what coins to give.

If the change is 32¢, one way to give it is:

• 1 quarter = 25¢
• 1 nickel = 5¢
• 2 pennies = 2¢

$$25\text{¢} + 5\text{¢} + 2\text{¢} = 32\text{¢}$$

If the change is 24¢, one way to give it is:

• 2 dimes = 20¢
• 4 pennies = 4¢

$$20\text{¢} + 4\text{¢} = 24\text{¢}$$

Tips for counting up correctly

• Always start at the price, not the amount paid.
• Count up in small, easy jumps.
• Use friendly numbers like 10s and whole dollars.
• Add all your jumps at the end.
• Check that your start number plus your change equals the amount paid.

Let’s check one:

If an item costs 76¢ and the change is 24¢, then:

$$76\text{¢} + 24\text{¢} = 100\text{¢} = 1\text{ dollar}$$

That means the answer makes sense.

Common mistakes to avoid

• Do not start counting from the amount paid down to the price. Count up from the price.
• Do not forget one of your jumps.
• Be careful with dollars and cents. \(\$1.00\) means 100¢.
• If you jump to the next 10, make sure it really is the next number ending in 0.

Practice thinking

Ask yourself these questions:

• What is the price?
• What amount was paid?
• What easy number can I jump to next?
• How much was each jump?
• What is the total of all the jumps?

Summary

Making change by counting up means starting at the price and counting forward to the amount paid.

You can count to the next 10, then the next dollar, and add the jumps together.

This is a useful real-life money skill that helps you find change quickly and carefully.

Adding and Subtracting Money

We use money every day when we buy things, save money, or figure out how much change we get back. In this lesson, you will learn how to add money and subtract money correctly.

Money is written with a dollar sign and a decimal point. The number to the left of the decimal point shows dollars. The number to the right shows cents.

For example, \(\$3.45\) means 3 dollars and 45 cents.

Remember:

• 100 cents = \(\$1.00\)
• The decimal point must stay lined up.
• Write a zero in any empty place value.

Understanding dollars and cents

When you add or subtract money, think about place value. The digits mean different things depending on where they are.

• The digit just left of the decimal is the ones or dollars place.
• The first digit right of the decimal is the tenths place in math, but for money we think of it as dimes or tens of cents.
• The second digit right of the decimal is the hundredths place in math, but for money we think of it as cents.

Example: In \(\$5.27\), the 5 means 5 dollars, the 2 means 2 dimes or 20 cents, and the 7 means 7 cents.

How to add money

To add money amounts, line up the decimal points. Then add from right to left, just like regular addition.

1. Line up the decimal points.
2. Add the cents first.
3. If the cents total 100 or more, regroup 100 cents as 1 dollar.
4. Bring the dollar sign and decimal point down into the answer.

Worked Example 1: Adding two prices

A notebook costs \(\$2.35\) and a pencil case costs \(\$1.40\). How much do they cost together?

Start at the right:

• 5 cents + 0 cents = 5 cents
• 3 dimes + 4 dimes = 7 dimes
• 2 dollars + 1 dollar = 3 dollars

So, the total cost is \(\$3.75\).

Worked Example 2: Adding with regrouping

A toy car costs \(\$4.68\) and a ball costs \(\$2.57\). How much do they cost in all?

Let us add step by step:

• 8 cents + 7 cents = 15 cents. Write 5 cents and carry 1 dime.
• 6 dimes + 5 dimes + 1 carried dime = 12 dimes. Write 2 dimes and carry 1 dollar.
• 4 dollars + 2 dollars + 1 carried dollar = 7 dollars.

So, the total is \(\$7.25\).

How to subtract money

We subtract money when we want to know:

• how much change we get back,
• how much money is left, or
• how much more money we need.

To subtract money amounts, line up the decimal points. Then subtract from right to left.

1. Line up the decimal points.
2. Subtract the cents first.
3. If needed, regroup from the dollars or tens of cents place.
4. Bring the decimal point straight down.

Worked Example 3: Finding change

You have \(\$5.00\). You buy a snack for \(\$2.45\). How much money is left?

Here is how:

• We cannot do 0 cents - 5 cents, so we regroup.
• Think of \(\$5.00\) as 4 dollars and 100 cents.
• 100 cents - 45 cents = 55 cents
• 4 dollars - 2 dollars = 2 dollars

So, you have \(\$2.55\) left.

Worked Example 4: Money left after two purchases

You have \(\$10.00\). You buy a book for \(\$3.29\) and markers for \(\$2.56\). How much money is left?

First, add the cost of the two items.

Now subtract that total from \(\$10.00\).

So, after buying both items, you have \(\$4.15\) left.

Helpful tips

• Always line up decimal points. This keeps dollars under dollars and cents under cents.
• Write zeros when needed. For example, write \(\$5\) as \(\$5.00\).
• Read the question carefully. If it asks for the total, add. If it asks how much is left or how much change, subtract.
• Check if your answer makes sense. If you buy things, the total should be more than each item. If you subtract, the answer should be less than what you started with.

Words to watch for

• Add: total, altogether, in all, combined
• Subtract: left, change, how much more, how much remains

Try thinking about these:

• If a game costs \(\$6.25\) and a puzzle costs \(\$3.50\), you would add to find the total cost.
• If you have \(\$8.00\) and spend \(\$5.75\), you would subtract to find how much is left.

Summary

Adding and subtracting money is like regular addition and subtraction, but you must be careful with decimal points and cents. Line up the decimal points, use zeros when needed, and regroup when necessary.

When you want the total cost, add. When you want change or the amount left, subtract. With practice, you will get faster and more confident with money math.

Profit, Income, and Expenses

Have you ever imagined running a lemonade stand, selling cookies, or making crafts to sell? When you sell something, money comes in. But you may also need to spend money to buy what you need. In math, we can use simple subtraction to find out if we earned money in the end.

In this lesson, you will learn three important money words: income, expenses, and profit. You will also learn how to find profit by subtracting expenses from income.

What is income?

Income is the money you receive. It is the money that comes in. If you sell 5 cups of lemonade and collect money from customers, that money is your income.

What are expenses?

Expenses are the money you spend. It is the money that goes out. If you buy lemons, sugar, and cups, the money you pay for those things is your expense.

What is profit?

Profit is the money left after you pay your expenses. To find profit, subtract expenses from income.

Here is the rule:

$$\text{Profit} = \text{Income} - \text{Expenses}$$

If the income is more than the expenses, you have a profit. That means you earned money.

If the income and expenses are the same, the profit is \(0\). That means you did not earn extra money, but you also did not lose money.

If the expenses are more than the income, then there is no profit. You spent more money than you received.

How to find profit

1. Find the income.
2. Find the expenses.
3. Subtract: \(\text{income} - \text{expenses}\).
4. The answer is the profit.

Worked Example 1

Lina sells lemonade and collects \(\$10\). She spent \(\$4\) on lemons and cups. What is her profit?

Step 1: Income = \(\$10\)

Step 2: Expenses = \(\$4\)

Step 3: Subtract

$$10 - 4 = 6$$

Answer: Lina’s profit is \(\$6\).

Worked Example 2

Omar sells 8 pencils for a total of \(\$12\). He spent \(\$7\) to buy the pencils. What is his profit?

Step 1: Income = \(\$12\)

Step 2: Expenses = \(\$7\)

Step 3: Subtract

$$12 - 7 = 5$$

Answer: Omar’s profit is \(\$5\).

Worked Example 3

Sara sells homemade bookmarks and gets \(\$9\). She spent \(\$9\) on paper and markers. What is her profit?

Step 1: Income = \(\$9\)

Step 2: Expenses = \(\$9\)

Step 3: Subtract

$$9 - 9 = 0$$

Answer: Sara’s profit is \(\$0\). She did not earn extra money.

Worked Example 4

Ben sells snacks and gets \(\$6\). He spent \(\$8\) to buy the snacks. Did Ben make a profit?

Step 1: Income = \(\$6\)

Step 2: Expenses = \(\$8\)

Step 3: Compare the numbers

Since \(6 < 8\), Ben spent more than he received.

You could also subtract:

$$6 - 8$$

For 3rd Grade, it is enough to say Ben has no profit because his expenses are greater than his income.

Helpful money words to remember

• Income = money in
• Expenses = money out
• Profit = money left over

Look at the whole story

Sometimes a word problem gives you a money story. Ask yourself:

• How much money came in?
• How much money was spent?
• What is left after subtracting?

That helps you decide which number is income and which number is expense.

Try thinking about this example

Ava sold juice for \(\$15\). She spent \(\$6\) on fruit and cups.

Income = \(\$15\)

Expenses = \(\$6\)

$$15 - 6 = 9$$

So Ava’s profit is \(\$9\).

Common mistake to avoid

Do not add income and expenses together to find profit. Profit means what is left after spending, so you need to subtract.

For example, if income is \(\$11\) and expenses are \(\$3\):

$$11 - 3 = 8$$

The profit is \(\$8\), not \(\$14\).

Summary

Income is the money you get. Expenses are the money you spend. Profit is the money left after you subtract expenses from income.

Remember the math rule:

$$\text{Profit} = \text{Income} - \text{Expenses}$$

When income is greater than expenses, you make a profit. When they are equal, the profit is \(0\). When expenses are greater, there is no profit.

Needs, Wants, and Budgeting

Money helps us buy things. But we cannot always buy everything we want. That is why it is important to learn about needs, wants, and budgets.

When we understand these ideas, we can make smart choices with money.

What is a need?

A need is something we must have to live safely and stay healthy. Needs are the things that are most important.

• food
• water
• a home or shelter
• clothes
• medicine
• school supplies for learning

If something is a need, we should usually pay for it before we buy other things.

What is a want?

A want is something we would like to have, but we can still live without it. Wants can be fun, tasty, or exciting, but they are not as important as needs.

• toys
• video games
• candy
• stickers
• a new soccer ball when the old one still works

Wants are not bad. It is okay to have wants. But when money is limited, needs come first.

What is a budget?

A budget is a plan for how to use money. A budget helps us decide what we can buy and what we may need to wait to buy later.

If you have only a certain amount of money, you must check whether your choices fit inside that amount.

For example, if you have \(\$10\), your total spending must be \(\$10\) or less.

We can write that like this:

$$\text{total cost} \le \text{budget}$$

The symbol \(\le\) means less than or equal to.

How to use a budget

1. Find out how much money you have.
2. List the things you want or need to buy.
3. Decide which items are needs and which are wants.
4. Add the prices together.
5. Check whether the total is within your budget.
6. If the total is too high, take away some wants first.

Main idea: Buy needs first. Then, if there is money left, you may be able to buy some wants.

Worked Example 1: Sorting needs and wants

Mila is going shopping. She sees these items:

• notebook for school
• apple
• toy car
• candy

Let us sort them.

• Needs: notebook for school, apple
• Wants: toy car, candy

The notebook helps with learning, and the apple is food. The toy car and candy are things Mila would like, but does not have to have.

Worked Example 2: Does it fit the budget?

Jayden has \(\$8\). He wants to buy:

• a sandwich for \(\$5\)
• a juice for \(\$2\)
• a sticker for \(\$1\)

First, add the costs:

$$5 + 2 + 1 = 8$$

Jayden's total cost is \(\$8\).

His budget is \(\$8\), so:

$$8 \le 8$$

Yes, the items fit the budget. He can buy all three items.

Worked Example 3: Too much money is being spent

Sofia has a budget of \(\$9\). She chooses:

• school folder for \(\$3\)
• pencils for \(\$2\)
• ice cream for \(\$4\)
• bouncy ball for \(\$2\)

Now add the prices:

$$3 + 2 + 4 + 2 = 11$$

Sofia wants to spend \(\$11\), but her budget is only \(\$9\).

Since \(\$11\) is more than \(\$9\), the items do not fit the budget.

$$11 > 9$$

What should she do? She should keep the needs first.

• school folder = need
• pencils = need
• ice cream = want
• bouncy ball = want

The needs cost:

$$3 + 2 = 5$$

After buying the needs, she has:

$$9 - 5 = 4$$

She has \(\$4\) left.

Now she can choose wants that cost \(\$4\) or less. She can buy the ice cream for \(\$4\), but then she cannot also buy the bouncy ball.

Worked Example 4: Choosing the best plan

Noah has \(\$7\). He needs crayons for school that cost \(\$3\). He wants one snack and one small toy.

Here are his choices:

• crayons: \(\$3\)
• snack A: \(\$2\)
• snack B: \(\$1\)
• toy A: \(\$4\)
• toy B: \(\$2\)

First, Noah buys the need.

Money left:

$$7 - 3 = 4$$

Now he has \(\$4\) for a snack and a toy.

Try choice 1: snack A and toy A

$$2 + 4 = 6$$

That is too much, because Noah only has \(\$4\) left.

Try choice 2: snack A and toy B

$$2 + 2 = 4$$

This works exactly.

Try choice 3: snack B and toy A

$$1 + 4 = 5$$

That is too much.

Try choice 4: snack B and toy B

$$1 + 2 = 3$$

This also works.

So Noah can choose:

• snack A and toy B, or
• snack B and toy B

Both choices fit the budget after he buys the crayons.

Helpful tips for solving problems

• Circle the budget amount first.
• Underline the prices of the items.
• Mark each item as N for need or W for want.
• Add carefully.
• If the total is too high, remove wants before removing needs.
• Check your answer at the end.

Let us remember

• A need is something important that we must have.
• A want is something we would like to have.
• A budget is a plan for spending money.
• We should buy needs first.
• The total cost must be the same as or less than the budget.

When you see a spending problem, ask yourself:

1. What is the budget?
2. Which items are needs?
3. Which items are wants?
4. What is the total cost?
5. Does the total fit the budget?

Learning to use money wisely is an important math skill. When you know the difference between needs and wants, you can make smart choices and stay within your budget.