Basic Math

Money and time | Fifth Grade

Money and Time - Fifth Grade Math

Complete Notes & Formulas

1. Add and Subtract Money Amounts

Money Notation

Money is written with a dollar sign ($) and two decimal places for cents.

Format: $XX.XX

Example: $25.50 (Twenty-five dollars and fifty cents)

Rules for Adding Money

Step 1: Write the amounts in columns

Step 2: Line up the decimal points (VERY IMPORTANT!)

Step 3: Add the cents first (hundredths place)

Step 4: Add the dimes (tenths place)

Step 5: Add the dollars

Step 6: Write the $ sign in the answer

Rules for Subtracting Money

Step 1: Write the larger amount first

Step 2: Line up the decimal points

Step 3: Subtract from right to left (cents, then dollars)

Step 4: Borrow from the next place value if needed

Step 5: Write the $ sign in the answer

Examples

Addition Example: $45.75 + $23.50

  $45.75
+ $23.50
--------
  $69.25
                

Subtraction Example: $82.40 - $37.65

  $82.40
- $37.65
--------
  $44.75
                

Important Reminder

Always keep two decimal places in your answer. If the answer is $45.5, write it as $45.50

2. Add and Subtract Money: Word Problems

Key Words for Money Operations

OperationKey Words
AdditionTotal, altogether, combined, spent in all, sum
SubtractionChange, left over, remaining, difference, how much more

Steps to Solve

Step 1: Read the problem carefully

Step 2: Identify the money amounts

Step 3: Decide: Add or Subtract?

Step 4: Write the equation

Step 5: Solve and check if the answer makes sense

Examples

"Emma bought a book for $12.75 and a pen for $3.25. How much did she spend in total?"

Identify: Two amounts to add

Equation: $12.75 + $3.25 = ?

Solution: $12.75 + $3.25 = $16.00

Answer: Emma spent $16.00

"Jack had $50.00. He bought a toy for $28.75. How much money does he have left?"

Identify: Money left = subtract

Equation: $50.00 - $28.75 = ?

Solution: $50.00 - $28.75 = $21.25

Answer: Jack has $21.25 left

3. Add and Subtract Money: Multi-Step Word Problems

What are Multi-Step Problems?

Problems that require more than one operation (add and subtract) to find the answer.

Strategy

• Break the problem into smaller steps

• Solve one step at a time

• Use each answer in the next step

Example

"Sophia went to the mall with $100.00. She bought a shirt for $24.50, shoes for $45.75, and a hat for $12.00. How much money does she have left?"

Step 1: Find total spent

$24.50 + $45.75 + $12.00 = $82.25

Step 2: Subtract from original amount

$100.00 - $82.25 = $17.75

Answer: Sophia has $17.75 left

4. Multiply Money Amounts

When Do We Multiply Money?

When buying multiple items of the same price, or finding total cost for repeated purchases.

Formula

Total Cost = Price per Item × Number of Items

Steps to Multiply Money

Step 1: Ignore the $ and decimal point temporarily

Step 2: Multiply the numbers

Step 3: Count decimal places in the money amount (always 2)

Step 4: Place decimal point 2 places from the right in the answer

Step 5: Add the $ sign

Examples

Example 1: $7.25 × 4

• Ignore decimal: 725 × 4 = 2900

• Place decimal 2 places from right: 29.00

• Answer: $29.00

Example 2: $15.50 × 6

• 1550 × 6 = 9300

• Place decimal: 93.00

• Answer: $93.00

5. Multiply Money Amounts: Word Problems

Key Words for Multiplication

Each (price per item)

Per (cost per unit)

Times (multiple purchases)

Total cost for (multiple items)

Example

"A movie ticket costs $8.75. If Alex buys 5 tickets for his family, how much does he pay in total?"

Given: Price per ticket = $8.75, Number = 5

Equation: $8.75 × 5 = ?

Solve: $8.75 × 5 = $43.75

Answer: Alex pays $43.75 in total

6. Multiply Money Amounts: Multi-Step Word Problems

Example

"A bakery sells cupcakes for $2.50 each and cookies for $1.75 each. If Maria buys 6 cupcakes and 8 cookies, how much does she spend in total?"

Step 1: Find cost of cupcakes

$2.50 × 6 = $15.00

Step 2: Find cost of cookies

$1.75 × 8 = $14.00

Step 3: Add both amounts

$15.00 + $14.00 = $29.00

Answer: Maria spends $29.00 in total

7. Divide Money Amounts

When Do We Divide Money?

• Finding price per item
Splitting costs equally
• Finding how many items can be bought

Formula

Price per Item = Total Cost ÷ Number of Items

Each Person Pays = Total Cost ÷ Number of People

Steps to Divide Money

Step 1: Set up the division problem

Step 2: Keep the decimal point in the quotient above the dividend's decimal

Step 3: Divide as usual

Step 4: Add zeros after the decimal if needed

Step 5: Add the $ sign to the answer

Examples

Example 1: $36.00 ÷ 4

• 36 ÷ 4 = 9

• Keep decimal: 9.00

• Answer: $9.00

Example 2: $45.50 ÷ 7

• 455 ÷ 7 = 65

• Place decimal: 6.50

• Answer: $6.50

8. Divide Money Amounts: Word Problems

Key Words for Division

Each person pays

Shared equally

Split evenly

Divided among

Price per item

Example

"Four friends split the cost of a $52.00 pizza equally. How much does each person pay?"

Given: Total = $52.00, People = 4

Equation: $52.00 ÷ 4 = ?

Solve: $52.00 ÷ 4 = $13.00

Answer: Each person pays $13.00

9. Price Lists

What is a Price List?

A price list is a table showing items and their prices. You use it to find costs and calculate totals.

How to Use a Price List

Step 1: Find the item on the list

Step 2: Look at its price

Step 3: If buying multiple items, multiply price × quantity

Step 4: Add all item costs for the total

Example Price List

ItemPrice
Apple$0.75
Orange$1.25
Banana (bunch)$2.50
Milk (gallon)$4.25

Problem: Find the cost of 3 apples and 2 oranges.

Apples: $0.75 × 3 = $2.25

Oranges: $1.25 × 2 = $2.50

Total: $2.25 + $2.50 = $4.75

10. Unit Prices

What is a Unit Price?

A unit price is the cost of one single item or one unit of measurement (per pound, per gallon, per item, etc.)

Unit Price Formula

Unit Price = Total Cost ÷ Number of Units

Why is Unit Price Important?

• Helps compare prices of different package sizes

• Shows which is the better deal

• Used in grocery shopping

Steps to Find Unit Price

Step 1: Identify the total cost

Step 2: Identify the number of units

Step 3: Divide: Total Cost ÷ Number of Units

Step 4: Write answer with "per" (per pound, per item, etc.)

Examples

Example 1: A pack of 8 pencils costs $4.00. What is the unit price per pencil?

Formula: Unit Price = Total Cost ÷ Number of Items

Calculation: $4.00 ÷ 8 = $0.50

Answer: $0.50 per pencil

Example 2: 5 pounds of apples cost $7.50. What is the unit price per pound?

Calculation: $7.50 ÷ 5 = $1.50

Answer: $1.50 per pound

Example 3: Comparing Prices

Which is a better deal?

• Brand A: 6 cookies for $3.00

• Brand B: 10 cookies for $4.50

Brand A: $3.00 ÷ 6 = $0.50 per cookie

Brand B: $4.50 ÷ 10 = $0.45 per cookie

Answer: Brand B is the better deal ($0.45 < $0.50)

11. Find the Number of Each Type of Coin

U.S. Coin Values

CoinValueSymbol
Penny1 cent$0.01 or 1¢
Nickel5 cents$0.05 or 5¢
Dime10 cents$0.10 or 10¢
Quarter25 cents$0.25 or 25¢
Half Dollar50 cents$0.50 or 50¢
Dollar Coin100 cents$1.00 or 100¢

Strategy for Coin Problems

Step 1: Identify what you know (total value, total number of coins, or relationships)

Step 2: Set up equations using coin values

Step 3: Use trial and error or algebra

Step 4: Check that your answer matches all conditions

Example

"You have 8 coins that total $1.00. The coins are only quarters and nickels. How many of each coin do you have?"

Let's try combinations:

Total coins = 8, Total value = $1.00 (100¢)

Try 1: 4 quarters, 4 nickels

• Quarters: 4 × 25¢ = 100¢

• Nickels: 4 × 5¢ = 20¢

• Total: 120¢ ✗ (Too much)

Try 2: 3 quarters, 5 nickels

• Quarters: 3 × 25¢ = 75¢

• Nickels: 5 × 5¢ = 25¢

• Total: 100¢ ✓ (Correct!)

Answer: 3 quarters and 5 nickels

12. Convert Time Units

Time Conversion Chart

Unit ConversionFormula
1 minute60 seconds
1 hour60 minutes
1 hour3,600 seconds
1 day24 hours
1 week7 days
1 year12 months
1 year52 weeks
1 year365 days (366 in leap year)

Conversion Rules

Large Unit → Small Unit: MULTIPLY

Small Unit → Large Unit: DIVIDE

Conversion Formulas

Minutes to Seconds: Minutes × 60 = Seconds

Seconds to Minutes: Seconds ÷ 60 = Minutes

Hours to Minutes: Hours × 60 = Minutes

Minutes to Hours: Minutes ÷ 60 = Hours

Days to Hours: Days × 24 = Hours

Hours to Days: Hours ÷ 24 = Days

Weeks to Days: Weeks × 7 = Days

Days to Weeks: Days ÷ 7 = Weeks

Examples

Example 1: Convert 5 minutes to seconds

Formula: Minutes × 60 = Seconds

Calculation: 5 × 60 = 300 seconds

Example 2: Convert 180 minutes to hours

Formula: Minutes ÷ 60 = Hours

Calculation: 180 ÷ 60 = 3 hours

Example 3: Convert 3 hours to seconds

Step 1: Hours to minutes: 3 × 60 = 180 minutes

Step 2: Minutes to seconds: 180 × 60 = 10,800 seconds

OR use direct formula: 3 × 3,600 = 10,800 seconds

Example 4: Convert 2 weeks to days

Formula: Weeks × 7 = Days

Calculation: 2 × 7 = 14 days

Example 5: Convert 48 hours to days

Formula: Hours ÷ 24 = Days

Calculation: 48 ÷ 24 = 2 days

Quick Reference Summary

Money Operations

Add/Subtract: Line up decimal points

Multiply: Total Cost = Price × Quantity

Divide: Unit Price = Total ÷ Quantity

• Always write money with $ and two decimal places

Coin Values (Memorize!)

• Penny = | Nickel = | Dime = 10¢ | Quarter = 25¢

Time Conversions (Memorize!)

• 1 min = 60 sec | 1 hr = 60 min | 1 day = 24 hrs | 1 week = 7 days

💡 Important Tips to Remember

Money always has 2 decimal places ($5.00, not $5)

Line up decimal points when adding or subtracting money

Unit price helps compare which item is a better deal

Quarter = 25¢ is the most commonly used coin in word problems

60 is the magic number for time (60 seconds, 60 minutes)

Larger to smaller units → Multiply

Smaller to larger units → Divide

✓ Always include units in your answer (dollars, hours, etc.)

Master Money and Time! 💰⏰

Practice daily with real-life situations - shopping, cooking, and planning!

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