Worksheets on Comparing Amounts of Money Year 2 in Grade 3

Master intermediate money comparison: counting coins and bills, comparing values, making change, and solving word problems through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Comparing coins and bills
Exercise 1
Which collection has more money?
Collection A: 1 dollar bill and 3 quarters
Collection B: 4 quarters and 2 dimes
Definition:

Money comparison: Finding which amount is greater by calculating total value of coins and bills

Comparison method:
  1. Separately calculate value of bills and coins
  2. Add up all values in each collection
  3. Compare the totals
Collection A
$1.75
Collection B
$1.20
Comparison
$1.75 > $1.20
Step 1: Calculate Collection A

1 dollar bill = $1.00
3 quarters = 3 × $0.25 = $0.75
Total A = $1.00 + $0.75 = $1.75

Step 2: Calculate Collection B

4 quarters = 4 × $0.25 = $1.00
2 dimes = 2 × $0.10 = $0.20
Total B = $1.00 + $0.20 = $1.20

Step 3: Compare the totals

$1.75 > $1.20, so Collection A has more money

Collection A ($1.75) has more money than Collection B ($1.20)
Final answer:

Collection A has more money because $1.75 > $1.20

Applied rules:

• Coin values: Quarter = $0.25, Dime = $0.10

• Bill values: Dollar bill = $1.00

• Counting: Multiply quantity by value of each coin/bill

2 Comparing mixed coin collections
Exercise 2
Who has more money?
Emma has 2 dollars, 1 quarter, 3 dimes, and 4 nickels.
Tom has 1 dollar, 3 quarters, 5 dimes, and 2 nickels.
Definition:

Complex comparison: Calculating total value of multiple types of coins and bills

Emma
$3.05
Tom
$2.45
Comparison
$3.05 > $2.45
Step 1: Calculate Emma's money

2 dollars = 2 × $1.00 = $2.00
1 quarter = 1 × $0.25 = $0.25
3 dimes = 3 × $0.10 = $0.30
4 nickels = 4 × $0.05 = $0.20
Total Emma = $2.00 + $0.25 + $0.30 + $0.20 = $2.75

Step 2: Calculate Tom's money

1 dollar = 1 × $1.00 = $1.00
3 quarters = 3 × $0.25 = $0.75
5 dimes = 5 × $0.10 = $0.50
2 nickels = 2 × $0.05 = $0.10
Total Tom = $1.00 + $0.75 + $0.50 + $0.10 = $2.35

Step 3: Compare the amounts

$2.75 > $2.35, so Emma has more money

Emma has $2.75 and Tom has $2.35, so Emma has more
Final answer:

Emma has more money because $2.75 > $2.35

Applied rules:

• Organize by type: Group same coins/bills together

• Calculate separately: Find value of each type

• Add all values: Get the total amount

3 Equal money amounts
Exercise 3
Which collections have the same amount of money?
Collection X: 1 dollar and 1 quarter
Collection Y: 5 quarters
Collection Z: 4 quarters and 5 dimes
Definition:

Equal amounts: Collections with the same total value

Collection X
$1.25
Collection Y
$1.25
Collection Z
$1.50
Step 1: Calculate Collection X

1 dollar = $1.00
1 quarter = $0.25
Total X = $1.00 + $0.25 = $1.25

Step 2: Calculate Collection Y

5 quarters = 5 × $0.25 = $1.25
Total Y = $1.25

Step 3: Calculate Collection Z

4 quarters = 4 × $0.25 = $1.00
5 dimes = 5 × $0.10 = $0.50
Total Z = $1.00 + $0.50 = $1.50

Step 4: Compare the amounts

Collection X = Collection Y = $1.25
Collection Z = $1.50 (different)

Collections X and Y both have $1.25, so they are equal
Final answer:

Collections X and Y have the same amount of money because both equal $1.25

Applied rules:

• Same value: Different coins can equal the same amount

• Equality: Use = symbol when amounts are equal

• Multiple comparisons: Compare all collections to find matches

Intermediate Money Values and Comparison Rules
$1.00 = 100¢
Money Conversion
Bill Values
$1 = 100¢
$5 = 500¢
Coin Values
Quarter = $0.25
Dime = $0.10
More Coin Values
Nickel = $0.05
Penny = $0.01
Key definitions:

Money: Currency used to buy goods and services

Bill: Paper money with face value

Coin: Metal money with specific value

Comparison methodology:
  1. Group by type: Separate bills from coins
  2. Count each type: How many of each bill/coin?
  3. Calculate value: Multiply quantity by denomination
  4. Find total: Add all values together
  5. Compare: Use >, <, or = symbols
Tip 1: Always organize money by type before counting.
Tip 2: Calculate bills first, then coins separately.
Tip 3: Write down each calculation to stay organized.
Tip 4: Double-check your addition for accuracy.
Bill values: $1, $5, $10, $20 bills are commonly used.
Coin values: Penny (1¢), Nickel (5¢), Dime (10¢), Quarter (25¢).
Money facts to know:

• $1.00 = 100¢

• 4 quarters = $1.00

• 10 dimes = $1.00

• 20 nickels = $1.00

• 100 pennies = $1.00

Solution: Exercises 4 to 5
4 Shopping comparison
Exercise 4
A toy costs $2.50. If Sarah has 2 dollars, 2 quarters, and 3 dimes, and Mike has 10 quarters, who has enough money to buy the toy?
Definition:

Enough money: Having equal or more money than the cost of an item

Toy Cost
$2.50
Sarah
$2.80
Mike
$2.50
Step 1: Calculate Sarah's money

2 dollars = 2 × $1.00 = $2.00
2 quarters = 2 × $0.25 = $0.50
3 dimes = 3 × $0.10 = $0.30
Total Sarah = $2.00 + $0.50 + $0.30 = $2.80

Step 2: Calculate Mike's money

10 quarters = 10 × $0.25 = $2.50
Total Mike = $2.50

Step 3: Compare with toy cost

Sarah: $2.80 > $2.50 (has enough)
Mike: $2.50 = $2.50 (has enough)

Both Sarah ($2.80) and Mike ($2.50) have enough money to buy the $2.50 toy
Final answer:

Both Sarah and Mike have enough money to buy the toy

Applied rules:

• Enough money: Amount ≥ cost of item

• Comparison: Use greater than or equal symbols

• Decision: Those with sufficient funds can purchase

5 Word problem with mixed operations
Exercise 5
Alex had 3 dollars and 4 quarters. He spent 1 dollar and 50 cents on lunch. His friend Bella had 2 dollars and 6 quarters. Who has more money left?
Definition:

Money left: Original amount minus amount spent

Alex Left
$2.50
Bella
$3.50
Comparison
$3.50 > $2.50
Step 1: Calculate Alex's original money

3 dollars = 3 × $1.00 = $3.00
4 quarters = 4 × $0.25 = $1.00
Total Alex = $3.00 + $1.00 = $4.00

Step 2: Calculate Alex's money after spending

Amount spent = $1.50
Alex left = $4.00 - $1.50 = $2.50

Step 3: Calculate Bella's money

2 dollars = 2 × $1.00 = $2.00
6 quarters = 6 × $0.25 = $1.50
Total Bella = $2.00 + $1.50 = $3.50

Step 4: Compare remaining amounts

$3.50 > $2.50, so Bella has more money

Bella has $3.50 which is more than Alex's $2.50
Final answer:

Bella has more money left because $3.50 > $2.50

Applied rules:

• Subtraction: Original amount minus spending gives remaining

• Multiple operations: Perform addition then subtraction

• Comparison: Compare final amounts

Money Comparison Laws, Methods, and Definitions - Year 2
$1.00 = 100¢
Money Conversion
Key definitions:

Money: Medium of exchange for goods and services

Value: The worth of coins, bills, or items

Comparison: Determining which amount is greater or lesser

Complete methodology:
  1. Organize money: Group bills and coins by type
  2. Count each type: How many of each bill/coin?
  3. Calculate value: Multiply quantity by denomination
  4. Find total: Add all values together
  5. Compare amounts: Use mathematical symbols
  6. Verify: Double-check calculations
Tip 1: Use skip counting for coins: 25, 50, 75 for quarters.
Tip 2: Draw circles around each bill/coin to keep track.
Tip 3: When comparing decimals, align decimal points.
Tip 4: Practice with real money to build confidence.
Common errors: Miscounting coins, forgetting decimal places, confusing symbols.
Real-world applications: Shopping, saving, budgeting, making change.
Money comparison rules:

• Organize money by type before counting

• Calculate bills first, then coins separately

• Use > (greater than), < (less than), = (equal to)

• To have enough money: amount ≥ cost of item

• Money left = original amount - amount spent

Money Visualization: Bill and Coin Values
Exercise 6: Bill and Coin Value Relationships
Bills and coins with their values:
Penny: 1 cent ($0.01)
Nickel: 5 cents ($0.05)
Dime: 10 cents ($0.10)
Quarter: 25 cents ($0.25)
Dollar: $1.00

Analysis: The chart shows the value relationships between different US currency.

  • Penny = 1 cent = $0.01
  • Nickel = 5 cents = $0.05
  • Dime = 10 cents = $0.10
  • Quarter = 25 cents = $0.25
  • Dollar = $1.00

Questions & Answers

Question: I have 1 dollar and 4 quarters. How much money do I have total?

Answer: Let's calculate step by step:

  • 1 dollar = $1.00
  • 4 quarters = 4 × $0.25 = $1.00
  • Total = $1.00 + $1.00 = $2.00

You have $2.00 total.

Remember: 4 quarters always equal 1 dollar, so 1 dollar + 4 quarters = 2 dollars!

Question: How do I know if I have enough money to buy something?

Answer: To determine if you have enough money:

  • Step 1: Count all your money (bills and coins)
  • Step 2: Look at the price of the item
  • Step 3: Compare: Your money ≥ Item price

If your money is greater than or equal to the item price, you have enough!

Example: You have $3.00 and the item costs $2.50
$3.00 ≥ $2.50, so you have enough money

Tip: It's okay to have extra money - that means you'll get change back!

Question: Why do we sometimes get change back when buying things?

Answer: We get change when we pay more than the exact price:

  • You give the store more money than the item costs
  • The store gives back the extra money
  • This is called "change" or "making change"

Example: Item costs $1.50, you give $2.00
Store gives back: $2.00 - $1.50 = $0.50 (50 cents change)

Change = Money given - Price of item

Always count your change to make sure it's correct!