Solved Exercises on Counting Money in Grade 2

Master counting money: adding coins and bills, making calculations, and money management through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Adding coins
Exercise 1
Count the total amount:
3 quarters, 2 dimes, 1 nickel, 4 pennies
Definition:

Counting money: Adding up the value of different coins and bills to find the total amount.

Counting method:
  1. Group same coins together
  2. Multiply number of coins by their value
  3. Add all amounts together
  4. Express in dollars and cents
Q
Quarter
x3 = $0.75
D
Dime
x2 = $0.20
N
Nickel
x1 = $0.05
P
Penny
x4 = $0.04
Step 1: Count quarters

3 quarters × $0.25 = $0.75

Step 2: Count dimes

2 dimes × $0.10 = $0.20

Step 3: Count nickel

1 nickel × $0.05 = $0.05

Step 4: Count pennies

4 pennies × $0.01 = $0.04

Step 5: Add all amounts

$0.75 + $0.20 + $0.05 + $0.04 = $1.04

Total: $1.04
Final answer:

The total amount is $1.04 (one dollar and four cents).

Applied rules:

• Multiplication: Number of coins × value per coin

• Addition: Add all amounts to get total

• Organization: Group same coins for easier counting

2 Shopping scenario
Exercise 2
You have 2 quarters, 3 dimes, and 5 pennies. A candy costs $0.75. Do you have enough money?
Definition:

Money comparison: Determining if the amount of money you have is sufficient to buy something.

Q
Quarter
x2 = $0.50
D
Dime
x3 = $0.30
P
Penny
x5 = $0.05
Step 1: Count quarters

2 quarters × $0.25 = $0.50

Step 2: Count dimes

3 dimes × $0.10 = $0.30

Step 3: Count pennies

5 pennies × $0.01 = $0.05

Step 4: Add all amounts

$0.50 + $0.30 + $0.05 = $0.85

Step 5: Compare to cost

You have $0.85 and candy costs $0.75

$0.85 > $0.75, so YES, you have enough money

Yes, you have $0.85, which is more than $0.75
Final answer:

Yes, you have enough money. You have $0.85 and the candy costs $0.75.

Applied rules:

• Comparison: Your money ≥ cost of item = enough money

• Real-world application: Use math to make purchasing decisions

• Money management: Know what you can afford

3 Making change
Exercise 3
You buy a toy that costs $1.25. You pay with a $5 bill. How much change should you get back?
Definition:

Change: The money returned to you when you pay more than the cost of an item.

$5.00
Paid
$1.25
Cost
$3.75
Change
Step 1: Identify what you paid

You paid with a $5.00 bill

Step 2: Identify the cost

The toy costs $1.25

Step 3: Subtract to find change

$5.00 - $1.25 = $3.75

Step 4: Verify your answer

Cost + Change = Amount Paid

$1.25 + $3.75 = $5.00 ✓

Change: $3.75
Final answer:

You should get $3.75 in change back.

Applied rules:

• Subtraction: Amount paid - cost = change

• Verification: Cost + change should equal amount paid

• Money sense: Understand the relationship between payment and change

Rules and methods, laws,...
\text{Total} = \sum(\text{Quantity} \times \text{Value})
Money Addition
Coin 1
Penny = \$0.01
1 cent
Coin 2
Nickel = \$0.05
5 cents
Coin 3
Dime = \$0.10
10 cents
Coin 4
Quarter = \$0.25
25 cents
Key definitions:

Total: The final amount when you add all money together

Change: Money returned when you pay more than the cost

Comparison: Determining if you have enough money

Regrouping: Organizing money into groups for easier counting

Complete counting methodology:
  1. Sort: Put same coins together
  2. Count: Count how many of each type
  3. Multiply: Number of coins × value per coin
  4. Add: Sum all amounts together
  5. Check: Verify your calculation
Tip 1: Start with the highest value coins (quarters) and work down to pennies.
Tip 2: Count quarters by 25s: 25, 50, 75, 100...
Tip 3: Count dimes by 10s: 10, 20, 30, 40...
Tip 4: Count nickels by 5s: 5, 10, 15, 20...
Common errors: Miscounting coins, forgetting to convert cents to dollars, adding instead of subtracting for change.
Memory aids: "Quarters are 25 cents, dimes are 10, nickels are 5, pennies are 1."
Rules to know by heart:

• Penny = $0.01, Nickel = $0.05, Dime = $0.10, Quarter = $0.25

• Change = Amount Paid - Cost of Item

• Have Enough Money = Your Money ≥ Cost

• Total = Sum of all individual amounts

Solution: Exercises 4 to 5
4 Mixed counting
Exercise 4
You have 1 dollar bill, 4 quarters, 1 dime, 2 nickels, and 8 pennies. How much money do you have?
Definition:

Mixed counting: Adding together both coins and bills to find the total amount of money.

$1.00
Bill
$1.00
4Q = $1.00
$0.10
1D = $0.10
$0.10
2N = $0.10
$0.08
8P = $0.08
Step 1: Count the dollar bill

1 dollar bill = $1.00

Step 2: Count the quarters

4 quarters × $0.25 = $1.00

Step 3: Count the dime

1 dime × $0.10 = $0.10

Step 4: Count the nickels

2 nickels × $0.05 = $0.10

Step 5: Count the pennies

8 pennies × $0.01 = $0.08

Step 6: Add all amounts together

$1.00 + $1.00 + $0.10 + $0.10 + $0.08 = $2.28

Total: $2.28
Final answer:

You have $2.28 in total.

Applied rules:

• Group by type: Separate bills from coins

• Multiply then add: Count each type separately

• Combine totals: Add all groups together

5 Shopping scenario
Exercise 5
You want to buy a book for $3.50 and markers for $2.75. You have 2 five-dollar bills. Do you have enough money? How much will you have left?
Definition:

Multiple items: Calculating the total cost of several items and determining if you have enough money.

$3.50
Book
$2.75
Markers
$6.25
Total Cost
$10.00
You Have
Step 1: Add up the costs

Book: $3.50 + Markers: $2.75 = $6.25 total

Step 2: Determine how much money you have

2 five-dollar bills = 2 × $5.00 = $10.00

Step 3: Compare to see if you have enough

You have $10.00 and need $6.25

$10.00 > $6.25, so YES, you have enough

Step 4: Calculate remaining money

$10.00 - $6.25 = $3.75 left over

Yes, you have enough. $3.75 left over.
Final answer:

Yes, you have enough money. The total cost is $6.25 and you have $10.00, so you will have $3.75 left over.

Applied rules:

• Add costs: Find total for multiple items

• Compare amounts: Check if you have enough

• Subtract to find remainder: Money left over

Key Concepts and Memory Aids for Counting Money
\text{Change} = \text{Amount Paid} - \text{Cost}
Money Calculation
Key definitions:

Total: The sum of all money added together

Change: Money returned when you pay more than the cost

Comparison: Determining if you have enough money to buy something

Regrouping: Organizing money into groups for easier counting

Estimation: Getting close to the right answer without exact calculation

Step-by-step counting methods:
  1. Organize: Sort coins and bills by type
  2. Count: Tally how many of each type
  3. Calculate: Multiply quantity by value
  4. Sum: Add all calculated amounts
  5. Verify: Check your work
Memory trick: "Q-D-N-P" = Quarters (25¢), Dimes (10¢), Nickels (5¢), Pennies (1¢)"
Counting pattern: Count quarters by 25s, dimes by 10s, nickels by 5s.
Start high: Count largest value coins first for easier addition.
Verification: Always check your total by counting again or using different method.
Common mistakes: Miscounting coins, forgetting to convert cents to dollars, adding instead of subtracting for change, not grouping same coins together.
Quick facts: 4 quarters = $1.00, 10 dimes = $1.00, 20 nickels = $1.00, 100 pennies = $1.00.
Essential rules to memorize:

• Total = Sum of (quantity × value) for each coin/bill type

• Change = Amount Paid - Total Cost

• Enough Money = Your Money ≥ Total Cost

• Have Left Over = Your Money - Total Cost

Money Counting Infographic

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Coin Values

Penny = $0.01 = 1¢

Nickel = $0.05 = 5¢

Dime = $0.10 = 10¢

Quarter = $0.25 = 25¢

Formulas

Total = Σ(quantity × value)

Change = Paid - Cost

Left Over = Have - Spent

Verification

Cost + Change = Amount Paid

Spent + Left Over = Amount Started With

Money Counting Steps
1
Sort by type
2
Count each
3
Multiply
4
Add all

Questions & Answers

Question: When I count money, I sometimes get confused about whether to add or subtract. How do I know which to do?

Answer: Great question! Here's how to decide:

  • ADD (+): When combining different amounts of money together
  • SUBTRACT (-): When finding change or seeing how much is left

Adding examples:

  • Counting your total money: quarters + dimes + nickels
  • Finding total cost: book + pencil + eraser

Subtracting examples:

  • Finding change: paid - cost = change
  • Money left: started with - spent = left

Remember: ADD when putting together, SUBTRACT when taking away!

Question: I have 100 pennies. Is that the same as $1.00? How do I know?

Answer: Yes, 100 pennies is exactly the same as $1.00! Here's how to know:

Each penny is worth 1 cent, or $0.01

If you have 100 pennies: 100 × $0.01 = $1.00

This is a special relationship in our money system:

  • 100 pennies = $1.00
  • 20 nickels = $1.00
  • 10 dimes = $1.00
  • 4 quarters = $1.00

So yes, 100 pennies = $1.00! This is why we call $1.00 "one hundred cents."

Question: How can I quickly count a lot of coins without making mistakes?

Answer: Here are some strategies to count coins quickly and accurately:

  1. Sort first: Put all same coins together in separate piles
  2. Group by tens: Count coins in groups of 10 (especially for pennies)
  3. Count by multiples: Count quarters by 25s (25, 50, 75, 100...)
  4. Start with largest value: Count quarters first, then dimes, nickels, then pennies
  5. Double-check: Count once, then count again to verify

For example, if you have 23 quarters:

Count by 25s: 25, 50, 75... or think "4 quarters = $1.00", so 20 quarters = $5.00, plus 3 more = $5.75

Practice makes perfect - the more you count money, the faster you'll get!