Basic Math

Money | Third Grade

đź’° Money - Grade 3

Understanding Indian Currency!

Money is what we use to buy things! In India, we use Rupees (₹) as our currency.

We have coins and notes in different values!

🪙 Count Coins and Notes - Up to ₹500

Indian Coins

CoinValue
₹1 coin1 rupee
₹2 coin2 rupees
₹5 coin5 rupees
₹10 coin10 rupees
₹20 coin20 rupees

Indian Notes (Banknotes)

NoteValueColor
₹10 note10 rupeesChocolate Brown
₹20 note20 rupeesGreenish Yellow
₹50 note50 rupeesFluorescent Blue
₹100 note100 rupeesLavender
₹200 note200 rupeesBright Yellow
₹500 note500 rupeesStone Grey

How to Count Money:

  1. Sort by value - Group coins and notes of same value together
  2. Start with largest - Count biggest notes first (₹500, ₹200, ₹100...)
  3. Count each group - Add up all notes/coins of same value
  4. Add all together - Find the total amount

Example: Count the Money

You have: One ₹100 note, two ₹50 notes, one ₹10 note, and three ₹5 coins

Step 1: ₹100 note → \(1 \times 100 = ₹100\)
Step 2: ₹50 notes → \(2 \times 50 = ₹100\)
Step 3: ₹10 note → \(1 \times 10 = ₹10\)
Step 4: ₹5 coins → \(3 \times 5 = ₹15\)
Step 5: Total → \(100 + 100 + 10 + 15 = ₹225\) ✓

🔍 Which Picture Shows More?

How to Compare Money Amounts:

  1. Count each picture - Find the total amount in Picture A and Picture B
  2. Write both amounts - Write them clearly
  3. Compare the amounts - Which number is bigger?
  4. Choose the answer - The picture with more money!

Example:

PictureMoney ShownTotal
Picture ATwo ₹100 notes + One ₹50 note₹250
Picture BOne ₹200 note + Three ₹20 notes₹260

Answer: Picture B shows more money!
₹260 > ₹250

đź’ł Do You Have Enough Money?

Steps to Check:

  1. Find the price - How much does the item cost?
  2. Count your money - How much money do you have?
  3. Compare - Is your money ≥ (greater than or equal to) the price?
  4. Answer:
    • If your money ≥ price → YES, you have enough! âś“
    • If your money < price → NO, you need more money âś—

Examples:

Example 1: Buying a Toy

Price of toy: ₹350
Money you have: Two ₹200 notes = ₹400

Compare: ₹400 > ₹350
Answer: YES! You have enough money! âś“
Extra: You will have ₹50 left over.

Example 2: Buying a Book

Price of book: ₹625
Money you have: One ₹500 note + One ₹100 note = ₹600

Compare: ₹600 < ₹625
Answer: NO! You need ₹25 more. ✗

Formula:

If \(\text{Money you have} \geq \text{Price}\), then YES!
If \(\text{Money you have} < \text{Price}\), then NO!

đź’µ Making Change

What is Change?

Change is the money you get back when you pay more than the price of an item!

\(\text{Change} = \text{Money Given} - \text{Price}\)

Methods to Find Change:

Method 1: Subtraction

Subtract the price from the money given

Example:
Item costs: ₹175
You give: ₹200
Change: \(200 - 175 = ₹25\) ✓

Method 2: Counting Up

Start from the price and count up to the money given

Example:
Item costs: ₹235
You give: ₹500

Count up:
₹235 → +₹5 → ₹240
₹240 → +₹10 → ₹250
₹250 → +₹50 → ₹300
₹300 → +₹200 → ₹500

Change: \(5 + 10 + 50 + 200 = ₹265\) ✓

Practice Problems:

PriceMoney GivenChange
₹45₹50₹5
₹180₹200₹20
₹425₹500₹75

⚖️ Inequalities with Money

Comparison Symbols:

\(>\) means "greater than" (more money)
\(<\) means "less than" (less money)
\(=\) means "equal to" (same amount)
\(\geq\) means "greater than or equal to"
\(\leq\) means "less than or equal to"

How to Compare Money:

  1. Find both amounts - Calculate the total of each side
  2. Compare the numbers - Which is bigger?
  3. Choose the correct symbol - Use >, <, or =

Examples:

Example 1:
₹250 ______ ₹300
Answer: ₹250 \(<\) ₹300 ✓

Example 2:
Two ₹100 notes ______ ₹200
\(2 \times 100 = 200\)
Answer: ₹200 \(=\) ₹200 ✓

Example 3:
₹500 ______ Three ₹100 notes
\(3 \times 100 = 300\)
Answer: ₹500 \(>\) ₹300 ✓

đź’ˇ Tip: The arrow always points to the smaller amount!

📊 Put Money Amounts in Order

Two Types of Ordering:

1. Ascending Order (smallest to largest)
• From least money to most money
• Numbers get bigger →

2. Descending Order (largest to smallest)
• From most money to least money
• Numbers get smaller →

Steps to Order Money:

  1. Find all amounts - Calculate each total if needed
  2. Compare the amounts - Which is smallest? Which is largest?
  3. Arrange in order - Follow ascending or descending as asked

Examples:

Example 1: Ascending Order

Given amounts: ₹450, ₹120, ₹380, ₹200

Ascending Order (smallest to largest):
₹120, ₹200, ₹380, ₹450 ✓

Example 2: Descending Order

Given amounts: ₹65, ₹180, ₹95, ₹150

Descending Order (largest to smallest):
₹180, ₹150, ₹95, ₹65 ✓

➕➖ Add and Subtract Money Amounts

Adding Money

\(\text{Total} = \text{Amount 1} + \text{Amount 2}\)

Example: Addition

Problem: ₹235 + ₹180 = ?

Step 1: Line up the numbers
  â‚ą235
+ ₹180
-------
Step 2: Add from right to left
5 + 0 = 5
3 + 8 = 11 (write 1, carry 1)
2 + 1 + 1 = 4

Answer: ₹415 ✓

Subtracting Money

\(\text{Difference} = \text{Larger Amount} - \text{Smaller Amount}\)

Example: Subtraction

Problem: ₹500 - ₹275 = ?

Step 1: Line up the numbers
  â‚ą500
- ₹275
-------
Step 2: Subtract from right to left (borrow if needed)
0 - 5: Can't do, borrow → 10 - 5 = 5
9 - 7 = 2 (after borrowing)
4 - 2 = 2 (after borrowing)

Answer: ₹225 ✓

đź“– Add Money Amounts - Word Problems

Steps to Solve:

  1. Read carefully - Understand the problem
  2. Find the numbers - What are the money amounts?
  3. Decide the operation - Add or subtract?
  4. Solve - Do the math
  5. Write the answer - Include ₹ symbol
  6. Check - Does it make sense?

Example Problems:

Problem 1: Shopping

Ravi buys a notebook for ₹45 and a pencil box for ₹85. How much does he spend in total?

Given: Notebook = ₹45, Pencil box = ₹85
Operation: Add (find total)
Calculation: \(45 + 85 = 130\)
Answer: Ravi spends ₹130 in total. ✓

Problem 2: Saving Money

Priya has ₹250. She buys a toy for ₹120. How much money does she have left?

Given: Had = ₹250, Spent = ₹120
Operation: Subtract (find remaining)
Calculation: \(250 - 120 = 130\)
Answer: Priya has ₹130 left. ✓

Problem 3: Multiple Items

Amit buys 3 books. Each book costs ₹75. How much does he pay for all 3 books?

Given: 3 books, Each = ₹75
Operation: Multiply or Add
Method 1: \(3 \times 75 = 225\)
Method 2: \(75 + 75 + 75 = 225\)
Answer: Amit pays ₹225. ✓

đź“‹ Price Lists

What is a Price List?

A price list is a table or list that shows the prices of different items. We use it to find costs and calculate totals!

Example Price List: School Store

ItemPrice
Pencil₹5
Eraser₹3
Notebook₹40
Geometry Box₹120
Water Bottle₹85

Using Price Lists:

Question 1: Single Item

How much does a geometry box cost?

Answer: Look at the price list → ₹120 ✓

Question 2: Multiple Items

Sita buys 2 pencils and 1 notebook. How much does she pay?

Find prices:
2 pencils: \(2 \times 5 = ₹10\)
1 notebook: ₹40

Total: \(10 + 40 = ₹50\) ✓

Question 3: Budget Problem

Rahul has ₹100. Can he buy a geometry box and an eraser?

Calculate cost:
Geometry box: ₹120
Eraser: ₹3
Total needed: \(120 + 3 = ₹123\)

Compare: ₹100 < ₹123
Answer: NO, he needs ₹23 more. ✗

📝 Important Formulas Summary

Counting Money:

\(\text{Total} = (\text{Number of notes/coins}) \times (\text{Value})\)

Making Change:

\(\text{Change} = \text{Money Given} - \text{Price}\)

Adding Money:

\(\text{Total} = \text{Amount 1} + \text{Amount 2} + ...\)

Subtracting Money:

\(\text{Remaining} = \text{Starting Amount} - \text{Spent}\)

Enough Money Check:

If \(\text{Your Money} \geq \text{Price}\), then YES âś“
If \(\text{Your Money} < \text{Price}\), then NO âś—

đź’ˇ Quick Learning Tips

  • âś“ Know Indian coins: ₹1, ₹2, ₹5, ₹10, ₹20
  • âś“ Know Indian notes: ₹10, ₹20, ₹50, ₹100, ₹200, ₹500
  • âś“ Count larger values first (₹500, ₹200, ₹100...)
  • âś“ Group same values together when counting
  • âś“ Change = Money given - Price (always positive!)
  • âś“ Use ₹ symbol in all money answers
  • âś“ Check if you have enough: Your money ≥ Price?
  • âś“ Compare money like regular numbers
  • âś“ Ascending order = smallest to largest (↑)
  • âś“ Descending order = largest to smallest (↓)
  • âś“ Add money amounts when buying multiple items
  • âś“ Subtract to find remaining money or change
  • âś“ Use price lists to find costs of items
  • âś“ Practice with real money at home!
Shares: