Lesson Objectives:

By the end of this lesson, students will be able to:

• Identify place value of digits in whole numbers and decimals

• Perform the four basic operations: addition, subtraction, multiplication, and division

• Apply rules of order of operations (PEMDAS)

• Solve real-life word problems involving basic arithmetic

📘 Part 1: Understanding Numbers

Place Value Example:

What is the place value of 6 in 6,482?

• Answer: 6,000 (Thousands place)

Decimal Example:

What is the place value of 4 in 7.436?

• Answer: Tenths (0.4)

➕ Part 2: Basic Operations

🧠 Part 3: Order of Operations (PEMDAS)

Parentheses
Exponents
MD Multiplication/Division (left to right)
AS Addition/Subtraction (left to right)

Example:

8 + 4 × (6 – 2)
Step 1: (6 – 2) = 4
Step 2: 4 × 4 = 16
Step 3: 8 + 16 = 24

🧮 Part 4: Real-Life Word Problems

Example 1:
Jahed bought 3 books for $12 each. How much did he spend in total?
→ 3 × $12 = $36

Example 2:
A class has 24 students. They are divided into 4 equal groups. How many students are in each group?
→ 24 ÷ 4 = 6 students

✅ Practice Quiz (5 Questions)

1. What is the value of 7 in the number 7,214?
   a) 7
   b) 70
   c) 7,000
   → Correct Answer: c) 7,000

2. What is 425 – 198?
   a) 227
   b) 317
   c) 243
   → Correct Answer: a) 227

3. Solve: 6 + 3 × (8 – 2)
   a) 54
   b) 24
   c) 30
   → Correct Answer: c) 24

4. Which comes first in the order of operations?
   a) Subtraction
   b) Multiplication
   c) Parentheses
   → Correct Answer: c) Parentheses

5. A bag contains 6 apples. If there are 5 bags, how many apples in total?
   a) 30
   b) 11
   c) 35
   → Correct Answer: a) 30

📄 Homework:

Solve and bring answers to next class:

1. 842 + 119 = ?

2. 965 – 438 = ?

3. 56 ÷ 8 = ?

4. 12 × (4 + 2) = ?

5. Write the place value of 5 in 5,361.