Multiply three or more numbers

6th Class – Multiply Three Or More Numbers by Delta publications

Keynotes :

Understanding Multiplication of Multiple Numbers
  • Multiplying three or more numbers means finding the product of all the numbers together.
  • The order of multiplication does not change the result (commutative property).
  • Example:

2×3×4=(2×3)×4=6×4=24

Steps to Multiply Three or More Numbers
  1. Group the numbers in a way that makes multiplication easier (optional).
  2. Multiply the first two numbers.
  3. Multiply the result by the next number.
  4. Repeat the process if there are more numbers.
  5. Write the final product.
Important Properties to Remember

Commutative Property: The order of multiplication doesn’t matter.

2×3×4=4×2×3

Associative Property: You can multiply in groups.

(2×3)×4=2×(3×4)

Multiplication by 1: Doesn’t change the number.

Multiplication by 0: Result is always 0.

Examples

Example 1:
Multiply 3 × 4 × 5

Solution:

3×4=12

12×5=60

✅ Answer: 60

Example 2:
Multiply 2 × 6 × 3 × 5

Solution:

2×6=12

12×3=36

36×5=180

✅ Answer: 180

Example 3 – Using Commutative Property:
Multiply 5 × 2 × 10 × 4

Solution:

(5×2)×(10×4)=10×40=400

✅ Answer: 400

Tips for Multiplying Many Numbers
  1. Multiply smaller numbers first to make calculation easier.
  2. Use grouping to simplify calculations.
  3. Double-check your multiplication step by step.
  4. Always write the final answer clearly.
Practice Questions
  1. Multiply 3 × 7 × 2
  2. Multiply 4 × 5 × 6 × 2
  3. Multiply 2 × 3 × 8 × 5
  4. Multiply 7 × 5 × 4 × 2
  5. Multiply 3 × 6 × 2 × 5 × 4
Answers:
  1. 42
  2. 240
  3. 240
  4. 280
  5. 720
More Example Problems:

✅ Example 1: Basic Multiplication

Multiply: 3 × 5 × 2
→ Step 1: (3 × 5) = 15
→ Step 2: 15 × 2 = 30

Tip: Grouping 3 and 5 first made it easier.

✅ Example 2: Real-Life – School Supplies

Each student gets 2 notebooks for each of 5 subjects. There are 30 students in the class.
How many notebooks are needed in total?

→ Multiply: 2 × 5 × 30
→ Step 1: 2 × 5 = 10
→ Step 2: 10 × 30 = 300 notebooks

✅ Example 3: Using Smart Grouping

Multiply: 4 × 25 × 10
Group (25 × 4) = 100
→ 100 × 10 = 1,000

✅ Smart grouping helps in mental math.

✅ Example 4: Daily Routine – Water Consumption

A person drinks 2 bottles of water per day. Each bottle is 1 liter. Over 7 days, how many liters does he drink?

→ Multiply: 2 × 1 × 7 = 14 liters

✅ Example 5: Large Numbers with Place Value

Multiply: 20 × 300 × 5
→ Multiply non-zero parts: 2 × 3 × 5 = 30
→ Total zeroes = 1 (from 20) + 2 (from 300) = 3
→ Final Answer = 30,000

✅ Example 6: Word Problem – Event Planning

Each row in an auditorium has 12 chairs. There are 10 rows in each section. The auditorium has 4 sections.
How many chairs in total?

→ Multiply: 12 × 10 × 4
→ Step 1: 12 × 10 = 120
→ Step 2: 120 × 4 = 480 chairs

✅ Example 7: Time-Based Problem

A machine packs 5 boxes every 10 minutes. If it runs for 3 hours, how many boxes will it pack?

→ Total minutes in 3 hours = 3 × 60 = 180
→ Number of 10-minute intervals = 180 ÷ 10 = 18
→ Multiply: 5 × 18 = 90 boxes

Or: 5 × 6 × 3 = 90

✅ Example 8: Money Application

Each packet of pencils costs ₹15. A shop sells 8 packets each day for 6 days.
→ Multiply: 15 × 8 × 6
→ Step 1: 15 × 8 = 120
→ Step 2: 120 × 6 = ₹720