What is Multiplying by Six?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

Multiplying by six means adding a number to itself six times. It's a quick way to find the total when you have six equal groups of something.

Simple Example

Quick Example

Imagine you have 6 friends, and each friend eats 2 ladoos. To find the total number of ladoos eaten, you can multiply 2 by 6. This is much faster than adding 2 + 2 + 2 + 2 + 2 + 2.

Worked Example

Step-by-Step

Let's say one cricket ball costs ₹15. How much will 6 cricket balls cost?

Step 1: Understand the problem. We need to find the total cost of 6 items, where each item costs ₹15.
---Step 2: Identify the numbers to multiply. We have 6 balls and each costs ₹15.
---Step 3: Set up the multiplication: 15 x 6.
---Step 4: Multiply the ones place: 6 x 5 = 30. Write down 0 and carry over 3.
---Step 5: Multiply the tens place: 6 x 1 = 6. Add the carried over 3: 6 + 3 = 9.
---Step 6: Combine the results. The answer is 90.

So, 6 cricket balls will cost ₹90.

Why It Matters

Understanding multiplication by six helps you quickly calculate costs, quantities, and distances in daily life. It's a foundational skill for careers in business, engineering, and even cooking, where you often need to scale recipes.

Common Mistakes

MISTAKE: Adding the numbers instead of multiplying (e.g., 6 + 15 instead of 6 x 15) | CORRECTION: Remember that 'multiplying by six' means having six 'groups' of that number, not just adding them once.

MISTAKE: Forgetting to carry over numbers during multiplication (e.g., in 15 x 6, writing 60 instead of 90) | CORRECTION: Always remember to carry over tens when the product of a digit multiplication is 10 or more.

MISTAKE: Confusing multiplication by 6 with division by 6 | CORRECTION: Multiplication makes numbers bigger (combining groups), while division makes them smaller (splitting into groups).

Practice Questions

Try It Yourself

QUESTION: If a packet of biscuits has 12 biscuits, how many biscuits are there in 6 such packets? | ANSWER: 72 biscuits

QUESTION: An auto-rickshaw driver charges ₹8 per kilometer. How much will it cost to travel 6 kilometers? | ANSWER: ₹48

QUESTION: A painter uses 3 litres of paint for one wall. If he needs to paint 6 walls of the same size and each litre costs ₹150, what is the total cost of paint? | ANSWER: ₹2700

MCQ

Quick Quiz

What is 6 multiplied by 9?

The Correct Answer Is:

6 multiplied by 9 means adding 9 six times (9+9+9+9+9+9) or adding 6 nine times. Both result in 54.

Real World Connection

In the Real World

Imagine you're buying vegetables at the local market. If one bunch of spinach costs ₹10, and you want to buy 6 bunches, you quickly multiply 10 x 6 = ₹60 to know the total cost before paying the vendor. This simple calculation helps you manage your money daily.

Key Vocabulary

Key Terms

MULTIPLY: To combine equal groups to find a total | PRODUCT: The answer to a multiplication problem | FACTOR: The numbers being multiplied together | TIMES TABLES: A list of multiplication facts for a number

What's Next

What to Learn Next

Now that you understand multiplying by six, you're ready to explore multiplication by other numbers like seven, eight, and nine. This will strengthen your multiplication skills and prepare you for larger calculations!