What is 6 × 12?

S1-SA1-0702

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

6 × 12 means adding the number 12, six times (12 + 12 + 12 + 12 + 12 + 12). It's a way to find the total when you have 6 groups, and each group has 12 items. This is a basic multiplication problem.

Simple Example

Quick Example

Imagine you bought 6 packs of biscuits for your friends. If each pack has 12 biscuits, how many biscuits do you have in total? You need to find 6 × 12 to get the total number of biscuits.

Worked Example

Step-by-Step

Let's find the value of 6 × 12 using simple multiplication steps:
1. We need to multiply 6 by 12.
2. We can write this as:
12
x 6
-----
3. First, multiply the 6 by the 'ones' digit of 12, which is 2. So, 6 × 2 = 12.
4. Write down '2' in the ones place of the answer and carry over '1' to the tens place.
1
12
x 6
-----
2
5. Next, multiply the 6 by the 'tens' digit of 12, which is 1. So, 6 × 1 = 6.
6. Now, add the '1' that you carried over to this result: 6 + 1 = 7.
7. Write down '7' in the tens place of the answer.
1
12
x 6
-----
72
8. So, 6 × 12 = 72.

Why It Matters

Understanding multiplication like 6 × 12 is super important for Maths, Computing, and even AI. It helps you quickly calculate things, which is key for jobs like a data analyst managing cricket stats or a software engineer designing game scores. Even AI models use multiplication for complex calculations!

Common Mistakes

MISTAKE: Adding 6 and 12 to get 18 instead of multiplying. | CORRECTION: Remember that '×' means multiplication, not addition. You need to combine groups, not just add two numbers.

MISTAKE: Only multiplying 6 by the 'ones' digit (2) and forgetting the 'tens' digit (1) when doing column multiplication. | CORRECTION: Always multiply by every digit in the larger number, starting from the rightmost digit, and remember to carry over if needed.

MISTAKE: Getting confused if 6 × 12 is the same as 12 × 6. | CORRECTION: Yes, 6 × 12 is the same as 12 × 6. This is called the commutative property of multiplication. Both will give you 72.

Practice Questions

Try It Yourself

QUESTION: A auto-rickshaw driver charges Rs. 15 for each ride. If he gives 6 rides, how much money does he earn? | ANSWER: Rs. 90

QUESTION: Your mobile data plan gives you 24 GB of data per month. How much data would you get in 6 months? | ANSWER: 144 GB

QUESTION: In a school exhibition, there are 6 tables, and each table has 18 craft items displayed. If 10 items are sold from one table, how many craft items are left in total? | ANSWER: 98 items

MCQ

Quick Quiz

Which of the following is NOT a way to represent 6 × 12?

12 + 12 + 12 + 12 + 12 + 12

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6

10 × 6 + 2 × 6

6 + 12

The Correct Answer Is:

Option D, '6 + 12', represents addition, not multiplication. Options A, B, and C are all valid ways to show or calculate 6 × 12.

Real World Connection

In the Real World

When you buy groceries, say 6 packets of milk, and each costs Rs. 12, you use 6 × 12 to quickly calculate the total bill. Similarly, app-based delivery services like Zepto or Swiggy use multiplication to calculate total order values for multiple items.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation that represents repeated addition of the same number. | PRODUCT: The answer you get when you multiply two or more numbers. | FACTORS: The numbers that are multiplied together to get a product. | COMMUTATIVE PROPERTY: A property of multiplication that states changing the order of factors does not change the product (e.g., 6 × 12 = 12 × 6).

What's Next

What to Learn Next

Great job understanding 6 × 12! Next, you can explore multiplying larger numbers or learn about division, which is the opposite of multiplication. These skills will help you solve even more complex problems easily!