What is 12 × 12?

S1-SA1-0723

Grade Level:

Class 3

Maths, Computing, AI, Time

Definition

What is it?

12 × 12 means adding the number 12 to itself, 12 times. It is a basic multiplication fact that helps us solve many everyday problems quickly. Knowing this answer by heart is very useful in maths.

Simple Example

Quick Example

Imagine you have 12 friends, and each friend brings 12 laddoos for a party. To find out the total number of laddoos, you would multiply 12 by 12. This tells you how many laddoos there are in all.

Worked Example

Step-by-Step

Let's find 12 × 12 using simple addition.

Step 1: Understand that 12 × 12 means 12 added 12 times.

Step 2: You can also think of it as (10 + 2) × 12.

Step 3: Multiply 10 by 12 first: 10 × 12 = 120.

Step 4: Now multiply 2 by 12: 2 × 12 = 24.

Step 5: Add the results from Step 3 and Step 4: 120 + 24.

Step 6: 120 + 24 = 144.

So, 12 × 12 = 144.

Why It Matters

Understanding multiplication helps in areas like Computing to write efficient code for calculations, and in AI to process large sets of data. It's crucial for careers from managing finances in a bank to designing new apps, where quick calculations are needed.

Common Mistakes

MISTAKE: Confusing 12 × 12 with 12 + 12 (which is 24). | CORRECTION: Remember that multiplication is repeated addition, not just a single addition.

MISTAKE: Forgetting the 'carry over' when doing long multiplication. For example, in 12 x 12, multiplying 2x2=4 and 1x2=2, then 2x1=2 and 1x1=1, and adding them incorrectly. | CORRECTION: Always remember to carry over tens when a product is 10 or more in any column.

MISTAKE: Guessing the answer instead of calculating or recalling the multiplication fact. | CORRECTION: Practice multiplication tables regularly or use methods like breaking down numbers (e.g., (10+2) x 12) to find the answer accurately.

Practice Questions

Try It Yourself

QUESTION: If a school bus has 12 rows, and each row can seat 12 students, how many students can sit in the bus? | ANSWER: 144 students

QUESTION: A gardener plants 12 saplings in each of 12 small pots. How many saplings did the gardener plant in total? | ANSWER: 144 saplings

QUESTION: You are buying 12 packets of biscuits, and each packet costs 12 rupees. If you pay with a 200 rupee note, how much change will you get? | ANSWER: First, calculate the total cost: 12 x 12 = 144 rupees. Then subtract from 200: 200 - 144 = 56 rupees change.

MCQ

Quick Quiz

What is the product of twelve and twelve?

120

144

224

The Correct Answer Is:

The product of twelve and twelve (12 × 12) is 144. Option A is 12+12, Option B is 10x12, and Option D is incorrect.

Real World Connection

In the Real World

When a shopkeeper calculates the total cost of 12 items, each priced at 12 rupees, they quickly multiply 12 by 12. Similarly, in cricket, if a player scores 12 boundaries (fours) and 12 sixes, understanding multiplication helps quickly calculate the total runs from those shots.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation where a number is added to itself a certain number of times. | PRODUCT: The result of multiplying two or more numbers. | FACTOR: A number that is multiplied by another number to get a product. | REPEATED ADDITION: Adding the same number multiple times, which is what multiplication represents.

What's Next

What to Learn Next

Now that you know 12 × 12, you can explore other multiplication facts and learn about squares of numbers. This will help you understand concepts like area and volume in geometry, making future maths problems easier to solve!