What is 9 × 12?

S1-SA1-0717

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

9 × 12 is a multiplication problem asking us to find the total when the number 9 is added to itself 12 times, or when the number 12 is added to itself 9 times. It represents finding the product of 9 and 12.

Simple Example

Quick Example

Imagine you have 9 friends, and each friend brings 12 laddoos to a party. To find the total number of laddoos, you would multiply 9 by 12. This tells you how many laddoos there are in all.

Worked Example

Step-by-Step

Let's find the value of 9 × 12 using a simple method:

Step 1: Break down one of the numbers. Let's break 12 into 10 and 2. So, 9 × 12 becomes 9 × (10 + 2).
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Step 2: Now, multiply 9 by each part separately. First, multiply 9 by 10. 9 × 10 = 90.
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Step 3: Next, multiply 9 by 2. 9 × 2 = 18.
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Step 4: Finally, add the results from Step 2 and Step 3. 90 + 18 = 108.
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So, 9 × 12 = 108.

Why It Matters

Understanding multiplication is key for many fields, from managing finances to designing video games. In computing, it's used in algorithms for graphics and data processing. AI uses multiplication in complex calculations for machine learning models, helping self-driving cars 'see' or recommending what movies you might like.

Common Mistakes

MISTAKE: Adding the numbers instead of multiplying (e.g., 9 + 12 = 21) | CORRECTION: Remember that the '×' symbol means to multiply, which is repeated addition.

MISTAKE: Forgetting basic multiplication facts, especially for numbers like 9 or 12, and guessing | CORRECTION: Practice your multiplication tables regularly or use methods like breaking down numbers (e.g., 9 × (10+2)).

MISTAKE: Mixing up the order of operations when multiple operations are present | CORRECTION: While 9 × 12 is straightforward, always remember to do multiplication before addition or subtraction if they are in the same problem.

Practice Questions

Try It Yourself

QUESTION: A vendor sells 9 samosas for Rs 10 each. How much money does he collect? | ANSWER: 9 × 10 = 90. He collects Rs 90.

QUESTION: If a bus travels 12 km in one hour, how far will it travel in 9 hours at the same speed? | ANSWER: 12 × 9 = 108 km.

QUESTION: You have 9 boxes, and each box contains 12 packets of biscuits. If each packet has 5 biscuits, how many biscuits are there in total? | ANSWER: First, find total packets: 9 × 12 = 108 packets. Then, find total biscuits: 108 × 5 = 540 biscuits.

MCQ

Quick Quiz

What is the product of 9 and 12?

108

129

The Correct Answer Is:

The product of 9 and 12 means 9 multiplied by 12. 9 × 12 equals 108. Options A, C, and D are incorrect results of this multiplication.

Real World Connection

In the Real World

When you buy groceries, the billing software at the supermarket uses multiplication to calculate the total cost. For example, if you buy 9 items that cost Rs 12 each, the system instantly multiplies 9 × 12 to show Rs 108 on your bill. This happens millions of times daily in shops across India, from local kirana stores to big malls.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation where a number is added to itself a certain number of times, represented by '×' | PRODUCT: The result of multiplying two or more numbers together | FACTORS: The numbers that are multiplied together to get a product | REPEATED ADDITION: Another way to think about multiplication, where you add the same number multiple times

What's Next

What to Learn Next

Now that you understand basic multiplication, you can move on to learning about multiplication of larger numbers, like 2-digit by 2-digit numbers. This will help you solve even more complex problems and build a strong foundation for future math topics.