What is 11 × 12?

S1-SA1-0722

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

11 × 12 means adding the number 11 to itself 12 times, or adding the number 12 to itself 11 times. It's a basic multiplication problem that helps us find the total when we have groups of equal size.

Simple Example

Quick Example

Imagine you have 11 friends coming over, and you want to give each friend 12 laddoos. To find out the total number of laddoos you need, you would multiply 11 by 12. This tells you the total quantity quickly.

Worked Example

Step-by-Step

Let's calculate 11 × 12 using a simple method:

Step 1: Break down one of the numbers. We can break 12 into 10 + 2.
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Step 2: Now, multiply 11 by each part separately: 11 × 10 and 11 × 2.
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Step 3: Calculate 11 × 10. When multiplying by 10, just add a zero to the number. So, 11 × 10 = 110.
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Step 4: Calculate 11 × 2. This is like adding 11 two times: 11 + 11 = 22.
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Step 5: Add the results from Step 3 and Step 4: 110 + 22.
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Step 6: 110 + 22 = 132.
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Answer: So, 11 × 12 = 132.

Why It Matters

Understanding multiplication is key for Maths, Computing, and even AI. In computing, it helps calculate memory space or processing speed. For AI, it's fundamental for algorithms that process data, like in a data scientist's job or when building smart apps.

Common Mistakes

MISTAKE: Adding 11 and 12 together to get 23. | CORRECTION: Multiplication is repeated addition, not just a single addition. 11 × 12 means 11 added 12 times, or 12 added 11 times.

MISTAKE: Forgetting to carry over numbers when doing long multiplication. | CORRECTION: Always remember to carry over tens, hundreds, etc., to the next column when the product of a column exceeds 9.

MISTAKE: Confusing 11 × 12 with 11 + 2 or 10 + 12. | CORRECTION: Multiplication uses the '×' symbol and means combining groups, while addition uses '+' and means combining individual items.

Practice Questions

Try It Yourself

QUESTION: If a bus ticket costs ₹11 and 12 friends are traveling, how much will the tickets cost in total? | ANSWER: ₹132

QUESTION: A gardener plants 11 rows of marigolds, with 12 marigolds in each row. How many marigolds are there in total? | ANSWER: 132 marigolds

QUESTION: Priya sells 11 packets of biscuits every day for 12 days. If each packet has 10 biscuits, how many biscuits did she sell in total? (First find total packets, then total biscuits) | ANSWER: 1320 biscuits

MCQ

Quick Quiz

What is the product of 11 and 12?

132

121

112

The Correct Answer Is:

The product of 11 and 12 is found by multiplying them, which gives 132. Options A, C, and D are incorrect results from either addition or incorrect multiplication.

Real World Connection

In the Real World

When you buy groceries online using apps like Zepto or Blinkit, the app calculates the total cost by multiplying the quantity of each item by its price. If you buy 11 packs of curd each costing ₹12, the app quickly calculates ₹132 using multiplication.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation that represents repeated addition. | PRODUCT: The result of multiplying two or more numbers. | FACTORS: The numbers that are multiplied together to get a product. | REPEATED ADDITION: Adding the same number multiple times.

What's Next

What to Learn Next

Great job understanding 11 × 12! Next, you can explore multiplying larger numbers, like 2-digit by 2-digit numbers. This will build on your multiplication skills and help you solve even bigger problems easily.