What is 8 × 12?

S1-SA1-0713

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

8 × 12 means adding the number 12, eight times. It is a multiplication problem where you find the product of 8 and 12. Multiplication is a quick way to do repeated addition.

Simple Example

Quick Example

Imagine you buy 8 packets of biscuits, and each packet has 12 biscuits. To find the total number of biscuits, you would multiply 8 by 12. This tells you how many biscuits you have in total without counting them one by one.

Worked Example

Step-by-Step

Let's find 8 × 12 using a simple method.

Step 1: We can break down 12 into 10 + 2.
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Step 2: Now, multiply 8 by each part: (8 × 10) + (8 × 2).
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Step 3: Calculate the first part: 8 × 10 = 80.
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Step 4: Calculate the second part: 8 × 2 = 16.
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Step 5: Add the results from Step 3 and Step 4: 80 + 16.
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Step 6: 80 + 16 = 96.

So, 8 × 12 = 96.

Why It Matters

Understanding multiplication like 8 × 12 is super important for many advanced topics in Maths, Computing, and even AI. It's the basic building block for calculating things quickly, which is crucial for careers like a data analyst, software developer, or even a shop owner managing inventory.

Common Mistakes

MISTAKE: Adding 8 and 12 instead of multiplying (8 + 12 = 20) | CORRECTION: Remember that the '×' symbol means multiplication, which is repeated addition, not just simple addition.

MISTAKE: Forgetting multiplication tables for numbers like 8 or 12, leading to incorrect calculations. | CORRECTION: Practice your multiplication tables regularly, especially for numbers up to 12. You can use flashcards or online games.

MISTAKE: Mixing up the order of numbers when using methods like breaking down (e.g., doing 12 × 8 + 12 × 10). | CORRECTION: When breaking down, ensure you multiply the single number (8) by each part of the broken-down number (10 and 2).

Practice Questions

Try It Yourself

QUESTION: A gardener plants 8 rows of rose bushes, with 12 bushes in each row. How many rose bushes are there in total? | ANSWER: 96 rose bushes

QUESTION: If a bus ticket costs ₹12 and 8 friends are traveling, how much will they pay together? | ANSWER: ₹96

QUESTION: You have 8 boxes, and each box contains 12 pens. If you give away 3 boxes of pens, how many pens do you have left? | ANSWER: 60 pens (First find total: 8 × 12 = 96. Then pens given away: 3 × 12 = 36. Pens left: 96 - 36 = 60)

MCQ

Quick Quiz

What is the product of 8 and 12?

100

The Correct Answer Is:

The product of 8 and 12 is 96. Options A, B, and D are incorrect as they result from addition, an incorrect calculation, or a rounded estimate.

Real World Connection

In the Real World

From calculating the total cost of 8 items at ₹12 each at a local kirana store to estimating how many total runs a cricket team needs if 8 players score 12 runs each, multiplication helps us quickly figure out totals. Even delivery apps like Swiggy use these basic calculations to estimate total order values.

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 find a product. | REPEATED ADDITION: Adding the same number multiple times.

What's Next

What to Learn Next

Great job understanding 8 × 12! Next, you can explore multiplying larger numbers or learning about division. Division is the opposite of multiplication, and mastering both will make you a math wizard!