What is 7 × 12?

S1-SA1-0708

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

7 × 12 means adding the number 12, seven times (12 + 12 + 12 + 12 + 12 + 12 + 12). It is a basic multiplication problem that helps us find the total when we have equal groups.

Simple Example

Quick Example

Imagine you have 7 friends, and each friend brings 12 ladoos for a party. To find the total number of ladoos, you would multiply 7 by 12. This helps you quickly find the grand total instead of counting each ladoo one by one.

Worked Example

Step-by-Step

Let's find the answer to 7 × 12:

Step 1: Understand that 7 × 12 is the same as adding 12, seven times (12 + 12 + 12 + 12 + 12 + 12 + 12).
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Step 2: We can use the multiplication table of 7 or 12. Let's break 12 into (10 + 2) to make it easier.
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Step 3: Multiply 7 by 10: 7 × 10 = 70.
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Step 4: Multiply 7 by 2: 7 × 2 = 14.
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Step 5: Add the results from Step 3 and Step 4: 70 + 14.
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Step 6: 70 + 14 = 84.

So, 7 × 12 = 84.

Why It Matters

Understanding multiplication is key for many advanced topics in Maths, Computing, and even AI. From calculating discounts in a shop to coding complex algorithms, multiplication is a fundamental skill. It's used by software developers, data scientists, and engineers every day.

Common Mistakes

MISTAKE: Adding 7 and 12 instead of multiplying (7 + 12 = 19). | CORRECTION: Remember that the '×' symbol means multiplication, which is repeated addition. You need to add 12 seven times, or 7 twelve times.

MISTAKE: Mixing up multiplication tables, e.g., thinking 7 × 12 is 70 (from 7 × 10). | CORRECTION: Practice your multiplication tables regularly. You can break down larger numbers (like 12 into 10 + 2) and multiply each part separately, then add the results.

MISTAKE: Only multiplying the tens digit and forgetting the units digit, e.g., 7 × 10 = 70, and ignoring 7 × 2. | CORRECTION: When multiplying a single digit by a two-digit number, make sure to multiply the single digit by both the tens and the units digit of the two-digit number, then add the products.

Practice Questions

Try It Yourself

QUESTION: A box contains 8 packets of biscuits, and each packet has 10 biscuits. How many biscuits are there in total? | ANSWER: 80 biscuits

QUESTION: If a school bus can carry 15 students, how many students can 6 such buses carry? | ANSWER: 90 students

QUESTION: Your mom buys 9 bags of oranges. Each bag has 11 oranges. If you eat 5 oranges, how many are left? | ANSWER: 94 oranges

MCQ

Quick Quiz

What is the product of 9 and 8?

The Correct Answer Is:

The product of 9 and 8 means 9 multiplied by 8, which is 72. Option A is addition, and options C and D are incorrect multiplication results.

Real World Connection

In the Real World

When you buy things at a shop, like 7 packets of chips that cost 12 rupees each, you use multiplication to calculate the total bill quickly. Even delivery apps like Swiggy or Zomato use multiplication to calculate total order value or delivery charges for multiple items.

Key Vocabulary

Key Terms

Multiplication: Repeated addition of the same number | Product: The result of multiplying two or more numbers | Factors: The numbers you multiply together to get a product | Times: Another word for 'multiplied by'

What's Next

What to Learn Next

Now that you've mastered basic multiplication, you can move on to learning about multiplication of larger numbers (like 2-digit by 2-digit) and division. These concepts build on your understanding of multiplication and are used in many real-life calculations.