What is 7 × 8?

S1-SA1-0704

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

7 × 8 means you are adding the number 7, eight times (7 + 7 + 7 + 7 + 7 + 7 + 7 + 7) OR adding the number 8, seven times (8 + 8 + 8 + 8 + 8 + 8 + 8). Both ways give you the same answer. It's a basic multiplication fact that helps you calculate quickly.

Simple Example

Quick Example

Imagine you have 7 friends, and each friend brings 8 ladoos for a party. To find out the total number of ladoos, you would multiply 7 by 8. This helps you quickly know how many sweets everyone can enjoy without counting each one individually.

Worked Example

Step-by-Step

Let's find the value of 7 × 8 using repeated addition:

Step 1: Understand what 7 × 8 means. It means adding 7 eight times.

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Step 2: Start adding 7 to itself.
7 + 7 = 14

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Step 3: Add 7 again.
14 + 7 = 21

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Step 4: Continue adding 7.
21 + 7 = 28

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Step 5: Keep going.
28 + 7 = 35

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Step 6: Almost there!
35 + 7 = 42

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Step 7: One more time.
42 + 7 = 49

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Step 8: Final addition.
49 + 7 = 56

So, 7 × 8 = 56.

Why It Matters

Knowing basic multiplication facts like 7 × 8 is super important for Maths, Computing, and even AI! In Maths, it's a building block for fractions, decimals, and algebra. For Computing, these calculations are the core of how computers process data, helping engineers at ISRO design rockets or develop apps. For AI, it's used in complex algorithms for things like facial recognition or self-driving cars.

Common Mistakes

MISTAKE: Confusing multiplication with addition, e.g., thinking 7 × 8 is 7 + 8 = 15 | CORRECTION: Remember multiplication is repeated addition. 7 × 8 means 7 added 8 times, not just once.

MISTAKE: Counting on fingers and losing track, leading to incorrect totals like 54 or 58 | CORRECTION: Practice your multiplication tables regularly or use strategies like breaking down numbers (e.g., 7 × 8 = (7 × 5) + (7 × 3) = 35 + 21 = 56).

MISTAKE: Assuming the order matters, thinking 7 × 8 is different from 8 × 7 | CORRECTION: Multiplication has the 'commutative property', meaning the order of numbers doesn't change the product. 7 × 8 is always the same as 8 × 7.

Practice Questions

Try It Yourself

QUESTION: What is the total number of wheels on 7 auto-rickshaws if each auto has 3 wheels? | ANSWER: 21

QUESTION: If a shopkeeper sells 8 packets of biscuits, and each packet has 7 biscuits, how many biscuits did he sell in total? | ANSWER: 56

QUESTION: A class has 7 rows, and each row has 8 students. If 5 students are absent today, how many students are present? | ANSWER: First calculate total students: 7 × 8 = 56. Then subtract absent students: 56 - 5 = 51 students present.

MCQ

Quick Quiz

Which of these statements correctly represents 7 × 8?

7 + 8

8 + 8 + 8 + 8 + 8 + 8 + 8

7 + 7 + 7 + 7 + 7 + 7 + 7

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

The Correct Answer Is:

7 × 8 means adding the number 8, seven times (8 + 8 + 8 + 8 + 8 + 8 + 8). Option B shows 8 added seven times, which is the correct representation. Option A is addition, not multiplication. Option C shows 7 added seven times (7x7). Option D shows 8 added eight times (8x8).

Real World Connection

In the Real World

Knowing 7 × 8 helps calculate things quickly. For example, a delivery rider for Swiggy or Zomato might need to deliver 7 orders, and each order has 8 items. They quickly calculate 56 items to manage their bag space. Or, in cricket, if a batsman hits 7 boundaries (fours) in an over, you know they scored 7 × 4 = 28 runs, plus any singles.

Key Vocabulary

Key Terms

MULTIPLICATION: A way to do repeated addition quickly | PRODUCT: The answer you get when you multiply numbers | FACTORS: The numbers you multiply together to get a product (e.g., 7 and 8 are factors of 56) | COMMUTATIVE PROPERTY: The rule that says changing the order of numbers in multiplication doesn't change the result (e.g., 7 × 8 = 8 × 7)

What's Next

What to Learn Next

Great job mastering 7 × 8! Now that you're comfortable with this, you can move on to learning other multiplication facts and then two-digit multiplication. This will help you solve even bigger problems and make everyday calculations super easy!