What is 8 × 11?

S1-SA1-0712

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

8 × 11 means adding the number 8 to itself, 11 times. It is a basic multiplication problem that helps us find the total when we have 8 groups of 11 items, or 11 groups of 8 items.

Simple Example

Quick Example

Imagine you have 8 friends, and each friend gets 11 ladoos for Diwali. To find out the total number of ladoos, you would multiply 8 by 11. This helps you quickly calculate the grand total without counting each ladoo one by one.

Worked Example

Step-by-Step

Let's find the value of 8 × 11:
Step 1: Understand that 8 × 11 is the same as adding 8 eleven times (8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8).
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Step 2: Or, it's easier to think of it as 11 groups of 8.
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Step 3: We know that 11 multiplied by 8 means 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11.
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Step 4: A quick way to multiply by 11 is to multiply the number by 10 and then add the number once more. So, 8 × 10 = 80.
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Step 5: Now, add 8 to 80. So, 80 + 8 = 88.
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Answer: 8 × 11 = 88.

Why It Matters

Understanding multiplication quickly is super important for many fields like Computing, where computers perform millions of calculations every second. In AI, these basic operations help create smart systems that recognize faces or understand speech. Even game developers use multiplication for scoring and character movements.

Common Mistakes

MISTAKE: Adding 8 and 11 to get 19 | CORRECTION: Multiplication is repeated addition, not just a single addition. 8 × 11 means 8 added 11 times, not 8 + 11.

MISTAKE: Confusing the order and thinking 8 × 11 is different from 11 × 8 | CORRECTION: Multiplication is commutative, meaning the order does not change the result. 8 × 11 is the same as 11 × 8.

MISTAKE: Forgetting multiplication tables and guessing | CORRECTION: Memorizing basic multiplication tables (like the 8 and 11 times tables) makes these calculations much faster and more accurate.

Practice Questions

Try It Yourself

QUESTION: A small auto-rickshaw carries 8 passengers. If 11 such auto-rickshaws are full, how many passengers are there in total? | ANSWER: 88 passengers

QUESTION: If you score 8 runs in 11 different overs during a cricket match, what is your total score from those overs? | ANSWER: 88 runs

QUESTION: Priya buys 8 packets of biscuits. Each packet has 11 biscuits. She eats 5 biscuits. How many biscuits are left? | ANSWER: 83 biscuits (First calculate 8 × 11 = 88, then subtract 5: 88 - 5 = 83)

MCQ

Quick Quiz

What is the product of 8 and 11?

811

The Correct Answer Is:

The product of 8 and 11 means 8 multiplied by 11, which equals 88. Options A, C, and D are incorrect as they represent addition, concatenation, or multiplication by 10 respectively.

Real World Connection

In the Real World

When you buy groceries online using apps like Zepto or BigBasket, the app's system uses multiplication to calculate the total cost if you add 8 items, each costing 11 rupees. Even your mobile phone's processor uses these calculations millions of times to run apps and games smoothly.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation that is essentially repeated addition | PRODUCT: The result of multiplying two or more numbers | TIMES TABLE: A list of the multiples of a particular number | COMMUTATIVE: A property meaning the order of numbers in an operation (like multiplication) does not change the result

What's Next

What to Learn Next

Great job understanding 8 × 11! Next, you should explore multiplying larger numbers, like 12 × 11 or 8 × 12. This will help you build a stronger foundation for more complex calculations and real-life problem-solving.