What is 5 × 7?

S1-SA1-0690

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

5 × 7 means adding the number 5, seven times (5 + 5 + 5 + 5 + 5 + 5 + 5). It also means adding the number 7, five times (7 + 7 + 7 + 7 + 7). This operation is called multiplication, a quick way to do repeated addition.

Simple Example

Quick Example

Imagine you have 5 friends, and each friend brings 7 ladoos to a party. To find the total number of ladoos, you would do 5 × 7. This helps you quickly calculate the total without counting each ladoo one by one.

Worked Example

Step-by-Step

Let's find the value of 5 × 7:
1. Understand what 5 × 7 means: It means adding 5, seven times.
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2. Start adding 5s: 5 + 5 = 10
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3. Continue adding: 10 + 5 = 15
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4. Keep going: 15 + 5 = 20
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5. Almost there: 20 + 5 = 25
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6. One more 5: 25 + 5 = 30
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7. Last 5: 30 + 5 = 35
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So, 5 × 7 = 35.

Why It Matters

Understanding multiplication is fundamental for many advanced fields. In computing, it's used in algorithms for graphics and data processing. AI systems use multiplication for complex calculations in machine learning models, helping them 'learn' from data. It's crucial for careers like software developer, data scientist, and financial analyst.

Common Mistakes

MISTAKE: Adding 5 and 7 (5 + 7 = 12) instead of multiplying. | CORRECTION: Remember that '×' means multiplication, which is repeated addition, not simple addition.

MISTAKE: Confusing 5 × 7 with 5 + 7. | CORRECTION: '×' is for multiplication, meaning 'groups of'. '+' is for addition, meaning 'combining two amounts'.

MISTAKE: Counting on fingers inaccurately or misremembering multiplication tables. | CORRECTION: Practice your multiplication tables regularly or use repeated addition carefully until you memorize them.

Practice Questions

Try It Yourself

QUESTION: If one auto-rickshaw fare is ₹10, and you take 3 such rides, how much do you pay in total? (Hint: 3 × 10) | ANSWER: ₹30

QUESTION: A cricket team scores 6 runs in each of the first 4 overs. What is their total score after 4 overs? | ANSWER: 24 runs

QUESTION: Your mobile data plan gives you 2 GB of data every day. How much data do you get in total over 7 days? | ANSWER: 14 GB

MCQ

Quick Quiz

Which of the following is the correct way to calculate 5 × 7?

5 + 7

7 + 7 + 7 + 7 + 7

5 + 5 + 5 + 5 + 5

5 - 7

The Correct Answer Is:

Option B (7 + 7 + 7 + 7 + 7) correctly shows 7 added 5 times, which is what 5 × 7 means. Option A is addition, C is adding 5 only 5 times, and D is subtraction.

Real World Connection

In the Real World

When you buy 5 packets of biscuits, and each packet costs ₹7, the shopkeeper quickly calculates the total as 5 × 7 = ₹35. Similarly, delivery apps like Zomato or Swiggy use multiplication to calculate total order costs when you order multiple items, each with a specific price.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation that is a shortcut for repeated addition | PRODUCT: The result of multiplying two or more numbers | FACTOR: A number that is multiplied by another number to get a product | REPEATED ADDITION: Adding the same number multiple times

What's Next

What to Learn Next

Now that you understand basic multiplication, you can move on to learning about larger multiplication tables and then two-digit multiplication. These skills will help you solve even bigger problems faster and more efficiently.