What is a Product?

S0-SA1-0621

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A product is the result you get when you multiply two or more numbers together. It is the answer to a multiplication problem.

Simple Example

Quick Example

Imagine you have 3 friends, and each friend gives you 2 laddoos. To find the total number of laddoos you have, you multiply 3 by 2. The answer, 6, is the product.

Worked Example

Step-by-Step

Let's find the product of 5 and 7.
---Step 1: Identify the numbers you need to multiply. Here, the numbers are 5 and 7.
---Step 2: Perform the multiplication operation. This means 5 multiplied by 7.
---Step 3: Calculate the result. 5 x 7 = 35.
---Answer: The product of 5 and 7 is 35.

Why It Matters

Understanding products is fundamental to almost all areas of mathematics and science. It's crucial for careers like engineering, finance, and even running a small business, where you constantly need to calculate quantities, costs, or data.

Common Mistakes

MISTAKE: Confusing product with sum (addition) or difference (subtraction). Forgetting that 'product' means multiplication. | CORRECTION: Always remember that 'product' specifically refers to the answer of a multiplication problem.

MISTAKE: Incorrectly performing the multiplication, especially with larger numbers or multiple digits. | CORRECTION: Practice your multiplication tables regularly and use methods like grid multiplication or column multiplication for bigger numbers.

MISTAKE: Thinking 'product' only applies to two numbers. | CORRECTION: A product can be the result of multiplying two, three, or even more numbers together (e.g., the product of 2, 3, and 4 is 24).

Practice Questions

Try It Yourself

QUESTION: What is the product of 8 and 4? | ANSWER: 32

QUESTION: A rickshaw driver earns Rs. 20 for each trip. If he completes 9 trips, what is the total amount (product) he earns? | ANSWER: Rs. 180

QUESTION: Find the product of 6, 2, and 5. Show your steps. | ANSWER: Step 1: Multiply 6 and 2 (6 x 2 = 12). Step 2: Multiply the result (12) by 5 (12 x 5 = 60). The product is 60.

MCQ

Quick Quiz

Which of the following correctly describes a product?

The answer when you add numbers

The answer when you subtract numbers

The answer when you multiply numbers

The answer when you divide numbers

The Correct Answer Is:

A product is the result of multiplying numbers. The answer to addition is a sum, subtraction is a difference, and division is a quotient.

Real World Connection

In the Real World

When a shopkeeper calculates the total cost of 5 packets of biscuits, each costing Rs. 15, they are finding the product (5 x 15 = 75). Similarly, when you calculate how many total runs a cricket team scored if 4 batsmen each scored 30 runs, you are finding the product.

Key Vocabulary

Key Terms

MULTIPLY: To combine numbers by repeated addition | FACTOR: A number that is multiplied by another number to get a product | CALCULATION: The process of determining something by mathematical methods | RESULT: The outcome or consequence of an action or operation

What's Next

What to Learn Next

Now that you understand what a product is, you're ready to explore properties of multiplication, like the commutative and associative properties. These will help you solve even bigger multiplication problems easily!