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What is a Product (simple quantity)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
In maths, the 'product' is the answer you get when you multiply two or more numbers together. It tells you the total amount when you have several equal groups. Think of it as the result of a multiplication sum.
Simple Example
Quick Example
Imagine you buy 3 packets of biscuits for your friends. Each packet costs ₹10. To find the total money you need to pay, you multiply 3 by 10. The answer, ₹30, is the product.
Worked Example
Step-by-Step
Let's find the product of 5 and 7.
Step 1: Identify the numbers to be multiplied. Here, they are 5 and 7.
---Step 2: Remember that 'product' means to multiply these numbers.
---Step 3: Set up the multiplication: 5 × 7.
---Step 4: Perform the multiplication. 5 times 7 equals 35.
---Step 5: The result of this multiplication is the product.
---Answer: The product of 5 and 7 is 35.
Why It Matters
Understanding products is fundamental to almost all areas of maths, from basic arithmetic to complex algebra and geometry. It's used by shopkeepers to calculate bills, engineers to design structures, and even by data scientists to analyze trends. Mastering it helps you build a strong foundation for future learning and various careers.
Common Mistakes
MISTAKE: Confusing product with sum (addition) or difference (subtraction). Forgetting that product specifically means multiplication. | CORRECTION: Always remember 'product' means 'multiply'. If the question asks for the product, use the multiplication sign (×).
MISTAKE: Not knowing multiplication tables well, leading to incorrect products. | CORRECTION: Practice your multiplication tables regularly. Knowing them by heart makes finding products much faster and more accurate.
MISTAKE: Only multiplying the first two numbers in a series (e.g., for 2 x 3 x 4, only doing 2 x 3). | CORRECTION: If there are more than two numbers, multiply them all one by one. For 2 x 3 x 4, first do 2 x 3 = 6, then multiply that result by the next number: 6 x 4 = 24.
Practice Questions
Try It Yourself
QUESTION: What is the product of 6 and 4? | ANSWER: 24
QUESTION: A auto-rickshaw driver charges ₹15 for every kilometer. If a passenger travels 8 kilometers, what is the product (total charge)? | ANSWER: ₹120
QUESTION: Find the product of 3, 5, and 2. | ANSWER: 30
MCQ
Quick Quiz
Which of the following is the product of 9 and 7?
16
2
63
97
The Correct Answer Is:
C
The product means the result of multiplication. 9 multiplied by 7 is 63. Options A and B are results of addition or subtraction, and D is just combining the digits.
Real World Connection
In the Real World
When you check your mobile phone bill, the total data cost is often a product. For example, if you use 2 GB extra data, and each GB costs ₹20, the extra charge (₹40) is the product of 2 and 20. Similarly, in a grocery store, the total cost for 5 packets of atta, each costing ₹50, is the product (₹250).
Key Vocabulary
Key Terms
PRODUCT: The result of multiplying numbers | MULTIPLICATION: The mathematical operation of finding a product | FACTOR: A number that is multiplied by another number to get a product | TIMES: Another word for 'multiply'
What's Next
What to Learn Next
Now that you understand what a product is, you're ready to explore different properties of multiplication, like the commutative and associative properties. These will help you solve more complex problems efficiently and confidently.
