What is 10 × 12?

S1-SA1-0720

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

10 × 12 means you are adding the number 12, ten times. It is a basic multiplication problem where you find the product when 10 is multiplied by 12.

Simple Example

Quick Example

Imagine you have 10 friends, and each friend brings 12 laddoos for a party. To find out the total number of laddoos, you would multiply 10 by 12. So, 10 × 12 tells you the total laddoos.

Worked Example

Step-by-Step

Let's calculate 10 × 12:
1. We can think of 10 × 12 as 10 groups of 12.
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2. Another way is to break down 12 into 10 + 2.
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3. Now, multiply 10 by 10: 10 × 10 = 100.
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4. Then, multiply 10 by 2: 10 × 2 = 20.
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5. Finally, add the results from steps 3 and 4: 100 + 20 = 120.
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Answer: 10 × 12 = 120.

Why It Matters

Understanding multiplication is crucial for many fields. In computing, it helps in calculating data storage or processing speed. AI algorithms use multiplication for complex calculations, and even game developers use it to scale objects or calculate scores.

Common Mistakes

MISTAKE: Adding 10 and 12 to get 22. | CORRECTION: Remember that '×' means multiplication, not addition. You are finding the total when one number is repeated a certain number of times.

MISTAKE: Forgetting to carry over numbers when doing long multiplication. | CORRECTION: Always pay attention to place values and carry over tens or hundreds to the next column correctly.

MISTAKE: Confusing 10 × 12 with 12 × 10, thinking they are different. | CORRECTION: Multiplication is commutative, meaning the order of numbers does not change the product. 10 × 12 is the same as 12 × 10.

Practice Questions

Try It Yourself

QUESTION: If a bus ticket costs Rs 10 and 15 people buy tickets, how much money is collected in total? | ANSWER: Rs 150

QUESTION: A baker makes 10 batches of cookies. If each batch has 18 cookies, how many cookies are there in total? | ANSWER: 180 cookies

QUESTION: You are making a rangoli design. You use 10 different colours, and for each colour, you need 25 grams of powder. How much powder do you need in total? | ANSWER: 250 grams

MCQ

Quick Quiz

What is the product of 10 and 12?

100

120

The Correct Answer Is:

The product of 10 and 12 is 120. Options A, B, and D are incorrect as they represent addition, an incomplete multiplication, or just one of the numbers.

Real World Connection

In the Real World

Imagine a shopkeeper in a local market. If they sell 10 packets of biscuits, and each packet costs Rs 12, they quickly calculate 10 × 12 = Rs 120 to know how much money they earned. This simple math helps them manage their daily sales using tools like a calculator or even mentally.

Key Vocabulary

Key Terms

MULTIPLICATION: A mathematical operation where a number is added to itself a certain number of times | PRODUCT: The result of multiplying two or more numbers | FACTOR: A number that is multiplied by another number to get a product | COMMUTATIVE PROPERTY: The property that states that the order of numbers in a multiplication does not change the product

What's Next

What to Learn Next

Next, you can explore multiplying larger numbers or learning about the properties of multiplication. This will help you solve more complex problems, like calculating areas of shapes or understanding percentages, which are used everywhere!