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What is Multiplying by One?
Grade Level:
Class 2
Maths, Computing, AI
Definition
What is it?
Multiplying by one means finding out how many times a number is repeated when it's repeated only once. When you multiply any number by 1, the number stays exactly the same. It's like having one group of something.
Simple Example
Quick Example
Imagine you have 5 delicious ladoos on a plate. If you multiply these 5 ladoos by 1, it means you still have just that one group of 5 ladoos. You don't get more, you don't get less; you still have 5 ladoos.
Worked Example
Step-by-Step
Let's say a cricket team scores 150 runs in an inning. If we want to find out their score if they only played '1' such inning, what do we do?
1. Identify the number: The score is 150 runs.
2. Identify the multiplier: We are multiplying by 1.
3. Set up the multiplication: 150 x 1
4. Apply the rule: Any number multiplied by 1 is the number itself.
5. Calculate: 150 x 1 = 150
Answer: The team's score is 150 runs.
Why It Matters
Understanding multiplication by one is a basic building block for all higher maths, computing, and even AI. It's used in programming when you need to keep a value unchanged, or in data science to represent a single instance of data. Many careers like software developers, data analysts, and even scientists use this fundamental idea constantly.
Common Mistakes
MISTAKE: Thinking that multiplying by 1 makes the number zero. For example, 7 x 1 = 0 | CORRECTION: Multiplying by 1 means the number keeps its original value. So, 7 x 1 = 7.
MISTAKE: Confusing multiplication by 1 with addition of 1. For example, 10 x 1 = 11 | CORRECTION: 10 x 1 means 10 taken one time, which is 10. Adding 1 to 10 would be 10 + 1 = 11.
MISTAKE: Forgetting that the rule applies to ALL numbers, big or small. For example, thinking 1000 x 1 is different from 5 x 1 | CORRECTION: The rule 'any number multiplied by 1 is the number itself' applies universally. So, 1000 x 1 = 1000 and 5 x 1 = 5.
Practice Questions
Try It Yourself
QUESTION: If a packet of biscuits costs Rs 20, and you buy 1 packet, how much do you pay? | ANSWER: Rs 20
QUESTION: What is 456 multiplied by 1? | ANSWER: 456
QUESTION: A farmer has 78 mango trees. If he counts each tree as '1 group' of itself, how many trees does he have in total according to multiplication by one? | ANSWER: 78 trees
MCQ
Quick Quiz
Which of these statements is true?
Multiplying by 1 makes the number bigger.
Multiplying by 1 makes the number zero.
Multiplying by 1 keeps the number the same.
Multiplying by 1 is the same as adding 1.
The Correct Answer Is:
C
When you multiply any number by 1, the value of the number does not change. It remains exactly the same. Options A, B, and D are incorrect because they describe different mathematical operations.
Real World Connection
In the Real World
In computer programming, if you have a variable storing a student's marks, say `score = 85`. If you want to process this score without changing its value, you might internally use `new_score = score * 1`. This ensures the score remains 85. This simple idea is fundamental in building apps, games, and even the logic behind UPI transactions where values need to be preserved.
Key Vocabulary
Key Terms
MULTIPLY: To combine equal groups or repeated addition | PRODUCT: The result of multiplication | IDENTITY PROPERTY OF MULTIPLICATION: The rule that any number multiplied by 1 is the number itself | FACTOR: A number that is multiplied by another number
What's Next
What to Learn Next
Great job understanding multiplication by one! Next, you should explore 'Multiplying by Zero'. This concept will show you what happens when you have zero groups of something, which is another crucial rule in mathematics and computing.
