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What is a Different Number (concept)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
A 'different number' simply means a number that is not the same as another number. When you compare two numbers, if they have different values, then they are different numbers. It's about seeing if two things are exactly alike or not.
Simple Example
Quick Example
Imagine you have two cricket scores. Team A scored 150 runs, and Team B scored 145 runs. Are these scores the same? No, 150 is not the same as 145. So, 150 and 145 are different numbers.
Worked Example
Step-by-Step
Let's check if the number of laddoos in two boxes is different.
Step 1: Count the laddoos in Box 1. Let's say Box 1 has 8 laddoos.
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Step 2: Count the laddoos in Box 2. Let's say Box 2 has 8 laddoos.
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Step 3: Compare the count from Box 1 (8) with the count from Box 2 (8).
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Step 4: Are 8 and 8 the same number? Yes, they are.
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Step 5: Since 8 and 8 are the same, the number of laddoos in the two boxes is NOT different.
Answer: The numbers are not different because both boxes have 8 laddoos.
Why It Matters
Understanding different numbers is the very first step in comparing things, which is crucial in maths and daily life. It helps you decide which option is better, like which mobile plan offers more data or which shop has a lower price. Engineers use it to compare measurements, and scientists compare data to draw conclusions.
Common Mistakes
MISTAKE: Thinking that 'different' means 'bigger' or 'smaller'. | CORRECTION: 'Different' just means 'not the same'. A number can be different by being bigger OR smaller.
MISTAKE: Not comparing the exact values, just looking at the number of digits. For example, thinking 100 and 99 are not different because they are 'close'. | CORRECTION: Always compare the actual values. 100 is definitely different from 99.
MISTAKE: Confusing the concept of 'different number' with 'odd' or 'even'. | CORRECTION: 'Different' is about comparison between two numbers, not a property of a single number itself.
Practice Questions
Try It Yourself
QUESTION: Are the number of wheels on an auto-rickshaw and the number of wheels on a bicycle different? | ANSWER: Yes, an auto-rickshaw has 3 wheels and a bicycle has 2 wheels. 3 and 2 are different numbers.
QUESTION: Your friend scored 85 marks in Science, and you scored 85 marks. Are your scores different? | ANSWER: No, both scores are 85, which is the same number.
QUESTION: A chaiwala sells 50 cups of chai on Monday morning and 55 cups on Tuesday morning. Are the number of cups sold different? If yes, by how much? | ANSWER: Yes, 50 and 55 are different numbers. The difference is 55 - 50 = 5 cups.
MCQ
Quick Quiz
Which pair of numbers is different?
7 and 7
12 and 12
9 and 10
50 and 50
The Correct Answer Is:
C
9 and 10 are not the same value, so they are different numbers. Options A, B, and D show pairs where both numbers are identical.
Real World Connection
In the Real World
When you use a shopping app like Flipkart or Amazon, you often compare prices of the same product from different sellers. If one seller lists a mobile phone for ₹15,000 and another for ₹14,999, the app helps you see that these are different numbers, allowing you to choose the cheaper option.
Key Vocabulary
Key Terms
COMPARE: To check how two or more things are alike or unalike. | VALUE: The quantity or amount that a number represents. | SAME: Exactly alike; identical. | NOT EQUAL: Another way to say 'different' in mathematics. | GREATER THAN: A number having a larger value than another. | LESS THAN: A number having a smaller value than another.
What's Next
What to Learn Next
Now that you understand what 'different numbers' are, you're ready to learn about comparing numbers using symbols like '>' (greater than) and '<' (less than). This will help you quickly tell which number is bigger or smaller!
