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What is a Number Less Than (value)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
A number less than a given value is any number that comes before that value when you count upwards. It means the number has a smaller quantity or amount compared to the given value. Think of it like being shorter or having fewer items.
Simple Example
Quick Example
Imagine you have 5 delicious ladoos. If your friend has a number of ladoos less than 5, it means they could have 4 ladoos, 3 ladoos, 2 ladoos, 1 ladoo, or even 0 ladoos. They definitely don't have 5 or more.
Worked Example
Step-by-Step
Let's find numbers less than 7.
1. Start with the number 7.
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2. Think about counting backwards from 7.
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3. The first number you say before 7 is 6.
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4. Keep counting backwards: 5, 4, 3, 2, 1.
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5. You can also include 0, as 0 is less than any positive number.
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6. So, the numbers less than 7 are 6, 5, 4, 3, 2, 1, and 0.
Answer: 6, 5, 4, 3, 2, 1, 0
Why It Matters
Understanding 'less than' is super important for comparing things in daily life and in advanced math. From managing your pocket money to coding games, this basic idea helps. Engineers use it to compare measurements, and data analysts use it to filter information.
Common Mistakes
MISTAKE: Including the given number itself. For example, saying 5 is less than 5. | CORRECTION: 'Less than' means strictly smaller. So, 5 is NOT less than 5; it is equal to 5. Numbers less than 5 are 4, 3, 2, 1, 0, etc.
MISTAKE: Getting confused with negative numbers. For example, thinking -1 is greater than 0. | CORRECTION: On a number line, numbers to the left are always smaller. So, -1 is less than 0, and -5 is less than -2.
MISTAKE: Only thinking about whole numbers. For example, saying only 3 is less than 4. | CORRECTION: Numbers can also be fractions or decimals! 3.5 is less than 4, and 3/4 is less than 1. Don't forget numbers between whole numbers.
Practice Questions
Try It Yourself
QUESTION: Name two whole numbers less than 3. | ANSWER: 2, 1 (or 0)
QUESTION: Is 10 less than 8? Explain why. | ANSWER: No, 10 is not less than 8. Because 10 comes after 8 when counting, it is a larger number.
QUESTION: You want to buy a samosa that costs Rs 15. Your friend has Rs 12. Does your friend have an amount less than the cost of the samosa? | ANSWER: Yes, Rs 12 is less than Rs 15.
MCQ
Quick Quiz
Which of these numbers is NOT less than 10?
9
7
10
The Correct Answer Is:
C
The correct answer is C. 'Less than' means a smaller value. 9, 7, and 0 are all smaller than 10. 10 is equal to 10, not less than 10.
Real World Connection
In the Real World
When you set a budget for your monthly mobile data, say 10 GB, you want to make sure your usage is always less than 10 GB to avoid extra charges. Or, when you check cricket scores, if your team needs less than 50 runs to win, it means they need 49 runs or fewer.
Key Vocabulary
Key Terms
LESS THAN: Smaller in quantity or amount | COMPARE: To check how two or more things are similar or different | VALUE: The numerical amount of something | WHOLE NUMBERS: Counting numbers (0, 1, 2, 3...) | NEGATIVE NUMBERS: Numbers less than zero (-1, -2, -3...)
What's Next
What to Learn Next
Great job understanding 'less than'! Now, you're ready to explore 'What is a Number Greater Than (value)?' This will help you fully grasp how to compare any two numbers and build a strong foundation for future math concepts.
