Inaugurated by IN-SPACe
ISRO Registered Space Tutor
S0-SA1-1002
What is a Number Less Than (Quantity)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
A number less than a given quantity means any number that has a smaller value than that quantity. When you compare two numbers, the 'less than' number is always closer to zero or further to the left on a number line.
Simple Example
Quick Example
Imagine you have 5 delicious gulab jamuns. If your friend has a number of gulab jamuns 'less than 5', it means they could have 4, 3, 2, 1, or even 0 gulab jamuns. They cannot have 5 or more.
Worked Example
Step-by-Step
Let's find numbers less than 7.
Step 1: Understand what 'less than' means. It means smaller in value.
---
Step 2: Start from 7 and think of numbers that come before it when counting downwards.
---
Step 3: The number directly before 7 is 6. So, 6 is less than 7.
---
Step 4: Keep going downwards: 5 is less than 7, 4 is less than 7, 3 is less than 7, 2 is less than 7, 1 is less than 7, and 0 is less than 7.
---
Step 5: You can also think of negative numbers. For example, -1 is also less than 7.
---
Answer: Numbers less than 7 include 6, 5, 4, 3, 2, 1, 0, -1, and so on.
Why It Matters
Understanding 'less than' is fundamental for comparing quantities in everyday life and in advanced mathematics. It's crucial for careers like data analysis, where you compare sales figures, or in engineering, where you ensure a component's size is less than a certain limit for it to fit. Even in finance, comparing interest rates involves this concept.
Common Mistakes
MISTAKE: Including the quantity itself when asked for 'less than' | CORRECTION: 'Less than' means strictly smaller. If you need numbers less than 5, do not include 5. Start from 4, 3, 2, and so on.
MISTAKE: Confusing 'less than' with 'less than or equal to' | CORRECTION: 'Less than' ( < ) means the number must be strictly smaller. 'Less than or equal to' ( <= ) means the number can be smaller OR exactly the same as the given quantity.
MISTAKE: Only thinking of positive numbers | CORRECTION: Numbers less than a quantity can also include zero and negative numbers, especially when the quantity itself is positive.
Practice Questions
Try It Yourself
QUESTION: Name three whole numbers less than 10. | ANSWER: 9, 8, 7 (or any other three whole numbers smaller than 10)
QUESTION: Your mobile data plan gives you 2 GB per day. How much data (in GB) would you have used if you used a quantity 'less than' your daily limit? Give one possible answer. | ANSWER: 1.5 GB (or any number less than 2, like 1.9 GB, 1 GB, 0.5 GB)
QUESTION: A shop offers a discount if your bill is less than Rs 500. If your bill is Rs 499.50, do you get the discount? What if your bill is exactly Rs 500? | ANSWER: Yes, you get the discount if your bill is Rs 499.50 because 499.50 is less than 500. No, you do not get the discount if your bill is exactly Rs 500 because 500 is not less than 500.
MCQ
Quick Quiz
Which of these numbers is NOT less than 15?
14
10
15
The Correct Answer Is:
D
15 is not less than 15; it is equal to 15. The other options (14, 10, 0) are all smaller in value than 15.
Real World Connection
In the Real World
When you buy groceries, the cashier might tell you that your total bill is less than Rs 1000, so you can pay with a Rs 1000 note. Or, when a cricket team is chasing a target, the commentator might say 'they need less than 50 runs to win', meaning they need 49 runs or fewer.
Key Vocabulary
Key Terms
LESS THAN: Smaller in value | QUANTITY: An amount or number | COMPARE: To check how things are similar or different | VALUE: The worth or amount of something
What's Next
What to Learn Next
Now that you understand 'less than', you're ready to explore 'greater than' and 'equal to'. These concepts will help you compare numbers even more effectively and build a strong foundation for inequalities in algebra!
