What is the 'Less Than' Symbol (<)? | Simple Explanation for Class 4

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What is the 'is less than' symbol (<)?

Grade Level:

Class 4

All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry

Definition

What is it?

The 'is less than' symbol (<) is used to show that one number or quantity is smaller than another. It points towards the smaller number, like an alligator's mouth eating the smaller meal. We read it as 'is less than'.

Simple Example

Quick Example

Imagine you have 3 ladoos and your friend has 5 ladoos. Since 3 ladoos are fewer than 5 ladoos, we can write this using the 'less than' symbol as: 3 < 5. This means '3 is less than 5'.

Worked Example

Step-by-Step

Let's compare the runs scored by two cricket players, Rohit and Virat, in a match.
---STEP 1: Rohit scored 75 runs.
---STEP 2: Virat scored 80 runs.
---STEP 3: We want to show that Rohit's score is less than Virat's score.
---STEP 4: We write Rohit's score first: 75.
---STEP 5: Then we write the 'less than' symbol: <.
---STEP 6: Finally, we write Virat's score: 80.
---ANSWER: So, 75 < 80. This means '75 is less than 80'.

Why It Matters

Understanding 'less than' is crucial for comparing numbers in daily life, like checking prices at a shop or comparing test scores. In fields like Finance, it helps compare investment returns, and in Data Science, it's used to sort and filter data. Even AI uses it to make decisions based on comparing values!

Common Mistakes

MISTAKE: Confusing '<' with '>' (greater than symbol). Students often forget which way the symbol points. | CORRECTION: Remember, the 'less than' symbol (<) always points its smaller, pointy end towards the smaller number, like a hungry bird's beak pointing to the smaller worm.

MISTAKE: Thinking the symbol means 'equal to' or 'not equal to'. | CORRECTION: The 'less than' symbol specifically means one value is smaller than another. It does not mean they are the same or just different.

MISTAKE: Using the symbol incorrectly when comparing negative numbers, e.g., -5 < -2 is sometimes written as -2 < -5. | CORRECTION: Remember that on a number line, numbers to the left are smaller. So, -5 is further left than -2, meaning -5 is less than -2.

Practice Questions

Try It Yourself

QUESTION: Is 12 < 10 true or false? | ANSWER: False

QUESTION: Fill in the blank with '<' or '>': 45 ____ 54 | ANSWER: 45 < 54

QUESTION: A mobile phone costs ₹15,000 and a tablet costs ₹12,500. Write a comparison using the 'less than' symbol to show the tablet is cheaper. | ANSWER: ₹12,500 < ₹15,000

MCQ

Quick Quiz

Which statement is correct?

10 < 5

7 < 7

15 < 20

30 < 25

The Correct Answer Is:

Option C, '15 < 20', is correct because 15 is indeed a smaller number than 20. The other options are incorrect as they either compare a larger number to a smaller one or compare equal numbers.

Real World Connection

In the Real World

When you check prices on an e-commerce app like Flipkart or Amazon, you often use filters to find items 'less than' a certain price, for example, 'laptops under ₹50,000'. This uses the 'less than' concept to help you find affordable options quickly.

Key Vocabulary

Key Terms

COMPARE: To look at two or more things to see how they are similar or different. | SYMBOL: A mark or character used to represent something. | QUANTITY: An amount or number of something. | VALUE: The numerical amount or worth of something.

What's Next

What to Learn Next

Great job understanding the 'less than' symbol! Next, you should learn about the 'greater than' symbol (>) and then how to use both with 'equal to' (≤ and ≥). These concepts are like building blocks for all of mathematics!