What is a Number Less Than?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A number 'less than' another number means it has a smaller value. On a number line, a number less than another will always be to its left. It helps us compare the sizes of different numbers.

Simple Example

Quick Example

Imagine your friend scored 85 marks in a test, and you scored 80 marks. Your score, 80, is less than your friend's score, 85, because 80 has a smaller value. This means your friend scored more than you.

Worked Example

Step-by-Step

Question: Which number is less than 15 among 12, 18, and 20? --- Step 1: Understand what 'less than' means. It means finding a number that has a smaller value than 15. --- Step 2: Look at the first option, 12. Compare 12 with 15. Is 12 smaller than 15? Yes. --- Step 3: Look at the second option, 18. Compare 18 with 15. Is 18 smaller than 15? No, 18 is bigger. --- Step 4: Look at the third option, 20. Compare 20 with 15. Is 20 smaller than 15? No, 20 is bigger. --- Answer: The number less than 15 is 12.

Why It Matters

Understanding 'less than' is super important for everyday math and problem-solving. It's used in budgeting your pocket money, comparing prices while shopping, and even in advanced fields like data science and engineering to sort information. Many careers, from a shopkeeper to a software developer, rely on comparing numbers.

Common Mistakes

MISTAKE: Confusing 'less than' with 'greater than'. For example, thinking 10 is less than 5. | CORRECTION: Always remember 'less than' means a smaller value. 5 is less than 10, not the other way around.

MISTAKE: Not considering negative numbers correctly. For example, thinking -5 is less than -10. | CORRECTION: For negative numbers, the number further away from zero (to the left on the number line) is smaller. So, -10 is less than -5.

MISTAKE: Only comparing the first digit of numbers. For example, thinking 25 is less than 100 because 2 is less than 1. | CORRECTION: Always compare numbers digit by digit from left to right, or by their place value, especially when they have different numbers of digits.

Practice Questions

Try It Yourself

QUESTION: Is 45 less than 54? | ANSWER: Yes

QUESTION: Arrange these numbers from least to greatest: 72, 27, 45, 90. | ANSWER: 27, 45, 72, 90

QUESTION: A mobile data plan gives you 2 GB per day. If you have used 1.5 GB today, how much data is remaining? Is 1.5 GB less than 2 GB? | ANSWER: Remaining data: 0.5 GB. Yes, 1.5 GB is less than 2 GB.

MCQ

Quick Quiz

Which of these numbers is less than 35?

The Correct Answer Is:

Option C, 30, has a smaller value than 35, so it is less than 35. Options A, B, and D are all equal to or greater than 35.

Real World Connection

In the Real World

When you are checking prices for a new smartphone online, you often filter results to show phones 'less than' a certain price, say ₹15,000. This helps you quickly find options within your budget. Similarly, when checking cricket scores, you might want to know if a team's current score is less than the target score to win.

Key Vocabulary

Key Terms

LESS THAN: Having a smaller value | GREATER THAN: Having a larger value | COMPARE: To check how two or more things are similar or different | VALUE: The quantity or amount represented by a number | NUMBER LINE: A visual representation of numbers in order

What's Next

What to Learn Next

Great job understanding 'less than'! Next, you should explore 'What is a Number Greater Than?' and 'Comparing Numbers'. These concepts build directly on what you've learned and will help you become a master at comparing any two numbers.