What is the 'is not equal to' symbol (≠)?

S1-SA5-0178

Grade Level:

Class 4

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

Definition

What is it?

The 'is not equal to' symbol (≠) tells us that two things are different in value or quantity. It means that the number or expression on one side is not the same as the number or expression on the other side.

Simple Example

Quick Example

Imagine you have 5 delicious laddoos and your friend has 3 laddoos. Since 5 is not the same as 3, we can write this as 5 ≠ 3. This symbol clearly shows that the number of laddoos is different.

Worked Example

Step-by-Step

Let's check if the number of wheels on a car is equal to the number of wheels on a bicycle.

Step 1: Count the wheels on a car. A car usually has 4 wheels.
---Step 2: Count the wheels on a bicycle. A bicycle usually has 2 wheels.
---Step 3: Compare the two numbers. Is 4 the same as 2?
---Step 4: No, 4 is not the same as 2.
---Step 5: So, we can write this relationship using the 'is not equal to' symbol.
---Answer: 4 ≠ 2

Why It Matters

Understanding 'not equal to' is crucial in many fields! For example, computer programmers use it to make decisions in code, and scientists use it to compare experimental results. Even financial analysts use it to compare different investment options.

Common Mistakes

MISTAKE: Confusing ≠ with = (equal to). | CORRECTION: Remember, = means 'is exactly the same as', while ≠ means 'is different from'.

MISTAKE: Using ≠ when the values are very close but still technically equal (e.g., 5.0 and 5). | CORRECTION: If the values are precisely the same, even with decimals or fractions, use =. ≠ is only for when they are truly different.

MISTAKE: Thinking ≠ only applies to numbers. | CORRECTION: It can apply to other things too, like sets of items or even shapes, to show they are not identical.

Practice Questions

Try It Yourself

QUESTION: Is 10 + 5 equal to 12? Write your answer using the correct symbol. | ANSWER: 10 + 5 = 15. Since 15 is not 12, the answer is 15 ≠ 12.

QUESTION: A cricket team scored 180 runs. The opposing team scored 179 runs. Use the correct symbol to compare their scores. | ANSWER: 180 ≠ 179

QUESTION: If a bus ticket costs ₹20 and a metro ticket costs ₹30, compare their prices using the 'is not equal to' symbol. Then, find the difference in their prices. | ANSWER: ₹20 ≠ ₹30. The difference is ₹30 - ₹20 = ₹10.

MCQ

Quick Quiz

Which statement correctly uses the 'is not equal to' symbol?

7 + 3 = 10

5 ≠ 5

12 - 4 ≠ 8

9 + 1 ≠ 11

The Correct Answer Is:

Option D is correct because 9 + 1 equals 10, and 10 is indeed not equal to 11. Options A, B, and C use the symbols incorrectly for the given values.

Real World Connection

In the Real World

When you use a food delivery app like Swiggy or Zomato, the app compares the price of your order with the minimum order value for free delivery. If your order total ≠ minimum value, it will tell you to add more items! Also, in ISRO, engineers constantly compare calculated values with actual measurements; if they are not equal, it means there's something to investigate.

Key Vocabulary

Key Terms

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

What's Next

What to Learn Next

Now that you understand 'not equal to', you can explore other comparison symbols like 'greater than' (>) and 'less than' (<). These symbols help us understand how numbers relate to each other in even more detail!