What is a True Equation?

S1-SA5-0584

Grade Level:

Class 4

Maths, Computing, AI, Logic

Definition

What is it?

A true equation is a mathematical statement where the value on the left side of the equals sign (=) is exactly the same as the value on the right side. It's like a balanced weighing scale, where both sides hold the same amount.

Simple Example

Quick Example

Imagine you have 5 laddoos and your friend gives you 3 more. So, you have 5 + 3 laddoos. If someone says you now have 8 laddoos, then the equation '5 + 3 = 8' is true because 5 + 3 is indeed 8.

Worked Example

Step-by-Step

Let's check if '12 + 7 = 20' is a true equation.
1. Look at the left side of the equals sign: 12 + 7.
2. Add the numbers on the left side: 12 + 7 = 19.
3. Now look at the right side of the equals sign: 20.
4. Compare the value from the left side (19) with the value on the right side (20).
5. Is 19 equal to 20? No, 19 is not equal to 20.
6. So, '12 + 7 = 20' is NOT a true equation. It is a false equation.

Why It Matters

Understanding true equations is key to solving problems in maths, science, and even coding. Engineers use them to design bridges, computer programmers use them to write software, and data scientists use them to analyze information. It's the foundation for logical thinking in many exciting careers!

Common Mistakes

MISTAKE: Only looking at one side of the equation. For example, seeing '5 + 4 = 9' and just thinking '5 + 4 is 9' without checking the right side. | CORRECTION: Always calculate both sides (if needed) and then compare. Both sides MUST be equal for it to be a true equation.

MISTAKE: Confusing a true equation with a calculation. Students might think '8 + 2' is an equation. | CORRECTION: An equation always has an equals sign (=) and compares two expressions. '8 + 2' is just an expression; '8 + 2 = 10' is a true equation.

MISTAKE: Making calculation errors on one side and thinking the equation is true or false based on that. | CORRECTION: Double-check your arithmetic on both sides before deciding if the equation is true or false.

Practice Questions

Try It Yourself

QUESTION: Is '9 - 3 = 6' a true equation? | ANSWER: Yes

QUESTION: Is '4 x 5 = 20 + 1' a true equation? | ANSWER: No

QUESTION: Your friend says, 'If I have 15 rupees and spend 7 rupees, I'll have 9 rupees left.' Write this as an equation and say if it's true or false. | ANSWER: 15 - 7 = 9. This is a false equation because 15 - 7 is 8, not 9.

MCQ

Quick Quiz

Which of these is a true equation?

10 + 5 = 14

7 x 2 = 14

18 - 3 = 16

25 / 5 = 6

The Correct Answer Is:

Option B is correct because 7 multiplied by 2 equals 14, which is the same as the right side. All other options have different values on the left and right sides.

Real World Connection

In the Real World

When you buy items at a kirana store and the shopkeeper calculates the total, say for 2 packets of biscuits at ₹10 each and 1 juice at ₹25, they are checking if '2 x 10 + 25 = Total Bill' is true. Your mobile banking app (like Google Pay or PhonePe) uses true equations to make sure the money you send matches the money received.

Key Vocabulary

Key Terms

EQUATION: A mathematical statement showing two expressions are equal | EQUALS SIGN (=): The symbol used to show that two values are the same | EXPRESSION: A combination of numbers and operations (like 5 + 3) | TRUE EQUATION: An equation where both sides have the same value

What's Next

What to Learn Next

Now that you know what a true equation is, you're ready to learn about 'Solving Simple Equations'. This will teach you how to find missing numbers that make an equation true, which is a super important skill!