How to Represent 2.546 on the Number Line | Class 9 Maths | Decimal Representation Made Easy
In this video, we will learn how to represent a decimal number like 2.546 on the number line using a ruler and step-by-step division method. This topic is part of Class 9 and 10 Mathematics, under the chapter Real Numbers, and is essential for understanding decimal expansions, number system, and the placement of decimal values on the number line.
Decimal numbers are part of rational numbers, and they can be accurately placed between two integers using successive magnification or division techniques.
🎯 What Will You Learn?
What type of number is 2.546 (rational number)
How to break down 2.546 into parts (units, tenths, hundredths, thousandths)
Step-by-step method to draw and locate 2.546 on a number line
How to use a ruler to mark decimal places accurately
Understanding decimal expansion through visual learning
🧠 Concept in Brief:
To represent 2.546 on a number line:
1️⃣ First, identify the two whole numbers between which 2.546 lies: between 2 and 3
2️⃣ Divide the segment between 2 and 3 into 10 equal parts (for tenths)
👉 Locate 2.5
3️⃣ Divide the segment between 2.5 and 2.6 into 10 equal parts (for hundredths)
👉 Locate 2.54
4️⃣ Divide the segment between 2.54 and 2.55 into 10 equal parts (for thousandths)
👉 Locate 2.546
This method is called successive magnification, and it's a precise and logical way to graph decimal numbers on a number line using geometry and measurement tools like a scale and pencil.
📏 Tools You Need:
Ruler (with millimetre scale)
Pencil
Plain or graph paper
Patience and accuracy
🎓 Who Should Watch This Video?
Class 6 to 10 students (CBSE, ICSE, State Boards)
Students learning decimal numbers
Anyone revising number system and rational numbers
Competitive exam aspirants (NTSE, Olympiad)
📽️ Why Watch This Video?
Learn visualisation of decimal numbers
Understand place value and decimal precision
Boost geometry and number system concepts
Helps in math projects and activity-based learning
Clear audio-visual explanation with examples
💡 Pro Tip: You can try plotting other decimal numbers like 3.142, 4.25, or 0.739 using the same method.
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