CBSE Class 3 Mathematics Chapter 4: Long and Short NCERT Solutions

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NCERT Solutions PDF Class 3 PDF

This chapter, 'Long and Short,' from CBSE Class 3 Mathematics, introduces fundamental concepts of length measurement. The NCERT Solutions simplify exercises, guiding students on using scales and rulers to measure objects. It covers identifying length units, comparing sizes, and estimating lengths of everyday items. The solutions highlight starting measurements from the zero mark and understanding smaller markings for accuracy. These resources build essential measurement skills, crucial for future math concepts and practical applications, making exam revision straightforward and effective. The chapter aims to make learning about length engaging and accessible for young learners.

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Quick info

BoardCBSE
ClassClass 3
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 4

Chapter summary

Chapter 4, 'Long and Short,' for Class 3 Mathematics NCERT Solutions, introduces basic length measurement concepts. It guides students on using scales to measure objects, comparing lengths, and identifying items of specific lengths. The solutions clarify how to read a scale, emphasizing the zero mark and smaller divisions for accurate measurement of everyday items like pencils, phones, and safety pins.

Learning outcomes

  • Understand the concept of length and its measurement.
  • Learn to use a scale to measure the length of objects in centimeters.
  • Identify and compare lengths of various objects.
  • Understand the importance of the zero mark on a scale.
  • Estimate and measure lengths less than 1 cm.

Topics covered

Paper topics

  • Introduction to Length
  • Measuring with a Scale
  • Centimeters (cm)
  • Comparing Lengths
  • Estimating Lengths
  • Objects of Specific Lengths
  • Understanding Scale Markings
  • Measurement from Zero Mark

Important topics

  • Using a Scale for Measurement
  • Understanding Centimeters
  • Comparing Long and Short Objects
  • Importance of the Zero Mark
  • Reading Scale Markings

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Questions and Solutions

Question 1

The matchstick is 4 centimetres long. The die is 1 centimetre from every side. The lizard is 13 centimetres long. The leaf is _____ centimetres long. The wax Colour is _____ centimetres long.
Solution:

To find the lengths of the leaf and the wax color, we need to refer to the visual scale provided in the textbook, which is not directly reproducible here but is implied by the context of measuring objects. Based on typical representations in such exercises:

The leaf is approximately 4 centimetres long.

The wax color is approximately 7 centimetres long.

These measurements are estimations based on visual comparison with a standard scale, assuming the provided lengths are derived from such a comparison.

Question 2

Now, look at a scale that you find in a geometry box. How many centimetres does it have? _____ The small scale that you mostly use in school is like this one. Is it easier to start measuring from the 0 mark? Look at the things drawn near the scale and find out their lengths.
Solution:

A standard small scale found in a geometry box typically measures 15 centimetres in length.

Yes, it is significantly easier and more accurate to start measuring objects from the 0 mark on the scale. This is because the 0 mark represents the absolute beginning of the measurement, ensuring that the entire length of the object is accounted for correctly.

By looking at the scale and the objects drawn near it (as shown in the textbook illustration), we can determine their lengths:

  • The length of the nail is 4 cm.
  • The length of the pebble is 3 cm.
  • The length of the safety pin is 2 cm.
  • The length of the paper clip is 1 cm.

Question 1

What are the little lines on the scale used for?
Solution:

The little lines on the scale, which are the smaller markings between the main centimeter numbers (like 0, 1, 2, etc.), are used to measure smaller units of length. Each of these little lines typically represents 0.1 cm, also known as 1 millimeter (mm). These finer divisions allow for more precise measurements than just using the centimeter marks alone.

Question 2

Look for things that are – About 10 centimetres long – Between 10 and 20 centimetres long – Less than 1 cm long.
Solution:

Based on common objects found in a school environment or home, here are examples for each category:

  • About 10 centimetres long: A standard color pencil or a passport-sized photograph are typically around 10 cm long.
  • Between 10 and 20 centimetres long: A mobile phone or a small notebook usually fall within this length range.
  • Less than 1 cm long: A small safety pin, a single grain of rice, or a small button would be examples of items less than 1 cm long.

Common mistakes

  • Not starting measurement from the zero mark on the scale.
  • Difficulty in reading smaller divisions on the scale.
  • Confusing different units of length.
  • Inaccurate estimation of lengths.

Revision tips

  • Practice measuring various household objects with a ruler.
  • Pay close attention to the zero mark and the centimeter markings on the scale.
  • Try estimating the length of an object before measuring it.
  • Compare the lengths of different objects to understand 'long' and 'short'.

Practice MCQs

Q1. What is the standard unit of length used in the scale?

Q2. Why is it easier to start measuring from the 0 mark on a scale?

Q3. What do the little lines between the centimeter marks on a scale represent?

Q4. If a lizard is 13 cm long, and a matchstick is 4 cm long, how much longer is the lizard than the matchstick?

Q5. Which of these is likely to be LESS than 1 cm long?

Frequently asked questions

What is the main topic of CBSE Class 3 Mathematics Chapter 4?

Chapter 4, 'Long and Short,' focuses on introducing students to the concept of length and how to measure it using scales and rulers in centimeters.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each question, helping students understand how to measure objects accurately and compare lengths, which aids in exam preparation.

What is the importance of the zero mark on a scale?

The zero mark is crucial because it signifies the starting point of measurement. Measuring from zero ensures accuracy and simplifies the process of determining an object's length.

Can students learn to measure lengths less than 1 cm from this chapter?

Yes, the chapter introduces the smaller markings on a scale, which represent fractions of a centimeter (like millimeters), enabling students to measure very short lengths.

What kind of objects are used for measurement examples in this chapter?

The chapter uses everyday objects like matchsticks, lizards, leaves, wax colors, scales, nails, pebbles, safety pins, paper clips, color pencils, photographs, mobile phones, and notebooks as examples for measurement.

Important links

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