CBSE Class 4 Mathematics NCERT Solutions: Unit-2 Long And Short
This chapter, Long and Short, from CBSE Class 4 Mathematics, introduces students to the fascinating world of measurement and comparison of lengths. Through engaging activities, children will learn to estimate and measure distances, understanding the importance of units like centimeters. The exercises are designed to sharpen their estimation skills and familiarize them with measuring tools such as scales. A delightful story about Birbal further illustrates the concepts of making lines and shapes longer or shorter. These NCERT Solutions offer clear, step-by-step guidance to help students master the art of measuring, comparing, and manipulating lengths, laying a solid groundwork for their future studies in geometry and measurement.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 4 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Unit-2 Long And Short |
Chapter summary
Unit 2, "Long And Short," for Class 4 Mathematics NCERT Solutions, covers basic measurement concepts. It includes exercises on guessing and measuring distances in centimeters using a scale, comparing lengths, and understanding relative size by making lines and drawings longer or shorter. The solutions aim to build practical measurement skills and introduce comparative length concepts through engaging activities.
Learning outcomes
- Understand the concept of length and distance.
- Practice guessing and measuring distances in centimeters.
- Use a scale or ruler accurately for measurement.
- Compare lengths to determine which is longer or shorter.
- Apply the concept of relative length to modify drawings.
Topics covered
Paper topics
- Measurement of Length
- Units of Length (Centimeter)
- Guessing Distances
- Measuring with a Scale
- Comparing Lengths
- Making Lines Longer/Shorter
- Relative Measurement
Important topics
- Measuring distances accurately using a scale
- Comparing lengths to identify the longest and shortest
- Understanding the concept of relative length
- Practical application of measurement in daily life
PDF preview
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Questions and Solutions
Question 1
This question involves two parts: guessing and then measuring the distance between dots. Students should use a ruler to measure the distances accurately after making their guesses.
Here are the actual measured distances between some of the dots:
- A to B = 3 cm
- B to C = 5.8 cm
- C to D = 6.8 cm
- D to K = 7.5 cm
- H to O = 9.5 cm
- D to H = 9 cm
- G to K = 9 cm
- G to M = 9.6 cm
- O to M = 10 cm
- O to H = 9.5 cm
- K to H = 6 cm
- M to H = 4.7 cm
- O to D = 1 cm
Comparing the guessed distances with the actual measured distances helps students understand the accuracy of their estimation skills.
Question 2
A to B = 3 cm
B to C = 5.8cm
C to D = 6.8cm
D to K = 7.5cm
H to O = 9.5cm
D to H = 9cm
G to K = 9 cm
G to M = 9.6cm
O to M = 10cm
O to H = 9.5cm
K to H = 6cm
M to H = 4.7cm
O to D = 1 cm
This instruction asks students to continue the process of guessing and measuring distances between various dots, similar to the previous question. The provided list shows the actual measured distances for several pairs of dots. Students should perform these measurements themselves using a scale and record their findings.
For example, students would measure the distance between A and B, guess it first, and then use a ruler to find the actual measurement, which is given as 3 cm.
Question 3
This question requires students to create a table (which is not provided in the source text) and fill it with the distances they measure between different pairs of dots. The process involves using a scale to measure each distance and then recording it in the appropriate cell of their table. This activity reinforces measurement skills and data recording.
Question 4
To find the two dots that are farthest from each other, students need to measure the distances between various pairs of dots and compare these measurements. Based on the provided actual distances, the pair of dots that are farthest apart are M and O.
Answer: The dots M and O are farthest from each other. The distance between M and O is 10 cm.
Question 5
To identify the nearest dots, students should measure the distances between different pairs of dots and find the smallest measurement. According to the given measurements, the pair of dots with the shortest distance between them are D and O.
Answer: The dots D and O are nearest to each other. The distance between D and O is 1 cm.
Question 6
This question refers to a story where Birbal cleverly made a line drawn by Akbar appear shorter. Birbal achieved this not by erasing or shortening Akbar's line, but by drawing a longer line next to it. This comparison made Akbar's original line seem shorter in relation to the new, longer line.
Answer: Birbal drew a longer line below the line drawn by Akbar.
Question 7
A drawing of an arm is shown here.
This task requires students to draw a new arm where the right arm is exactly 1 cm longer than the left arm. To do this, they first need to measure the length of the left arm in the given drawing. Let's assume the left arm measures 'L' cm. Then, the right arm should be drawn to measure 'L + 1' cm. Students should use a ruler to ensure the correct length is achieved.
Question 8
A drawing of a cup is shown here.
To draw a cup that is 1 cm shorter than the one shown, students must first measure the height of the given cup using a ruler. Let's say the height of the given cup is 'H' cm. The new cup should then be drawn with a height of 'H - 1' cm. This exercise helps in understanding how to reduce a measurement by a specific amount.
Answer: The cup drawn in the figure is 1 cm shorter.
Common mistakes
- Inaccurate reading of the scale.
- Difficulty in estimating distances before measuring.
- Confusing 'longer' and 'shorter' in comparisons.
- Errors in adding or subtracting lengths.
Revision tips
- Practice measuring various objects around you using a scale.
- Focus on estimating distances before measuring to improve accuracy.
- Review the examples of making lines longer and shorter.
- Ensure you understand the difference between guessed and actual measurements.
Practice MCQs
Q1. What unit of measurement is primarily used in this chapter?
Explanation: The chapter focuses on measuring smaller distances, and the solutions consistently use centimeters (cm) as the unit of measurement.
Q2. Which pair of dots were found to be nearest to each other?
Explanation: The solution explicitly states that dots D and O are the nearest to each other, with a distance of 1 cm.
Q3. According to the story, how did Birbal make Akbar's line shorter?
Explanation: Birbal's clever trick involved drawing a longer line below Akbar's line, making Akbar's line appear shorter in comparison.
Q4. If a line is 5 cm long, and you need to make it 1 cm shorter, how long will the new line be?
Explanation: To make the line 1 cm shorter, you subtract 1 cm from the original length: 5 cm - 1 cm = 4 cm.
Q5. Which pair of dots were found to be farthest from each other?
Explanation: The solutions identify dots M and O as being the farthest apart, with a measured distance of 10 cm.
Frequently asked questions
What is the main focus of the 'Long And Short' unit in Class 4 Maths?
The unit focuses on understanding and measuring lengths, comparing distances, and developing skills in estimation using centimeters as the primary unit.
How do these NCERT Solutions help students?
These solutions provide clear, step-by-step answers and explanations for all exercises, helping students understand measurement concepts and practice their skills for better exam preparation.
What is the importance of measuring distances in this chapter?
Measuring distances helps students develop practical skills with a ruler, understand the concept of length, and learn to compare different measurements accurately.
How can students use the Birbal story example?
The Birbal story illustrates the concept of relative length – how one line can be made to appear shorter by drawing a longer one next to it, teaching comparison without direct subtraction.
What are the key units of measurement used in this chapter?
The primary unit of measurement used throughout this chapter is the centimeter (cm).
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