CBSE Class 4 Mathematics Chapter 2: Long and Short NCERT Solutions
CBSE Class 4 Mathematics Chapter 2, 'Long and Short,' introduces fundamental concepts of length measurement and comparison. The NCERT Solutions offer engaging exercises designed to help students estimate distances, use scales for accurate measurement, and compare objects by their lengths. Key learning objectives include guessing distances, identifying the closest and farthest points, and drawing objects to scale. These activities are vital for developing practical measurement skills essential for daily life and future math learning. Through these problems, students will sharpen their observation abilities and learn to apply measurement tools effectively, preparing them thoroughly for assessments.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 4 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Chapter 2 |
Chapter summary
Chapter 2, 'Long and Short,' for Class 4 Mathematics NCERT Solutions, introduces fundamental concepts of length measurement. It guides students through estimating and measuring distances between points, identifying the greatest and smallest distances, and comparing lengths of various objects. The exercises encourage practical application of scales and foster an understanding of relative sizes. This chapter lays the groundwork for more complex measurement topics in subsequent grades.
Learning outcomes
- Understand the concept of length and distance.
- Estimate distances between objects.
- Measure distances accurately using a scale.
- Compare lengths to identify the farthest and nearest objects.
- Draw objects with specified relative lengths.
Topics covered
Paper topics
- Introduction to Length
- Estimating Distances
- Measuring Distances
- Comparing Lengths
- Farthest and Nearest Objects
- Relative Lengths (Longer, Shorter, Double, Half)
Important topics
- Measuring with a Scale
- Comparing Farthest and Nearest Distances
- Understanding Relative Lengths
- Practical Measurement Skills
PDF preview
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Questions and Solutions
Question 1
Guess the distance between any two dots. How many centimetres is it? Now measure it with the help of a scale. Did you guess right?
Which two dots do you think are farthest from each other? Check your answer.
Which two dots are nearest to each other? Check your answer.
This question encourages practical measurement and estimation skills. Students are expected to interact with a diagram (not provided here) showing several dots.
- Guessing and Measuring Distance: First, look at the dots and make an educated guess about the distance between two specific dots in centimetres. For example, you might guess the distance between dot A and dot B is 5 cm. Then, use a ruler or measuring scale to measure the actual distance between these two dots. Compare your guess with the measured value and note down if you were correct or how close your guess was.
- Farthest Dots: To find the dots that are farthest apart, visually scan the diagram and identify the pair of dots that appear to have the greatest distance between them. You can then measure the distance between these suspected dots. If this distance is greater than the distance between any other pair of dots you measure, then these are the farthest dots.
- Nearest Dots: Similarly, to find the dots that are nearest to each other, look for the pair of dots that seem closest together. Measure the distance between them. If this distance is smaller than the distance between any other pair of dots, then these are the nearest dots.
Note: The actual answers will depend on the specific diagram provided in the textbook. Students should perform these measurements themselves.
Question 1 (Try This)
Make her right arm 1 cm longer than the left arm.
Draw a cup 1 cm shorter than this cup.
Draw a broom half as long as this broom.
Draw another hair of double the length.
These instructions require students to draw figures based on relative length comparisons. This helps in understanding concepts like 'longer than', 'shorter than', 'half as long', and 'double the length'.
- Right arm 1 cm longer than the left arm: If you have a drawing of a person or an animal with a left arm, measure its length. Then, draw the right arm such that it is exactly 1 cm longer than the measured length of the left arm.
- Draw a cup 1 cm shorter than this cup: Look at the given picture of a cup. Measure its height or width. Draw a new cup that is 1 cm shorter in height (or width, depending on what is being compared) than the original cup.
- Draw a broom half as long as this broom: Observe the image of the broom. Measure its length. To draw a broom half as long, you need to draw a new broom whose length is exactly half of the original broom's length. For example, if the original broom is 10 cm long, the new one should be 5 cm long.
- Draw another hair of double the length: Look at the drawing of a strand of hair. Measure its length. To draw another hair of double the length, draw a new strand of hair that is twice as long as the original one. If the original hair is 3 cm long, the new one should be 6 cm long.
Note: These are drawing activities. Students need to use a scale to perform the measurements and then draw accordingly. The exact drawings will vary based on the provided images in the textbook.
Common mistakes
- Inaccurate estimation of distances.
- Errors in using a measuring scale.
- Difficulty in comparing and ordering lengths.
- Misinterpreting relative length instructions (e.g., 'longer than', 'shorter than', 'double').
Revision tips
- Practice estimating distances in your surroundings before measuring.
- Ensure you are using the scale correctly, aligning the zero mark accurately.
- Pay close attention to the wording when comparing lengths (e.g., 'farthest', 'nearest').
- Use real-life objects to practice drawing items with relative lengths.
Practice MCQs
Q1. What is the primary focus of the 'Long and Short' chapter?
Explanation: The chapter 'Long and Short' is dedicated to teaching students how to estimate, measure, and compare lengths and distances.
Q2. When measuring the distance between two dots, what is the first step suggested?
Explanation: The chapter suggests first guessing the distance between the dots before measuring it with a scale.
Q3. Which of the following is NOT an activity in the 'Try This' section?
Explanation: The 'Try This' section involves drawing a broom half as long, not a longer broom.
Q4. What does it mean to draw a broom 'half as long'?
Explanation: Drawing an object 'half as long' means creating an object with a length that is precisely 50% of the original object's length.
Frequently asked questions
What is the main goal of CBSE Class 4 Maths Chapter 2?
The main goal is to help students understand and practice measuring and comparing lengths and distances accurately.
How do the NCERT Solutions for 'Long and Short' help students?
These solutions provide clear explanations and rewritten answers to help students grasp concepts like estimation, measurement using a scale, and comparing lengths.
What kind of exercises are included in this chapter?
The chapter includes exercises where students guess, measure distances between dots, and draw objects with specified relative lengths, like shorter cups or double-length hair.
Why is it important to guess the distance before measuring?
Guessing helps students develop estimation skills and provides a basis for comparison with the actual measured value, improving their understanding of scale.
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