NCERT Class 7 Mathematics Ganita Prakash: Chapter 3 — A Peek Beyond the Point
This chapter, "The Need for Smaller Units," from NCERT Class 7 Mathematics Ganita Prakash, introduces the concept of measurement and the necessity of using smaller units for accuracy. Through the story of Sonu and his mother fixing a toy with screws, students learn that even slight differences in length can be significant. The chapter explains how a unit length on a scale is divided into smaller parts, specifically tenths, to measure lengths like 2 7/10 cm and 3 2/10 cm. It emphasizes the importance of precise measurement and encourages students to measure everyday objects like pens and sharpeners using a scale. This foundational understanding of units and measurement is crucial for further mathematical concepts in the CBSE curriculum.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 7 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Chapter 3 — A Peek Beyond the Point |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 379 |
Learning outcomes
- Understand the importance of using smaller units for accurate measurement.
- Interpret and measure lengths using decimal fractions (tenths) on a scale.
- Relate the concept of measurement to real-life scenarios.
- Practice measuring common objects using a ruler.
Vocabulary
| Word | Meaning |
|---|---|
| Screw | A metal pin with a spiral thread, used for fastening things together. |
| Scale | A device for measuring weight or size, typically a ruler marked with units of length. |
| Length | The measurement or extent of something from end to end. |
| Unit | A standard quantity used in measurement. |
| Tenth | One of ten equal parts of a whole. |
| Accurately | In a way that is correct in all details; exactly. |
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Practice questions
- Why was Sonu's mother unable to fix the toy initially? Answer: Sonu's mother was unable to fix the toy because the screw was not of the right size.
- What is the meaning of 2 7/10 cm? Answer: 2 7/10 cm means two centimeters and seven-tenths of a centimeter.
- Which scale helped measure the screws accurately and why? Answer: The scale divided into smaller parts (tenths) helped measure the screws accurately because it allowed for precise measurement of slight differences in length.
- Name two objects you can measure using a scale. Answer: A pen and a sharpener can be measured using a scale.
Frequently asked questions
What is the main idea of Chapter 3 of NCERT Class 7 Mathematics?
The chapter explains the importance of using smaller units for accurate measurements, especially when dealing with small differences in length, using examples like screws and scales.
How are lengths like 2 7/10 cm read?
Lengths like 2 7/10 cm are read as 'two and seven-tenth centimeters'.
Why is it important to measure accurately?
Accurate measurement is important because even small differences in size, like the length of a screw, can significantly affect how things work or fit together.
What does it mean when a unit is divided into 10 equal parts on a scale?
It means each part represents one-tenth (1/10) of the unit, allowing for more precise measurements than whole units alone.
What everyday objects can be measured using a scale?
Everyday objects like a pen, a sharpener, a pencil, or the width of a book can be measured using a scale.
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Topics covered
NCERT Class 7 Mathematics — Ganita Prakash — Chapter 3 — A Peek Beyond the Point. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.