NCERT Class 7 Mathematics Ganita Prakash-II: Chapter 4 — Another Peek Beyond the Point
This chapter, 'A Quick Recap of Decimals,' from NCERT's Ganita Prakash-II for Class 7 Mathematics, revisits the concept of decimals as an extension of the Indian place value system. It explains how decimals represent fractions with denominators like 10, 100, 1000, and so on. The chapter uses examples like 27.53 to illustrate the place value of digits in decimals (tens, units, tenths, hundredths). It also introduces the idea of performing multiplication and division operations with decimals, stating that these procedures are natural extensions of operations with whole numbers. The text includes interactive elements like a game between Jonali and Pallabi and a practical market scenario to reinforce understanding of decimal conversions and calculations, preparing students for more advanced decimal operations in CBSE curriculum.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 7 |
| Subject | Mathematics |
| Book | Ganita Prakash-II |
| Chapter | Chapter 4 — Another Peek Beyond the Point |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 302 |
Learning outcomes
- Understand decimals as an extension of the place value system.
- Represent decimal fractions using tenths, hundredths, and thousandths.
- Convert between fractions and decimals.
- Perform basic operations (multiplication and division) with decimals.
- Apply decimal concepts to real-world scenarios like market purchases.
Vocabulary
| Word | Meaning |
|---|---|
| Decimals | Numbers expressed using a decimal point, representing fractions with denominators that are powers of 10. |
| Place Value System | A system where the value of a digit depends on its position in the number. |
| Decimal Fractions | Fractions whose denominators are powers of 10 (e.g., 1/10, 1/100). |
| Tenths | The first digit after the decimal point, representing 1/10. |
| Hundredths | The second digit after the decimal point, representing 1/100. |
| Thousandths | The third digit after the decimal point, representing 1/1000. |
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Practice questions
- Express 0.254 as a sum of fractions and also as a decimal. Answer: 0.254 = 2/10 + 5/100 + 4/1000
- What is the value of 123 divided by 10? Answer: 12.3
- If Jonali buys 250g of Pepper, express this quantity in kilograms as a decimal. Answer: 0.250 kg
Frequently asked questions
What is a decimal?
A decimal is a number that uses a decimal point to separate the whole number part from the fractional part, representing fractions with denominators like 10, 100, 1000, etc.
How is 27.53 read?
27.53 is read as 'twenty-seven point five three', representing 2 tens, 7 units, 5 tenths, and 3 hundredths.
What does the place value of '5' in 27.53 represent?
The place value of '5' in 27.53 is tenths, meaning 5/10.
How do you divide a number by 10?
To divide a number by 10, move the decimal point one place to the left.
What is the relationship between decimal operations and whole number operations?
The procedures for multiplying and dividing decimals are natural extensions of the procedures for multiplying and dividing counting numbers.
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Topics covered
NCERT Class 7 Mathematics — Ganita Prakash-II — Chapter 4 — Another Peek Beyond the Point. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.