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Chapter Summary

Power Play

CBSE · Class 8 · Mathematics

Summary of Power Play for CBSE Class 8 Mathematics. Key concepts, important points, and chapter overview.

66 questions72 flashcards5 concepts

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Overview

Power Play presents the idea that some quantities grow by addition and others grow by multiplication. Folding paper shows exponential growth, where thickness doubles at every fold. Locks, powers, scientific notation, and large-number comparisons all use this idea to make very big and very small quan

Key Concepts

A quantity grows by being multiplied

A quantity grows by being multiplied by the same number each time. In paper folding, the thickness doubles after every fold. After 3 folds, the thickn

n^a means n multiplied by itself

n^a means n multiplied by itself a times. For example, 5^4 = 5 × 5 × 5 × 5 = 625. Here, 5 is the base and 4 is the exponent or power.

4 + 4 + 4 =

4 + 4 + 4 = 3 × 4 = 12, but 4 × 4 × 4 = 4^3 = 64. Repeated addition and repeated multiplication give very different answers.

A number can be written as

A number can be written as a product of prime factors using powers. For example, 32400 = 2^4 × 5^2 × 3^4.

A 2

A 2-digit lock has 100 combinations, a 3-digit lock has 1000 combinations, and a 5-digit lock has 10^5 = 1,00,000 combinations. Each digit slot has 10

Learning Objectives

  • Understand exponential growth through the paper-folding example.
  • Use exponential notation to write repeated multiplication in short form.
  • Differentiate between addition and multiplication.
  • Apply rules of powers such as division of powers, zero exponent, and negative exponent.
  • Write numbers in expanded form using powers of 10.

Frequently Asked Questions

What are the important topics in Power Play for CBSE Class 8 Mathematics?
Power Play covers several key topics that are frequently asked in CBSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Power Play — CBSE Class 8 Mathematics?
Understand the core concepts first, then work through the 66 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Power Play

All 14 chapters — CBSE Class 8 Mathematics Chapter Summary

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