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Chapter Summary

Power Play — Chapter Summary

CBSE · Class 8 · Mathematics

Summary of Power Play for CBSE Class 8 Mathematics. Key concepts: A quantity grows by being, n^a means n multiplied by and 4 + 4 + 4 =.

66 questions72 flashcards22 formulas & key relations5 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?
Key topics in Power Play include Exponential Notation and Repeated Multiplication, Combinations and Counting Possibilities, Division of Powers, Zero Exponent, and Negative Exponents, Powers of 10 and Expanded Form. Study these first, then practise questions on each for Class 8 exams.
How should I revise Power Play for Class 8 exams?
Learn the core ideas first, then work through the 66 practice questions on Power Play. Revise 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 CBSE Class 8 Mathematics Chapter Summary

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