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Chapter 3 of 14
Syllabus

Power Play

CBSE · Class 8 · Mathematics

Complete topic list for Power Play in CBSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

66 questions72 flashcards5 concepts

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4 Topics · CBSE Class 8 Mathematics

Topics in Power Play

1

1. Exponential Notation and Repeated Multiplication

  • n^a means n multiplied by itself a times.
  • 5^4 = 5 × 5 × 5 × 5 = 625.
  • The base is the repeated factor, and the exponent shows how many times it is used.
2

2. Combinations and Counting Possibilities

  • The number of possible outfits can be found by multiplying the number of choices in each category.
  • Estu has 4 dresses and 3 caps, so the number of combinations is 4 × 3 = 12.
  • A 2-digit lock has 100 combinations.
3

3. Division of Powers, Zero Exponent, and Negative Exponents

  • When two powers have the same base, division can be simplified by subtracting the exponents.
  • 2^4 ÷ 2^3 = 2^(4-3) = 2^1 = 2.
  • For a non-zero base, x^0 = 1.
4

4. Powers of 10 and Expanded Form

  • 47561 can be expanded as (4 × 10^4) + (7 × 10^3) + (5 × 10^2) + (6 × 10^1) + (1 × 10^0).
  • 561.903 can be expanded using positive and negative powers of 10.
  • Any number can be written as the product of a number between 1 and 10 and a power of 10.

Key Concepts

Central concept: Power Play

Exponential growthPower notationPowers with negative and zero exponentsPrime factorisation in exponential formCombinations and countingPowers of 10 and place valueScientific notationLinear growth

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.

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