Power Play
CBSE · Class 8 · Mathematics
Quick revision notes for Power Play — CBSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
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. 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. 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. 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.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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