What are powers, indices, or exponents?
Different words meaning repeated multiplication.
What does 10³ mean?
10 × 10 × 10 = 1000
What is the index (exponent)?
The small raised number showing how many times to multiply.
What does “squared” mean?
Raised to the power of 2
What does “cubed” mean?
Raised to the power of 3
What is 10⁰?
1
What is 10¹?
10
What is 10²?
100
What is 10³?
1,000
What is 10⁶?
1,00,000
Why does 10⁰ = 1?
Each decrease in power divides by 10.
What is 10⁻¹?
1/10
What is 10⁻²?
1/100
What do negative powers represent?
Reciprocals
Rule for multiplying powers with same base?
Add the powers
Rule for dividing powers with same base?
Subtract the powers
What is n⁰ for any number n?
1
What is n¹ for any number n?
n
Why is area related to squaring?
Area = width × width = w²
Why is volume related to cubing?
Volume = width × width × height = w³
What is standard form?
Writing numbers as a × 10ⁿ.
Rule for standard form?
Only one non-zero digit before the decimal point.