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APES Math Questions and Answers
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APES Math Questions and Answers Multiplying Scientific Notation Add exponents: 4×10³ × 5×10⁶ = 20×10¹⁸ Dividing Scientific Notation Subtract exponents: 4×10³ ÷ 5×10⁶ = 4/5×10⁻³ Growth Rate Growth rate = [CRUDE BIRTH RATE + immigration] - [CRUDE DEATH RATE + e...

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  • December 1, 2024
  • 1
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • apes math questions and answers
  • multiplying scientific notation add exponents 4×1
  • dividing scientific notation subtract exponents 4

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  • APES
  • APES

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APES Math Questions and Answers
Multiplying Scientific Notation - answer Add exponents:
4×10³ × 5×10⁶ = 20×10¹⁸

Dividing Scientific Notation - answer Subtract exponents:
4×10³ ÷ 5×10⁶ = 4/5×10⁻³

Growth Rate - answer Growth rate = [CRUDE BIRTH RATE + immigration] -
[CRUDE DEATH RATE + emigration]

Crude Birth Rate - answer CBR = # births per 1000, per year

Crude Death Rate - answer CDR = # deaths per 1000, per year

Growth Rate % Change - answer (CBR-CDR) ÷ 10 = % change

Calculate Percent Change - answer The rate of change (percent change, growth
rate) from one period to another = [(V present - V past) ÷ V past] × 100

V = value

Annual rate of Change - answer Percent Change ÷ (V present - V past)

Percent Difference - answer {(First Value - Second Value) ÷ [(First Value + Second
Value) / 2]} × 100%

Rule of 70 (Doubling Time) - answer Doubling time = 70 / annual growth rate (in %,
not decimal)

Half-life - answer Amount remaining = (Original amount)(0.5)ⁿ

n = # of half-lives
n = time / half-life

Calculate pH using -log[H*] - answer Log₁₀x = n and 10ⁿ = x
Remember: for every one-increment change in pH, the ions change by a factor of 10

Ex: If [H*] is 10⁻⁶M, the pH is 6 and the solution is a weak acid

Graphing - answer include title and key; set consistent increments for axes; connect
dots; interpolate and extrapolate (general direction of a scatter plot)

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