Exponents, Roots and Logarithms Exam Flashcards
1 / 3 = ?
0.3333….
1 / 9 = ?
0.111111…..
billion: number, name in german, symbol and prefix?
10^9, Milliarde, G, giga
millionth: number, name in german, symbol and prefix?
10^-6, Millionstel, µ, micro
thousand: number, name in german, symbol and prefix?
10^3, Tausend, k, kilo
thousandth: number, name in german, symbol and prefix?
10^-1, Tausendstel, m, milli
billionth: number, name in german, symbol and prefix?
10^-9, Milliardstel, n, nano
1 / 7 = ?
0.142857….
million: number, name in german, symbol and prefix?
10^6, Million, M, mega
1 / 4 = ?
0.25
unit: number (base 10) and name in german?
10^0, Einheit
1 / 10 = ?
0.1
trillionth: number, name in german, symbol and prefix?
10^-12, Billionstel, p, pico
1 / 2 = ?
0.5
quintillionth: number, name in german, symbol and prefix?
10^-18, Trillionstel, a, atto
1 / 5 = ?
0.2
1 / 15 = ?
0.066666…..
quadrillion: number, name in german, symbol and prefix?
10^15, Billiarde, P, peta
trillion: number, name in german, symbol and prefix?
10^12, Billion, T, tera
1 / 8 = ?
0.125
quintillion: number, name in german, symbol and prefix?
10^18, Trillion, E, exa
1 / 20 = ?
0.05
quadrillionth: number, name in german, symbol and prefix?
10^15, Billiardstel, f, femto
1 / 6 = ?
0.166666….
1 / 50 = ?
0.02
Rules of roots
- n√(u^n) = | u |
- n√(u^m) = u^m/n
- n√(u*v) = n√(u) * n√(v)
- n√(u/v) = n√(u) / n√(v)
- ( n√(a) )^m = n√(a^m)
Rewrite u^n = v as a logarithm.
n = logu(v)
Rules of logarithms?
- loga(u*v) = loga(u) + loga(v)
- loga(u/v) = loga(u) - loga(v)
- loga(u^n) = n * loga(u)
- loga(u) = logb(u) / logb(a), where b = R e.g. 10
Growth and decay formula?
P = P0 * (1 + % / t)^t
Endamount = original amount * rate of growth ^ times grown
