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KME Math > Exponents, Roots and Logarithms Exam > Flashcards

Exponents, Roots and Logarithms Exam Flashcards

1
Q

1 / 3 = ?

A

0.3333….

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1
Q

1 / 9 = ?

A

0.111111…..

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2
Q

billion: number, name in german, symbol and prefix?

A

10^9, Milliarde, G, giga

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2
Q

millionth: number, name in german, symbol and prefix?

A

10^-6, Millionstel, µ, micro

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3
Q

thousand: number, name in german, symbol and prefix?

A

10^3, Tausend, k, kilo

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4
Q

thousandth: number, name in german, symbol and prefix?

A

10^-1, Tausendstel, m, milli

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4
Q

billionth: number, name in german, symbol and prefix?

A

10^-9, Milliardstel, n, nano

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5
Q

1 / 7 = ?

A

0.142857….

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6
Q

million: number, name in german, symbol and prefix?

A

10^6, Million, M, mega

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8
Q

1 / 4 = ?

A

0.25

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9
Q

unit: number (base 10) and name in german?

A

10^0, Einheit

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11
Q

1 / 10 = ?

A

0.1

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12
Q

trillionth: number, name in german, symbol and prefix?

A

10^-12, Billionstel, p, pico

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14
Q

1 / 2 = ?

A

0.5

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14
Q

quintillionth: number, name in german, symbol and prefix?

A

10^-18, Trillionstel, a, atto

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15
Q

1 / 5 = ?

A

0.2

15
Q

1 / 15 = ?

A

0.066666…..

17
Q

quadrillion: number, name in german, symbol and prefix?

A

10^15, Billiarde, P, peta

19
Q

trillion: number, name in german, symbol and prefix?

A

10^12, Billion, T, tera

20
Q

1 / 8 = ?

A

0.125

21
Q

quintillion: number, name in german, symbol and prefix?

A

10^18, Trillion, E, exa

22
Q

1 / 20 = ?

A

0.05

23
Q

quadrillionth: number, name in german, symbol and prefix?

A

10^15, Billiardstel, f, femto

24
Q

1 / 6 = ?

A

0.166666….

25
Q

1 / 50 = ?

A

0.02

26
Q

Rules of roots

A
  1. n√(u^n) = | u |
  2. n√(u^m) = u^m/n
  3. n√(u*v) = n√(u) * n√(v)
  4. n√(u/v) = n√(u) / n√(v)
  5. ( n√(a) )^m = n√(a^m)
27
Q

Rewrite u^n = v as a logarithm.

A

n = logu(v)

28
Q

Rules of logarithms?

A
  1. loga(u*v) = loga(u) + loga(v)
  2. loga(u/v) = loga(u) - loga(v)
  3. loga(u^n) = n * loga(u)
  4. loga(u) = logb(u) / logb(a), where b = R e.g. 10
29
Q

Growth and decay formula?

A

P = P0 * (1 + % / t)^t

Endamount = original amount * rate of growth ^ times grown

30
Q
A

KME Math (1 decks)

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