Flashcards in Math Review Deck (21):
What is the order of operations?
When multiplying two negative numbers the answer is always ......?
What are the inverse operations for
-division (by 1)
- subtraction (by 0)
- square root
What is true regarding log 10 (100)= 2?
10 is the base
100 is the result
2 is the power/factor
How do you find the log of a product?
The log of a product is the sum of the logs
Log (a x b)= log a + log b
How do you find the log of a ratio of logs?
The log of a ratio of logs is the difference of logs
Log (a/b) = log a - log b
How do you find the log of a power?
The log of a power is the exponent in the power times the log of the base power
Log a^b = b x log a
What is the inverse operation of natural log (ln)?
E^x = natural antilog
What is the answer to anything raised to the power of 0?
What is the answer to anything (x) raised to the power of -1?
How does moving a quantity across a division bar change the sign of the exponent?
—> g x cm^-3
What do you do when multiplying or dividing exponents?
Multiplying —> add exponents
Dividing —> subtract exponents
What is not considered a sig. fig.?
- a single zero to the left of a decimal point
-zeros to the right of a decimal point preceding a non-zero number
-zeros to the left of a decimal point following a non-zero number, unless underlined to show exactness
4”0” not significant. 40 is significant (if 0 was underlined)
What is true when adding or dividing numbers vs multiplying or dividing?
When adding or subtracting: keep the smaller number of decimal places
When multiplying or dividing: deep the smaller number of sig. figs.
What is accuracy?
Agreement between experimental data and the “true” value
What is precision?
Agreement between replicated measurements
What is percent error?
[(Measured - true)/true] x 100
- % error —> lower is better
Greater # of sig. figs = greater precision
What does standard deviation tell you?
How close you are to the average
If relation to the base (G, M, L) how much is a:
-kilo = 10^3
- Centi = 10^-2
Milli = 10^-3
Micro = 10^-6
Inches to cm
Kg to lbs
Ml to cm^3
1 inch = 2.54 cm
1 kg = 2.2 lbs
1 mL = 1 cm^3