Math Review Flashcards Preview

Chem/Physics > Math Review > Flashcards

Flashcards in Math Review Deck (21):
1

What is the order of operations?

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

2

When multiplying two negative numbers the answer is always ......?

Positive

3

What are the inverse operations for
-multiplication
- addition
- square

-division (by 1)
- subtraction (by 0)
- square root

4

What is true regarding log 10 (100)= 2?

10 is the base
100 is the result
2 is the power/factor

5

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

6

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

7

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

8

What is the inverse operation of natural log (ln)?

E^x = natural antilog

9

What is the answer to anything raised to the power of 0?

1

10

What is the answer to anything (x) raised to the power of -1?

1/x

11

How does moving a quantity across a division bar change the sign of the exponent?
G/cm^3

—> g x cm^-3

12

What do you do when multiplying or dividing exponents?

Multiplying —> add exponents
Dividing —> subtract exponents

13

What is not considered a sig. fig.?

- a single zero to the left of a decimal point
“0”.15
-zeros to the right of a decimal point preceding a non-zero number
“0”. “0””0”5
-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)

14

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.

15

What is accuracy?

Agreement between experimental data and the “true” value

16

What is precision?

Agreement between replicated measurements

17

What is percent error?

[(Measured - true)/true] x 100

- % error —> lower is better
Greater # of sig. figs = greater precision

18

What does standard deviation tell you?

How close you are to the average

19

If relation to the base (G, M, L) how much is a:
- kilo
- centi
- Milli
- micro

-kilo = 10^3
- Centi = 10^-2
Milli = 10^-3
Micro = 10^-6

20

Convert
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

21

What is specific gravity?

Ratio between an objects density to the density of water