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