mass

time

distance

brightness

amount

current

temperature

Identify the 7 common SI

units:

spe

ed

accelera

tion

densit

y

volu

me

m

s2

m

s

g

mL

3cmmass

density = volume

Density

formula:

13.5 g of aluminum has a volume

of 5 mL. Density?massdensity=

volume

13.5 g

5.0 mL

2.7 g=

mLWhat is the mass of 2 mL of

aluminum?

m

dv

divide

multiply

•m = vd

•= (2 mL)(2.7

g/mL)

•= 5.4 g

Giga (G)Billion (109)

1

Mega (M)Million (106)

Thousand (103) kilo (k)

centi (c)Hundredth 10-2

milli (m)Thousandth (10-3)

micro ( )Millionth (10-6)

nano (n)Billionth (10-9)

List the common

unit prefixes and

their abbreviations

Temp scale that cannot

go below zero:25oC =

?K

When is Kelvin

normally

used and

why?In many

formulas: it is

mathematically

accurate.

= 298

K

°F to

°C

Deduct 32, then multiply by 5, then

divide by 9

°C to

°F

Multiply by 9, then divide by 5, then

add 32

Kelv

in

-40oC =

?0F

-40oF =

?0C

x9 = -360, /5 = -72, +

32 = -40 0F

-32 = -72, x5 = -360,

/9 = -40 = -40 0C

for big and small numbers

10,000 Always 1-10Always 10x

Draw a line to make it

between 1 and 10; count to

decimal point.

Exam

ple:

= 1 x 104

-2860

= 2.12 x102

.0097

= 9.7x10-3

602,000,000,000,000,000,000,000

= 6.02 x1023

= -2.86 x103

212

= 9.742 x 10-4

.0009742

Try

som

e:

Scientific Notation on your calculators:

2 methods

Example: what is (2 x 101)(1 x 101)?

Try this: (3 x 10-2) x (-4.2 x 10-4) = ?

For fancy calculators (like TI-

83, etc)

For cheaper calculators that

don’t do ()

Enter 6.02 x 1023

Enter it all in parentheses-

you’ll need themEnter (6.02x10^23) Enter 6.02E23

Use EE button, no

parentheses needed

Enter (2 x 10^1)(1 x

10^1)

Enter 2E1x1E1

= 200 or 2E2

= -1.26 x 10-5 or -0.0000126

Enter (3x10^-2)x(-

4.2x10^-4)

Enter 3E-2x-4.2E-4

Negative, not subtract Negative, not subtract

Add answer

You have $7.25 in your pocket in quarters. How many quarters do you have?

X = ___

quarters

1. Start with

What you are

given

3. Multiply using

Conversion factors

To get there

2. Write the units

you need to

Get to

Cancel your units to prove you did it correctly.

7.25 dollars4 quarters

dollar

29

• Convert 65 miles/hour to meters per second

1. Start with

What you are

given

3. Multiply using

Conversion factors

To get there

2. Write the units

you need to

Get to

Cancel your units to prove you did it correctly.

•(1609 meters = 1 mile; 3600 seconds = 1 hour

65 miles

hourx

1

mile

1609 metersx

1 hour

3600 seconds

meters

second

1. Units 2. Prefixes 3. Dens./temp. 4. Sci. not. 5. Conversions 6. sig. fig.’s 7. % error

= 29.05

1. When measuring

include the known digits plus one

estimated digit.

Volume?

32.0 mL

# SIG. FIGS:number why

32 2 1. “non-zero numbers are

always significant”

0.0323 32. “leading zeroes are

Never significant”

3.004 43. “sandwiched zeroes are

always significant”

300 1 4. “trailing zeroes are only

significant if there is a

decimal place”300. 3

300.20 5 .030690

dumpkeep

Keep if decimal present

Summary:

> or = 5; round up

A. Which 2 answers contain 3 significant figures?

1) 0.4760 2) 0.00476 3) 4760

B. All the zeros are significant in

1) 0.00307 2) 25.300 3) 2.050 x 103

C. 534,675 rounded to 3 significant figures is

1) 535 2) 535,000 3) 5.35 x 105

You measure your mass to be 120 lbs,

but in reality it is 150 lbs. What is your percent

error?

= 30 lbs/150 lbs x 100

= 20% End data unit

12