Exam 1 Flashcards
scientific notation: Measurement
- QUANTITATIVE observation
- uses numbers and units
- numbers tells MAGNITUDE
- unit tells SCALE (unit is slightly more important than #)
- expresses a # as a product of a # between 1 and 10 and the appropriate power of 10
ex: 93,000,000 = 9.3 x 10,000,000 = 9.3 x 10^7
10^x
move decimal to the LEFT, exponent is __; move decimal to the RIGHT, exponent is ___
positive (+); negative (-)
using scientific notation examples
345 = 3.45 x 10^2 0.0671 = 6.71 x 10^-2 7882 = 7.882 x 10^3 0.0000496 = 4.96 x 10^-5
unit
the scale/standard being used to represent the results of a measurement
- most common systems: English and metric systems
- internation system (SI)
internation system (SI)
- comprehensive system of units set up by an international agreement
- units based and derived from metric system
fundamental SI units
PHYSICAL QUANTITY UNIT
Mass kg
Length m
Time second
Temp. Kelvin
electric current ampere
amnt. of substance mole
commonly used prefixes in metric system
prefix symbol meaning power of 10
mega M 1,000,000 10^6
kilo k 1000 10^3
deci d 0.1 10^-1
centi c 0.01 10^-2
milli m 0.001 10^-3
micro μ 0.000001 10^-6
nano n 0.000000001 10^-9
volume
- measures 3D space by a substance
- SI unit = m^3
- commonly measured cm^3
- 1 mL= 1 cm^3
- 1 L= 1 dm^3
1 mL= _ cm^3
1
1 L= _ dm^3
1
length
-fundamental SI unit is meter unit meter equivalent km 1000 m or 10^3 m m 1 m dm 0.1 m or 10^-1 m cm 0.01 m or 10^-2 m mm 0.001 m or 10^-3 m μm 0.000001 or 10^-6 m nm 0.000000001 or 10^-9
mass
-measures matter present in object
-SI unit is kg
1 kg= 2.2046 Ibs
1 Ib= 453.59 g
use __ __ to measure uncertainty
sig figs
rules for sig figs
1) all nonzero integers ALWAYS count for significance ex: 3456 has 4 sig figs
2) zeros (3 classes of zeros)
a) leading zeros:NEVER count as sig figs
ex: 0.048 has 2 sig figs
b) captive zeros: ALWAYS count as sig figs ex: 16.07 has 4 sig figs
c) trailing zeros: only significant when # HAS A DECIMAL POINT
ex: 9.300 has 4 sig figs; 0.004020 has 4 sig figs; 150 has 2 sig figs
sig figs for x and ÷
the # of sig figs for answer is LEAST amount of sig figs u have in the problem
ex: 1.342 x 5.5 = 7.4
* when solving many calculations for 1 problem, don’t convert sig figs until LAST STEP
sig figs for + and -
only count decimal places
ex: 23.445 + 7.83 = 31.275 = 31.28
ex: 101 + 1.0 = 102
- always solve from left to right
sig fig question:
4.56 x 7.3679 / 1.006 =
- multiply first, then divide, then find sig figs
answer: 33.4
exponential notation/scientific notation
ex: 300 as 3.00 x 10^2 contains 3 sig figs
- advantages
a) # of sig figs can be easily indicated
b) fewer zeros needed to write a very large/very small #
rounding rules
when doing many calculations, carry extra digits thru until final result and then round
3 units for measuring temp
1) ºF
2) ºC
3) Kelvin (K)
3 major temp scales
Farenheit
boiling pt: 212ºF
freezing pt: 32ºF
Celsius
boiling pt: 100ºC
freezing pt: 0ºC
Kelvin
boiling pt: 373 K
freezing pt: 273 K
converting between temp scales
Tk= TºC +273 TºC= Tk-273 TºC= (TºF - 32/1.80) TºF= 1.80(TºC)+32
K to ºC is
-273
density
density =mass/volume or D=m/V
- mass of substance per unit volume of substance
- common units: g/mL or g/cm^3
- when mass increases, density increases (directly proportional)
- when mass is constant and volume decreases, density increases (inversely proportional)