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scientific notation
communicates large numbers efficiently
1) has two parts: coefficient and power of 10
scientific notation coefficient
the number being multiplied by a power of 10 in scientific notation
1) must be lesser than 10 but greater than 1
scientific notation power of 10
the number being multiplied by the coefficient in scientific notation
1) has positive and negative powers (+ → move to right; - → move to left)
4) number of places to the left or right = the exponent
theory
A mega-hypothesis contributed to by multiple people for decades
1) ex: cell theory
conclusion
the answer to one hypothesis in one experiment
1) ex: I am not alergic to shrimp
types of observations
1) qualitative
2) quantitative
qualitative observations
descriptions of non-number qualities (color, opacity, etc.)
quantitative observations
numbers and measurements
measurements
numbers and units
Scientific Notation on Calculator
coefficient + E + power of 10 exponent
exponent rules
10a x 10b = 10a+b
10a/10b = 10a-b
coefficient x power of 10 exponent relationship
= like a seesaw
1) if one goes up, the other goes down
scientific method
1) observations
2) hypothesis
3) experiment
4) conclusion
significant figures
all certain digits + one estimated digit
1) communicate the tool/precision with which we’re working
valid significant figures
1) all digits of scientific notation coefficient
2) nonzero digits
3) captive zeros
4) trailing zeros iff the number contains a decimal
captive zeros
zeros in between nonzero digits
trailing zeros (significance)
trailing zeros are significant iff number contains a decimal
1) so if you need certain zeros to count, use a decimal
2) ex: 100. has 3 sig figs
leading zeros
are never significant
exact numbers
definitions and #’s counted by “hand”
1) not a measurement
2) infinite number of significant figures because nothing is uncertain
2) ex: there are 2 dogs
sig fig addition/multiplication
always limited by least precise measurement
sig fig multiplication
product has same number of sig figs as # with fewest sig figs
sig fig addition
sum goes to the same sig fig place value as least precise measurement
precision
how detailed was the equipment?
accuracy
how close were you to measuring something’s true value?
1) = measured in percent error
percent error formula
(| true value - estimated value|/true value) x 100%
1) cannot be negative because of absolute value signs
Metric conversion rates
M = mega = 106m
k = kilo = 103m
root unit = 100
d = deci = 10-1
c = centi = 10-2
m = milli = 10-3
µ = micro = 10-6
n = nano = 10-12
STUDY
LABS
Potential Energy Formula
PE = (mass)(g)(height) = Activation Energy in Joules