Chemistry 1 (Crash Course) Flashcards
How do you solve for 102/3 (fractional exponents)
The exponent’s denominator becomes the index of the root; therefore: 3√102 = 4.6
Solve for (10-3)2
With exponents & parantheses, you multiply the exponents: 10-6
Breakdown extracting the square root of √90,000
=√9 x 104
=√9 x √104
=3 x 102
=300
How do you extract the cube root of 3√1.25 x 105
It is important to remember that your exponents factor into the index of the root, so:
=3√125 x 103
=3√125 x 3√103
=5 x 10
=50
Extract the square root of √4.9 x 10-5
=√49 x 10-6
=√49 x √10-6
=7 x 10-3
=0.007
Solve for 8000 x 25000 and express answer in scientific notation
2.0 x 107
Solve and express answer in scientific notation:
(3√6.4 x 10-2)(3√27000)(3√2.16 x 10-4)
(3√6.4 x 10-2)(3√27000)(3√2.16 x 10-4)
=(3√64 x 10-3)(3√27 x 103)(3√216 x 10-6)
= =(4 x 10-1)(3 x 10)(6 x 10-2)
=(0.4)(30)(0.06)
=0.72
=7.2 x 10-1
(Sig Fig Rules)
What is significant?
All digits are significant (digits being all nonzero numbers)
(Sig Fig Rules)
When are zeroes significant?
- Zeroes between digits
- Zeroes after digits but before the decimal
- Zeroes after decimal and after digits
(Sig Fig Rules)
When are zeroes NOT significant?
- Zeroes after digits are not significant
- Zeroes after the decimal but before digits are not significant
List the metric prefixes
pico 10-12
nano 10-9
micro 10-6
milli 10-3
centi 10-2
deci 10-1
base 100
deka 101
hecto 102
kilo 103
mega 106
giga 109
tera 1012
How do you convert Fahrenheit to Celsius?
(1.8 x C) + 32
How do you convert Celsius to Fahrenheit?
(0.55555)(F-32)