Math Review
1. Write 167,000 in scientific notation, showing two significant figures.
_______________________
2. Add. Write your answer with the appropriate number of
significant figures.
3.698 x 10-3 + 1.78 x 10-4
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3. Rearrange the equations to solve for y:
a. 3y + 62 = 8y -2
b. x + 2y2 = 32
4. Wave equation:
y = ______________________________________
y = ______________________________________
E = hc/l
h = 6.626 x 10-34 J×s c = 2.99 x 108 m/s
l = wavelength
E = energy
The energy of one photon of yellow light is 3.37 x 10-19 J.
What is the wavelength of the photon?
_______________________
5. Evaluate the following. Include units when appropriate.
a. (3x2)2 = 256
x = ___________________
b. 2/x3 = 6.8 x 10-9 cm-3
x = ___________________
6. Density equation.
D = M/V
a. What is the density of a material that has a volume of 23 mL
and mass of 68.9 g? (Include units and report your answer
with the appropriate number of significant digits)
_______________________
b. The density of aluminum is 2.72 g/cm3. What is the volume
of aluminum with a mass of 9.61 x 103 kg?
_______________________
7. Unit conversions. 2.54 x 10-2 m = 1 in
28.35 g = 1 oz
1.609 km = 1 mi
a. 29 in
_____________________ m
b. 3.2 x 10-8 oz
_____________________ ng
c. 320 mi2
____________________ km2