Download Sig figs Questions

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SPH 4U
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Significant Figures and Standard Notation Questions
Page 1
1. Place the following into scientific notation.
a) 73 100 (4)
b) 0.00054
c) 1000.03
d) 32 000 000 s in one year
e) 6 250 000 000 000 000 000 electrons/s (3)
f) 9 192 000 000 vibrations/s
g) 0.000 085 cm
h) 0.000 000 000 38 kg
2. Complete the following operations and give an answer with the correct significant digits.
a) 40.03 + 120.3154 – 0.391
b) 35 – 34. 99
c) 5.75 X 41100 X 2.1
d) 10.00 X 40.0
5.000
e) 2.2 m + 3.8 m
f) 5.1 cm + 6.23 cm
g) 2.4 m X 2.62 m
h) 2.2 m X 1.3 m
i) 1.200 cm X 1.20 cm / 1.200 cm
3. What numbers complete this table? (Indicate the correct amount of significant digits)
Physical Quantity
Decimal Notation or base 10 Notation
Scientific Notation
a) The sun’s interior temperature 1 300 000 ºC (3)
b) Thickness of a plastic film
0.000 01 m
c) Mass of an electron
9.2 X 10-28 g
d) Number of stars in our galaxy
1.2 X 1011
e) Estimated age of Earth
4 600 000 000 years (4)
f) Diameter of a hydrogen atom
0.000 000 011 3 cm
g) Land surface area of Earth
1.5 X 108 km2
h) Ocean surface area of Earth
3.6 X 108 km2
i) Mass of Earth
5.98 X 1024 kg
j) Cost of a Concorde Jet
$ 8 500 000 000
4. Write the following in scientific notation with the correct number of significant figures.
a) 32 X 104
b) 247 X 108
c) 49.2 X 107
d) 685 X 1010
e) 0.387 X 104
f) 0.087X 103
g) 672 X 10-5
h) 43.7X 10-6
i) 0.841 X 10-2
j) 0.49 X 10-7
k) 125 X 100
l) 1.85  10-2
5. Find each value for n.
a) 1265 = 1.265 X 10n
b) 76.3 = 7.63 X 10n
c) 0.0041 = 4.1 X 10n
d) 0.860 = 8.60 X 10n
e) 0.005 = 5 X 10n
f) 0.000 056 3 = 5.63 X 10n
g) 1150 = 1.150 X 10n
h) 4 961 000 000 = 4.961 X 10n
i) 7 430 000 = 7.43 X 10n
j) 0.000 000 583 1 = 5.831 X 10n
6. Express the following distances and measurements in scientific notation with the correct unit.
a) Distance to quasars: 100 000 000 000 000 000 000 000 km (1)
b) Distance to the nearest galaxy: 14 000 000 000 000 000 000 000 m (2)
c) Diameter of our galaxy: 760 000 000 000 000 000 000 m (4)
d) Distance to our nearest star: 41 000 000 000 000 km (2)
e) Diameter of the solar system: 12 000 000 000 000 m (2)
f) Average distance to our sun: 150 000 000 km (3)
g) Distance to our moon: 380 000 km (3)
h) Diameter of Earth: 13 000 km (2)
i) Radius of Earth: 6 380 000 m (3)
j) Height of Mount Everest: 8 800 m (2)
k) Height of a person: 2 m (1)
l) Size of an insect: 0.005 m
m) Diameter of a grain of sand: 0.000 1 m
n) Size of a bacterium: 0.000 001 m
o) Diameter of an atom: 0.000 000 000 1m
p) Diameter of a nucleus: 0.000 000 000 000 01 m
q) Diameter of a proton: 0.000 000 000 000 000 1m
r) Wavelength of a cosmic ray: 0.000 000 000 000 000 000 01m
7. Write the answer in scientific notation with the correct number of significant digits.
a) 582965 X 7123085 / 5034.8
b) 9867341 X 403 928/ 79386.3
c) 1937281 X 8886432
2916.5 X 58 034
d) 39621 x 49728 X 392.6
79362 X 193481
e) 349000 X 2650 X 120000
f) 8600 X 150000 X 0.0003
g) 480000 X 62000000 / 300 000
h) 850000 X 400000 / 6200000
i) 0.000006 X 54000 / 0.000 009
j) 2400000 X 0.0000000008 / (0.0000004 X 12000)
8. If there are 3.00 X 1020 stars in a galaxy and the average star has 1.1 X 1011 planets orbiting it. Calculate the
total planets in this galaxy.
9. Find the % difference between a period of 0.317 s and 0.326 s.
10. Two experimental values were determined to be 9.95 m/s2 and 9.75 m/s2.
a) What is the percentage difference for the above values?
b) What are the percentage errors for each of the above values, knowing the correct answer is 9.81 m/s2?
10.
a) 8.1 X 1016 pm = ______________ Mg
b) 1.0 X 10-7 kg = ______________ g
c)
1 h = ______________ s
d) 7.5 X 1010 s = ______________ ks
12. How many metres are there in one light year?

 
aav (t ) 2
13. One of the constant acceleration formulae is d  v1t 
. If v1 = 2.36x109m/s, ∆t = 0.0045345ms
2
and aav = 13.634x105m/s2, calculate the displacement while keeping track of significant digits. (look at units)
14. Calculate the volume of the solar system assuming that Pluto’s orbit is the outer edge (which we can assume
is roughly circular and the outer edge of the solar system is a sphere). Jupiter and Saturn are the largest planets
(assume no other planets) along with the Sun make up the majority of matter in the solar system. Calculate the
ratio of volume of matter to overall volume in the solar system.
15. If a gold atom is considered to be a cube with sides of 2.5 X 10-9 m, how many gold atoms could stack on top
of one another in gold foil with a thickness of 1.0 X 10-7 m?
16. On the average,1.0 kg of aluminum consists of 2.2 X 1025 atoms. How many atoms would there be in a block
of aluminum 10 cm, by 1.2 cm, by 15.6 cm, if the density of aluminum is 2.7g/cm 3 ,or 2.7 X 103 kg/m3.