Express the answers to the following calculations in scientific notation:
(12 points)
a.
145.75 + (2.3 × 10
–1
)
=145.98= 1.4598*10
2
b.
79,500 ÷ (2.5 × 10
2
)
=318=
3.2*10
2
c.
(7.0 × 10
–3
) – (8.0 × 10
–4
)
=.0062= 6.2*10
-2
d.
(1.0 × 10
4
) × (9.9 × 10
6
)
=99000000000= 9.9*10
10
(Reference: Chang 1.31)
1
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4.What is the number of significant figures in each of the following measurements? (8 points)
a.
4867 mi
4
b.
56 mL
2
c.
60,104 ton
5
d.
2900 g
4
e.
40.2 g/cm
3
3
f.
0.0000003 cm
1
g.
0.7 min
1
h.
4.6 × 10
19
atoms
2
(Reference: Chang 1.33)
5.
Express the results in the proper number of significant figures.
(12 points)
a.
5.6792 m + 0.6 m + 4.33 m
=10.6092m= 10.6m
b.
3.70 g – 2.9133 g
=0.7867g= 0.787g
c.
4.51 cm × 3.6666 cm
=16.536366cm
2=
16.5cm
2
d.
(3 × 10
4
g
+ 6.827g)/(0.043 cm
3
– 0.021 cm
3
) =1363946.682g/cm
3
=
1.36*10
6
g/cm
3
(Reference: Chang 1.35)
6.
Carry out the following conversions:
(16 points)
a.
22.6 m to dm
226 dm
b.
25.4 mg to kilograms
0.0000254 kg
c.
556 mL to liters
0.556 liters
d.
10.6 kg/m
3
to g/cm
3
0.0106 g/cm
3
(Reference: Chang 1.39)
7.
The average speed of helium at 25°C is 1255 m/s. Convert this speed to miles per
hour (mph).
(4 points)
(Reference: Chang 1.41)
2807.355 mph
2

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- Fall '15
- Chemistry, Chemical substance, Chemical compound, Edison State University