Scientific Notation in the Real World
Scientific Notation in the Real World
8-E2
Precalculus
8-E2
Precalculus
Scientific notation in the real world: Exercises 1-4
Exercise 1: Earth has a diameter of approximately d 1.27 ? 104 km. Use the formula for the volume of a sphere to calculate the volume of the Earth (the formula is given at the end of the page).
Exercise 2: Planet Jupiter has an approximate volume V 1.53 ? 1015 km3 . Determine its diameter.
Exercise 3: Determine the ratio of diameters and the ratio of volumes of Jupiter and Earth.
Exercise 4: The Sun is approximately 150 millions kilometers away from the Earth. How long does it take for the light to reach us? The speed of light is approximately 300.000.000 m/s.
The
formula
of
the
volume
of
a
sphere :
V
=
4 3
r3
.
8-P1
Precalculus
Scientific notation in the real world: Exercises 5, 6
Exercise 5:
Knowing the surface s and the average depth d of the
Atlantic Ocean calculate its volume
s 106.400.000 km 2 ,
d 3293 m .
Exercise 6: Taking the mass of a grain of fine sand to be ms 4 10-9 kg , determine the mass of 1.000.000 grains.
8-P2
Precalculus
Scientific notation in the real world: Solution 1
d 1.27 ? 104 km
The Earth
( ) r
=
d 2
,
V
=
4 3
r
3
=
4 3
d 2
3
=
4 323
d
3
=
6
d
3
3.14 6
(1.2710 4) 3
8-1
1.07 10 12 km3
Precalculus
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