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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