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MULTIPLICATION AND DIVISION PROBLEMS USING SCIENTIFIC NOTATION
 Part IV-

Before you start this section be sure you are familiar with:

1) An introduction to scientific notation;

2) multiplication of scientific notation; and

3) division of scientific notation

Scientific Notation problems involving multiplication and division.

Example 1:
(6 x 106) (2x 103) (2x 103)
_________________________ =
______4 x 10 4

Calculate the coefficient:

6 x 2 x 2
___4

Find the base/exponent term:
(106) (103) (103)
___________________
____ 10 4

= 6 x 10 8

Example 2:
(4 x 106) (2x 103)
__________________ =
(8 x 10 -4 )(2x 103)

Calculate the coefficient:

4 x 2
8 x 2

Find the base/exponent term:
(106) (103)
____________
(10 -4
) (103)

= 0.5x 1010

= 5 x 10 9

Now Try these:

(write your answers in the form of coefficientx10^exponent) If your answer is 3.5 x 10 3 you should type 3.5x10^3 in the box then click the submit button).

(write your answers in the form of coefficientx10^exponent) If your answer is 3.5 x 10 3 you should type 3.5x10^3 in the box then click the submit button).
(5 x 106) (2x 103) (3x 103)
_________________________ =
______5 x 10 4

(7 x 106) (2 x 103) (5 x 103)
_________________________ =
______2 x 10 4

(4 x 106) (5x 10-3)
___________________ =
(
8 x 10 -4 )(5x 103)

Now Try these:

(write your answers in the form of coefficientx10^exponent) If your answer is 3.5 x 10 3 you should type 3.5x10^3 in the box then click the submit button).

1) What is the ratio of Milky Way radius to our solar system radius given that, the distance from pluto to sun is 5.9×10 12 meters and the Milky Way disk radius is. 3.9×1020 meters. Round the coefficient to the nearest tenth.

2) The speed of light is 3 x 10 8 meters/second. If the sun is 1.5x 1011 meters from earth, how many seconds does it take light to reach the earth. Express your answer in scientific notation

3) Using the following data:
the volume of a sphere = (4/3) (pi)R 3
Radius of the earth= 6.3×106 m.
Mass of earth= 5.9742 × 10 24 kilograms

Find the density of the earth in kg/m 3 (Note: this method will only yield an approximate value for the density of the earth).

kg/m3

4)Given that the average density of water is 1000 kg/m3, what would be the average density of the earth (closest tenth) in gm/cm3?

gm/cm3
More Activities

Introduction to Scientific Notation
Multiplication using Scientific Notation
Math And Science Activities: Mass, Volume, Density, Learn about Molecules, and more...

 

 

 

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