# Word Problems using Scientific Notation

Part IV-

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).

 (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

#### Scientific Notation

Introduction to Scientiic Notation:   Learn the basic principles of scientific notation. Convert standard numbers to scientific notation.

Scientific Notation Generator: Javascript program will enable you to practice converting any number from basic notation to scientific notation.

Multiplication with Scientific Notation:   Learn multiplication using scientific notation, with positive and negative exponents.

Division with Scientific Notation:   Learn division using scientific notation with positive and negative exponents.

Word Problems using Scientific Notation:   Mixed multiplication/division problems, word problems using scientific notation.

An Integrated Math Science and Art  (STEAM) Activity- Mass, Volume Density Activity using the Gates Project from Central Park NYC.