8th Grade Solving Problems Involving Scientific Notation - Worksheet & Printable

The population of California is approximately 3.7 x 107 people. The land area of California is approximately 1.6 x 105 square miles. Divide the population by the area to find the best estimate of the number of people per square mile in California.

A

24 people

B

240 people

C

2,400 people

D

24,000 people

Standard: 8.EE.A.4

Domain: Expressions & Equations

Theme: Work with radicals and integer exponents

Description: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

Mercury is approximately 6 x 107 kilometers from the Sun. The speed of light is approximately 3 x 105 kilometers per second. Divide the distance by the speed of light to determine the approximate number of seconds it takes light to travel from the Sun to Mercury.

A

2 seconds

B

20 seconds

C

200 seconds

D

2,000 seconds

Standard: 8.EE.A.4

Domain: Expressions & Equations

Theme: Work with radicals and integer exponents

Description: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

Simplify (4 x 106) x (2 x 103) and express the result in scientific notation.

A

8 x 109

B

8 x 1018

C

6 x 109

D

6 x 1018

Standard: 8.EE.A.4

Domain: Expressions & Equations

Theme: Work with radicals and integer exponents

Description: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

Simplify (5 x 104) x (3 x 107) and express the result in scientific notation.

A

15 x 1028

B

15 x 1011

C

1.5 x 1012

D

1.5 x 1010

Standard: 8.EE.A.4

Domain: Expressions & Equations

Theme: Work with radicals and integer exponents

Description: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

Simplify (2 x 10-3) x (3 x 105) and express the result in scientific notation.

A

5 x 10-8

B

5 x 10-15

C

6 x 108

D

6 x 102

Standard: 8.EE.A.4

Domain: Expressions & Equations

Theme: Work with radicals and integer exponents

Description: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.


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