GRE Math : Other Exponents

Study concepts, example questions & explanations for GRE Math

Create An Account

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Algebra

The speed of light is approximately $3.00\cdot10^8 \text{ meters}/\text{sec}$ $\displaystyle 3.00\cdot10^8 \text{ meters}/\text{sec}$.

In scientific notation how many kilometers per hour is the speed of light?

Possible Answers:

$1.08\cdot 10^{12}$ $\displaystyle 1.08\cdot 10^{12}$

$3.00\cdot 10^{6}$ $\displaystyle 3.00\cdot 10^{6}$

$1.08\cdot 10^9$ $\displaystyle 1.08\cdot 10^9$

$8.33\cdot 10^{4}$ $\displaystyle 8.33\cdot 10^{4}$

Correct answer:

$1.08\cdot 10^9$ $\displaystyle 1.08\cdot 10^9$

Explanation:

For this problem we need to convert meters into kilometers and seconds into hours. Therefore we get,

$\frac{3.00\cdot10^8 m}{sec}\times \frac{60sec}{1min}\times \frac{60min}{1hour} \times\frac{.001km}{1m}$ $\displaystyle \frac{3.00\cdot10^8 m}{sec}\times \frac{60sec}{1min}\times \frac{60min}{1hour} \times\frac{.001km}{1m}$

Multiplying this out we get

$=1,080,000,000 = 1.08\cdot10^9$ $\displaystyle =1,080,000,000 = 1.08\cdot10^9$

Report an Error

Example Question #11 : Algebra

If one mile is equal to 5,280 feet, how many feet are 100 miles equal to in scientific notation?

Possible Answers:

528,000 $\displaystyle 528,000$

$528\times10^3$ $\displaystyle 528\times10^3$

$5.28\times10^5$ $\displaystyle 5.28\times10^5$

$5280\times10^2$ $\displaystyle 5280\times10^2$

$.528\times10^6$ $\displaystyle .528\times10^6$

Correct answer:

$5.28\times10^5$ $\displaystyle 5.28\times10^5$

Explanation:

100 miles = 528,000 feet. To put a number in scientific notation, we put a decimal point to the right of our first number, giving us 5.28. We then multiply by 10 to whatever power necessary to make our decimal equal the value we are looking for. For 5.28 to equal 528,000 we must multiply by 10^5.

Therefore, our final answer becomes:

$5.28\times 10^5$ $\displaystyle 5.28\times 10^5$

Report an Error

Example Question #12 : Algebra

$0.0075 \cdot 0.0126 =?$ $\displaystyle 0.0075 \cdot 0.0126 =?$

Possible Answers:

$9.45\cdot 10^{-5}$ $\displaystyle 9.45\cdot 10^{-5}$

$\displaystyle 0.000945$

$0.945\cdot 10^{-5}$ $\displaystyle 0.945\cdot 10^{-5}$

$9.45\cdot 10^{-6}$ $\displaystyle 9.45\cdot 10^{-6}$

Correct answer:

$9.45\cdot 10^{-5}$ $\displaystyle 9.45\cdot 10^{-5}$

Explanation:

This question requires you to have an understanding of scientific notation. Begin by multiplying the two numbers:

$0.0075 \cdot 0.0126 =0.0000945$ $\displaystyle 0.0075 \cdot 0.0126 =0.0000945$

To use scientific notation, the number to the left of the decimal has to be between 1 and 10. In this case, we are looking to move the decimal place until we are left with 9 on the left of the decimal. Count the number of places that the decimal will have to move. In this case, it is five. Therefore:

$9.45\cdot 10^{-5}$ $\displaystyle 9.45\cdot 10^{-5}$

Note: The notation is raised to a negative power because we moved the decimal from left to right.

Report an Error

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Seattle, ACT Tutors in Philadelphia, Statistics Tutors in Philadelphia, GRE Tutors in Miami, French Tutors in Houston, Spanish Tutors in San Francisco-Bay Area, Reading Tutors in San Francisco-Bay Area, Statistics Tutors in Phoenix, Reading Tutors in Phoenix, SSAT Tutors in Dallas Fort Worth

Popular Courses & Classes

SSAT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Boston, ISEE Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Denver, ISEE Courses & Classes in Washington DC, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in Atlanta, ISEE Courses & Classes in New York City, Spanish Courses & Classes in Miami

Popular Test Prep

GRE Test Prep in Boston, ISEE Test Prep in San Francisco-Bay Area, LSAT Test Prep in Boston, LSAT Test Prep in Chicago, LSAT Test Prep in New York City, GMAT Test Prep in Seattle, SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Seattle, GRE Test Prep in Seattle, ISEE Test Prep in Houston

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

Email address:
Your name:
Feedback:

GRE Math : Other Exponents

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #11 : Algebra

Example Question #11 : Algebra

Example Question #12 : Algebra

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details