We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : How To Find The Square Root Of A Decimal

Find the square root of 0.16 .

Possible Answers:

0.04

0.256

0.004

0.4

0.0256

Correct answer:

0.4

Explanation:

Rewrite the expression in radical form.

$\sqrt{0.16}$

Rewrite the decimal with factors and simplify.

$\sqrt{0.16} = \sqrt{0.4\cdot 0.4} = \sqrt{0.4}\cdot \sqrt{0.4}=0.4$

Report an Error

Example Question #2 : How To Find The Square Root Of A Decimal

Find the square root of 0.04 .

Possible Answers:

0.02

0.002

0.0002

0.0016

0.2

Correct answer:

0.2

Explanation:

Rewrite the question in radical form.

$\sqrt{0.04}$

Split up 0.04 into its common factor.

$\sqrt{0.2 \cdot 0.2} = \sqrt{0.2} \cdot \sqrt{0.2} = 0.2$

Report an Error

Example Question #1351 : Act Math

Evaluate: $-\sqrt{0.0001}$

Possible Answers:

$Answer \:does \:not\ exist.$

-0.0001

-0.1

-1.01

-0.01

Correct answer:

-0.01

Explanation:

The answer exists because the number inside the radical is not negative.

First evaluate $\sqrt{0.0001}$ by splitting the inside number by its common factor.

$\sqrt{0.0001}= \sqrt{0.01 \cdot 0.01} = 0.01$

The negative sign before the radical means that the negative is distributed after evaluating the radical.

$-(\sqrt{0.0001})= -(0.01)= -0.01$

Therefore, the answer is -0.01 .

Report an Error

Example Question #1352 : Act Math

Evaluate: $\sqrt{-0.64}$

Possible Answers:

-0.8

-0.04096

-0.008

$Answer\: does\: not\: exist.$

-0.4096

Correct answer:

$Answer\: does\: not\: exist.$

Explanation:

The answer does not exist since it's not possible to take the square root of negative numbers.

Report an Error

Example Question #3 : How To Find The Square Root Of A Decimal

Solve for :

$\frac{x}{\sqrt{0.04}}=\sqrt{0.16}$

Possible Answers:

0.2

0.4

0.64

0.08

Correct answer:

0.08

Explanation:

Just like any other equation, isolate your variable. Start by multiplying both sides by $\sqrt{0.04}$ :

$x=\sqrt{0.16}*\sqrt{0.04}$

Now, this is the same as:

$x=\sqrt{0.0064}$

You know that $\sqrt{64}$ is . You can intelligently rewrite this problem as:

$x=\sqrt{0.0064}=\sqrt{\frac{1}{10\textup{,}000}*64}$ , which is the same as:

$\sqrt{\frac{1}{10\textup{,}000}*64}=\sqrt{\frac{1}{10\textup{,}000}}*\sqrt{64}=\frac{1}{100}*8=0.08$

Report an Error

Example Question #4 : How To Find The Square Root Of A Decimal

Find the square root of the following decimal:

$\small \sqrt{0.00000025}$

Possible Answers:

$\small 0.005$

$\small 0.0005$

0.00158

$\small 0.00025$

Correct answer:

$\small 0.0005$

Explanation:

To find the square root of this decimal we convert it into scientific notation.

$\small \small 0.00000025 = 25 \times 10^{-8}$

Because $\small \small 10^{-8}$ has an even exponent, we can divide the exponenet by 2 to get its square root. $\small 25$ is a perfect square, whose square root is $\small 5$ .

$\small \small \sqrt{0.00000025} = \sqrt{25}\times \sqrt{10^{-8}} = 5\times10^{-4} = 0.0005$

Report an Error

Example Question #11 : How To Find The Square Root Of A Decimal

If $x=\sqrt{\frac{1}{0.25}}$ , which of the following is true?

Possible Answers:

x<1

0<x<1

2>x>1

x=1

1<x<3

Correct answer:

1<x<3

Explanation:

$\sqrt{\frac{1}{0.25}}=\frac{\sqrt{1}}{\sqrt{0.25}}=\frac{1}{0.5}=2$

To convince yourself that 0.5 is indeed the square root of 0.25 , let's square 0.5 .

$0.5\times0.5=0.25$ , so this is true. Since we now know that x=2 , the answer that is true given this information is 1<x=2<3 .

Report an Error

Example Question #31 : Decimals

Write the number 450,000 in scientific notation.

Possible Answers:

45 x 10⁵

4.5 x 10⁵

4.5 x 10⁶

45 x 10⁶

450 x 10⁶

Correct answer:

4.5 x 10⁵

Explanation:

450,000 = 4.5 x 100,000

100,000 = 10⁵(exponent is equal to the number of zeros)

450,000 = 4.5 x 10⁵

Report an Error

Example Question #32 : Decimals

If 3.0147 * 10ⁿ= 3,014,700,000, then n =

Possible Answers:

–8

–4

Correct answer:

Explanation:

To determine this answer, move the decimal point in 3.0147 until you get 3,014,700,000 (9 places). There are 9 decimal places after the decimal point.

Report an Error

Example Question #1 : How To Convert Decimals To Scientific Notation

Write the following number in scientific notation:

$\dpi{100} \small 175,000,000$

Possible Answers:

$\dpi{100} \small 17.5 \times 10^{7}$

$\dpi{100} \small 1.75 \times 10^{8}$

$\dpi{100} \small .175 \times 10^{5}$

$\dpi{100} \small 1.75 \times 10^{7}$

$\dpi{100} \small 175 \times 10^{6}$

Correct answer:

$\dpi{100} \small 1.75 \times 10^{8}$

Explanation:

Slide the decimal point to the left as many places as you need to make a number between 1 and 10. Multiply that number by 10 to the power of however many decimal places you moved the decimal.

Report an Error

View ACT Math Tutors

Usman
Certified Tutor

New York University, Bachelor in Arts, Political Science and Government.

View ACT Math Tutors

Thomas
Certified Tutor

Dartmouth College, Bachelor in Arts, Biochemistry and Molecular Biology. Columbia University in the City of New York, Master ...

View ACT Math Tutors

Godfrey
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Chemistry. CUNY Queens College, Master of Science, Environmental Science.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

ISEE Courses & Classes in Chicago, MCAT Courses & Classes in Denver, MCAT Courses & Classes in New York City, Spanish Courses & Classes in San Diego, SSAT Courses & Classes in Atlanta, LSAT Courses & Classes in Los Angeles, SAT Courses & Classes in Los Angeles, ACT Courses & Classes in Atlanta, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in New York City, MCAT Test Prep in Chicago, GRE Test Prep in San Francisco-Bay Area, SAT Test Prep in Philadelphia, GRE Test Prep in Dallas Fort Worth, SAT Test Prep in New York City, SAT Test Prep in Atlanta, LSAT Test Prep in Los Angeles, MCAT Test Prep in Boston, GRE Test Prep in Philadelphia

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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #4 : How To Find The Square Root Of A Decimal

Example Question #2 : How To Find The Square Root Of A Decimal

Example Question #1351 : Act Math

Example Question #1352 : Act Math

Example Question #3 : How To Find The Square Root Of A Decimal

Example Question #4 : How To Find The Square Root Of A Decimal

Example Question #11 : How To Find The Square Root Of A Decimal

Example Question #31 : Decimals

Example Question #32 : Decimals

Example Question #1 : How To Convert Decimals To Scientific Notation

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: