Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #421 : Operations And Properties

Which of the following statements demonstrates the inverse property of addition?

Possible Answers:

2.5+ (-2.5) = 0

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

None of the examples in the other responses demonstrates the inverse property of addition.

2.5 + 0 = 2.5

2.5+5= 5+2.5

Correct answer:

2.5+ (-2.5) = 0

Explanation:

The inverse property of addition states that for every real number, a number exists, called the additive inverse, such that the number and its inverse have sum 0. Of the statements given, only

2.5+ (-2.5) = 0

demonstrates this property, so it is the correct choice.

Report an Error

Example Question #422 : Operations And Properties

What is the additive inverse of 30?

Possible Answers:

$\frac{1}{30}$

$-\frac{1}{30}$

Correct answer:

Explanation:

The question asks us what number added with 30 will equal zero. Write the mathematical equation that represents this scenario.

30+x = 0

Subtract 30 from both sides.

x=-30

Report an Error

Example Question #423 : Operations And Properties

Which of the following displays the additive inverse property?

Possible Answers:

a + 0 = a

a + b = b + a

(a + b) + c = a + (b + c)

a + b = 0

a(b + c) = ab + ac

Correct answer:

a + b = 0

Explanation:

The additive inverse property is when two numbers added together equal zero. So,

a + b = 0

displays that property.

Report an Error

Example Question #1 : Multiplicative Identity Property

What property can be applied to the following expression?

$\frac{x}{\sqrt{5}} \times 1 = \frac{x}{\sqrt{5}}$

Possible Answers:

Distributive Law

Associative of Multiplication

Commutative of Addition

Multiplicative Inverse

Multiplicative Identity

Correct answer:

Multiplicative Identity

Explanation:

The rule for Multiplicative Identity Property is $a \times 1 = a$

Expression given in the question is: $\frac{x}{\sqrt{5}} \times 1 = \frac{x}{\sqrt{5}}$

Hence the property is Multiplicative Identity.

Report an Error

Example Question #2 : Multiplicative Identity Property

Which of the following demonstrates the multiplicative inverse property?

Possible Answers:

$\frac{1}{4}\times 4=1$

$(4\times2)\times3=4\times(2\times3)$

$3\times2=2\times3$

$7\times1=7$

Correct answer:

$\frac{1}{4}\times 4=1$

Explanation:

The multiplicative inverse property states that for some value ,

$n\times \frac{1}{n}=1$ .

Therefore, the statement demonstrating the multiplicative inverse property is

$\frac{1}{4}\times4=1$ .

Report an Error

Example Question #3 : Multiplicative Identity Property

Which of the following statements demonstrates the identity property of multiplication?

Possible Answers:

None of the examples in the other responses demonstrates the identity property of multiplication.

$\frac{2}{3} \times \frac{5}{7} = \frac{5}{7} \times \frac{2}{3}$

$\frac{2}{3} \times 1 = \frac{2}{3}$

$\frac{2}{3} \times \frac{3}{2} = 1$

$\left (\frac{2}{3} \times \frac{5}{7} \right ) \times \frac{6}{11} = \frac{2}{3} \times\left ( \frac{5}{7} \times \frac{6}{11} \right )$

Correct answer:

$\frac{2}{3} \times 1 = \frac{2}{3}$

Explanation:

The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements,

$\frac{2}{3} \times 1 = \frac{2}{3}$

demonstrates this property.

Report an Error

Example Question #2 : Multiplicative Identity Property

Which property does the equation below represent?

$\frac{8}{21} * 1 = \frac{8}{21}$

Possible Answers:

Multiplicative Identity Property

Distributive Property

Communitive Property of Multiplication

Associative Property of Multiplication

Zero Property of Multiplication

Correct answer:

Multiplicative Identity Property

Explanation:

When something is multiplied by the number one it remains the same number. Therefore when multiplying by one it creates its own identity.

Multiplicative Identity Property

Report an Error

Example Question #3 : Multiplicative Identity Property

Which equation shows an example of the multiplicative identity property?

Possible Answers:

2 * 4 * 6 =

32 * 0 =

(7 * 5) * 2 =

64r * 1 =

8 + (6 + 12) =

Correct answer:

64r * 1 =

Explanation:

The multiplicative identity property means that when something is multiplied by 1 then it will remain the same as the other number.

64r * 1 = 64r

Report an Error

Example Question #4 : Multiplicative Identity Property

Which of the following displays the multiplicative identity property?

Possible Answers:

$a \cdot 0 = 0$

$a \cdot b = ab$

$a \cdot 1 = a$

$a \cdot b = b \cdot a$

$a (b \cdot c) = (a \cdot b) \cdot (a \cdot c)$

Correct answer:

$a \cdot 1 = a$

Explanation:

The multiplicative identity property states that when you multiply a number by 1, the answer is the original number.

Therefore,

$a \cdot 1 = a$

displays the multiplicative identity property.

Report an Error

Example Question #1 : Multiplicative Inverse Property

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

Possible Answers:

$\frac{1}{4c}$

$\frac{4}{c}$

$\frac{3}{4c^2}$

Correct answer:

Explanation:

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!

$\frac{\frac{12}{c}}{\frac{3}{c^2}}=\frac{12}{c}\div\frac{3}{c^2}=\frac{12}{c}\times\frac{c^2}{3}$

Solve the multiplication.

$\frac{12}{c}\times\frac{c^2}{3}=\frac{12\times c^2}{c\times3}=\frac{12c^2}{3c}$

Now we need to reduce the fraction to find our final answer.

$\frac{12c^2}{3c}=\frac{3c(4c)}{3c}=4c$

Report an Error

View Pre-Algebra Tutors

Meghan
Certified Tutor

Sussex County Community College, Associate in Science, Human Services. Southern New Hampshire University, Bachelor of Science...

View Pre-Algebra Tutors

Saarim
Certified Tutor

St Edwards University, Bachelor of Science, Mathematics.

View Pre-Algebra Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in San Francisco-Bay Area, French Tutors in Seattle, Biology Tutors in Atlanta, Calculus Tutors in Philadelphia, Calculus Tutors in Denver, Statistics Tutors in Denver, Biology Tutors in Washington DC, Spanish Tutors in San Francisco-Bay Area, GMAT Tutors in Philadelphia, Physics Tutors in Los Angeles

Popular Courses & Classes

ISEE Courses & Classes in San Diego, MCAT Courses & Classes in Atlanta, GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Atlanta, SAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Atlanta, SAT Courses & Classes in Washington DC, ACT Courses & Classes in Houston, ISEE Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Denver

Popular Test Prep

GRE Test Prep in Seattle, GRE Test Prep in Los Angeles, GRE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Philadelphia, MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Washington DC, LSAT Test Prep in New York City, ISEE Test Prep in Seattle, MCAT Test Prep in Boston, SAT Test Prep in San Diego

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

Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #421 : Operations And Properties

Example Question #422 : Operations And Properties

Example Question #423 : Operations And Properties

Example Question #1 : Multiplicative Identity Property

Example Question #2 : Multiplicative Identity Property

Example Question #3 : Multiplicative Identity Property

Example Question #2 : Multiplicative Identity Property

Example Question #3 : Multiplicative Identity Property

Example Question #4 : Multiplicative Identity Property

Example Question #1 : Multiplicative Inverse Property

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: