Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : How to multiply negative numbers

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : How To Add / Subtract / Multiply / Divide Negative Numbers

If $\displaystyle ab$ is a positive number, and -3b $\displaystyle -3b$ is also a positive number, what is a possible value for $\displaystyle a$?

Possible Answers:

$\displaystyle -1$

$\displaystyle 0$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle 2$

$\displaystyle 1$

Correct answer:

$\displaystyle -1$

Explanation:

Because $\dpi{100} \small -3b$ $\displaystyle \dpi{100} \small -3b$ is positive, $\dpi{100} \small b$ $\displaystyle \dpi{100} \small b$ must be negative since the product of two negative numbers is positive.

Because $\dpi{100} \small ab$ $\displaystyle \dpi{100} \small ab$ is also positive, $\dpi{100} \small a$ $\displaystyle \dpi{100} \small a$ must also be negative in order to produce a prositive product.

To check you answer, you can try plugging in any negative number for $\dpi{100} \small a$ $\displaystyle \dpi{100} \small a$.

Report an Error

Example Question #3 : Negative Numbers

Multiply the following negative numbers: $(-4)\cdot(-6)$ $\displaystyle (-4)\cdot(-6)$.

Possible Answers:

$\displaystyle 10$

$\displaystyle -24$

$\displaystyle 24$

$\displaystyle -2$

$\displaystyle 2$

Correct answer:

$\displaystyle 24$

Explanation:

When two negative numbers are multiplied by each other, the result is a positive number.

When a negative and a nonnegative number are multiplied with each other, the result is a negative number.

Therefore, since $\displaystyle -6$ and $\displaystyle -4$ are negative numbers, the product must be positive.

Therefore, the answer is positive $\displaystyle 24$.

Report an Error

Example Question #1 : How To Multiply Negative Numbers

Multiply: $(-3)(-6\times3)(-3+2)$ $\displaystyle (-3)(-6\times3)(-3+2)$

Possible Answers:

$\displaystyle -270$

$\displaystyle -54$

972 $\displaystyle 972$

270 $\displaystyle 270$

$\displaystyle 54$

Correct answer:

$\displaystyle -54$

Explanation:

Simplify the expression term by term.

$(-3)(-6\times3)(-3+2) = (-3)(-18)(-1)$ $\displaystyle (-3)(-6\times3)(-3+2) = (-3)(-18)(-1)$

A negative number multiplied by a negative number gives a positive number.

A negative number multiplied by a positive number gives a negative number.

$\displaystyle (-3)(-18)(-1)= 54(-1)=-54$

Report an Error

Example Question #3 : Negative Numbers

Multiply: $-9 \cdot -3 \cdot -2$ $\displaystyle -9 \cdot -3 \cdot -2$

Possible Answers:

$\displaystyle 54$

$\displaystyle 15$

$\displaystyle -27$

$\displaystyle -54$

$\displaystyle 27$

Correct answer:

$\displaystyle -54$

Explanation:

Multiply the first two terms. A negative number times another negative will result in a positive number.

$-9 \cdot -3 = 27$ $\displaystyle -9 \cdot -3 = 27$

Multiply 27 with negative 2. A positive number times a negative number will result in a negative number.

$27\cdot -2 = -54$ $\displaystyle 27\cdot -2 = -54$

The answer is: $\displaystyle -54$

Report an Error

Example Question #2 : How To Multiply Negative Numbers

Solve the following equation:

$\frac{-10-8}{2-11}$ $\displaystyle \frac{-10-8}{2-11}$

Possible Answers:

$\displaystyle -2$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$-\frac{1}{2}$ $\displaystyle -\frac{1}{2}$

$\displaystyle 2$

$\displaystyle 4$

Correct answer:

$\displaystyle 2$

Explanation:

$\frac{-10-8}{2-11}=\frac{-18}{-9}$ $\displaystyle \frac{-10-8}{2-11}=\frac{-18}{-9}$

If there are two negative signs, then the answer will be positive. If there were only one negative sign, the answer will be negative.

$\frac{-18}{-9}=2$ $\displaystyle \frac{-18}{-9}=2$

Report an Error

Example Question #2 : How To Multiply Negative Numbers

Simplify the following expression:

(-7)^3 $\displaystyle (-7)^3$

Possible Answers:

343 $\displaystyle 343$

$\displaystyle -317$

$\displaystyle 49$

$\displaystyle -343$

Correct answer:

$\displaystyle -343$

Explanation:

Simplify the following expression:

(-7)^3 $\displaystyle (-7)^3$

Let's begin by expanding the inside of the parentheses.

$\displaystyle -7*-7*-7=49*-7=-343$

Now, it is important to use all three negative signs. The first two will cancel out, but the third one will remain, ensuring our final answer will be negative.

Report an Error

View SAT Mathematics Tutors

Troy
Certified Tutor

Rice University, Bachelor in Arts, Kinesiology.

View SAT Mathematics Tutors

Kenneth
Certified Tutor

North Georgia University, Bachelors, Accounting. Brenau University, Masters, Business.

View SAT Mathematics Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

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

Popular Courses & Classes

GMAT Courses & Classes in Seattle, Spanish Courses & Classes in Boston, GRE Courses & Classes in Chicago, GRE Courses & Classes in Atlanta, ACT Courses & Classes in Phoenix, GRE Courses & Classes in Miami, GRE Courses & Classes in Los Angeles, MCAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Houston, ISEE Courses & Classes in Boston

Popular Test Prep

GRE Test Prep in Los Angeles, GMAT Test Prep in Houston, ACT Test Prep in Phoenix, GMAT Test Prep in Seattle, SAT Test Prep in Washington DC, SAT Test Prep in Phoenix, GRE Test Prep in Atlanta, GRE Test Prep in Boston, SAT Test Prep in Philadelphia, MCAT Test Prep in Los Angeles

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

SAT Math : How to multiply negative numbers

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #2 : How To Add / Subtract / Multiply / Divide Negative Numbers

Example Question #3 : Negative Numbers

Example Question #1 : How To Multiply Negative Numbers

Example Question #3 : Negative Numbers

Example Question #2 : How To Multiply Negative Numbers

Example Question #2 : How To Multiply Negative Numbers

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: