Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to multiply odd numbers

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 #1 : How To Multiply Odd Numbers

If and are both odd integers, which of the following is not necessarily odd?

Possible Answers:

2m-n

m-2n

m^2n

$\frac{m+n}{2}$

Correct answer:

$\frac{m+n}{2}$

Explanation:

With many questions like this, it might be easier to plug in numbers rather than dealing with theoretical variables. However, given that this question asks for the expression that is not always even or odd but only not necessarily odd, the theoretical route might be our only choice.

Therefore, our best approach is to simply analyze each answer choice.

m^2n : Since is odd, m^2 is also odd, since and odd number multiplied by an odd number yields an odd product. Since is also odd, multiplying it by m^2 will again yield an odd product, so this expression is always odd.

m-2n : Since is odd, multiplying it by 2 will yield an even number. Subtracting this number from will also give an odd result, since an odd number minus an even number gives an odd number. Therefore, this answer is also always odd.

: Since both numbers are odd, their product will also always be odd.

2m-n : Since is odd, multiplying it by 2 will give an even number. Since is odd, subtracting it from our even number will give an odd number, since an even number minus and odd number is always odd. Therefore, this answer will always be odd.

$\frac{m+n}{2}$ : Since both numbers are odd, there sum will be even. However, dividing an even number by another even number (2 in our case) does not always produce an even or an odd number. For example, 5 and 7 are both odd. Their sum, 12, is even. Dividing by 2 gives 6, an even number. However, 5 and 9 are also both odd. Their sum, 14, is even, but dividing by 2 gives 7, an odd number. Therefore, this expression isn't necessarily always odd or always even, and is therefore our answer.

Report an Error

Example Question #3 : How To Multiply Odd Numbers

Theodore has jelly beans. Portia has three times that amount. Harvey has five times as many as she does. What is the total count of jelly beans in the whole group?

Possible Answers:

135

300

315

285

150

Correct answer:

285

Explanation:

To find the answer to this question, calculate the total jelly beans for each person:

Portia: * <Theodore's count of jelly beans>, which is 3 * 15 or

Harvey: * <Portia's count of jelly beans>, which is 5*45 or 225

So, the total is:

15+45+225=285

(Do not forget that you need those original for Theodore!)

Report an Error

Example Question #1 : How To Multiply Odd Numbers

Find the product of and .

Possible Answers:

Correct answer:

Explanation:

Rewrite the product into the expression $13\cdot 7$ , and multiply the ones digit of both numbers.

3(7)=21

The ones digit of the final answer is the ones digit from the multiplication of 3 and 7 thus the 1. The tens digit, 2, will be carried over to the next calculation.

Multiply the tens digit of 13 to 7 and add the carry over.

7(1)+2=9

The value of 9 is the tens digit of the final answer.

Combine the tens digit with the ones digit. The answer is .

Report an Error

Example Question #1 : How To Multiply Odd Numbers

The product of two numbers is a negative odd integer. Which statement must be true about the numbers?

Possible Answers:

$\textup{Both numbers must be odd.}$

$\textup{Both numbers must be even.}$

$\textup{Both numbers cannot be odd.}$

$\textup{Both numbers must be negative.}$

$\textup{Both numbers must be integers.}$

Correct answer:

$\textup{Both numbers must be odd.}$

Explanation:

For the product of two numbers to be even, one number must be even. For the product of two numbers to be odd, both numbers must be odd.

Remember:

$O \cdot E = E$

$O \cdot O = O$

$E \cdot E = E$

Report an Error

View ACT Math Tutors

Chase
Certified Tutor

Western Governors University, Bachelor of Science, Mathematics.

View ACT Math Tutors

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

View ACT Math Tutors

Margaret
Certified Tutor

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

Spanish Courses & Classes in Chicago, GRE Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Houston, GMAT Courses & Classes in New York City, GMAT Courses & Classes in Phoenix, ACT Courses & Classes in Phoenix, GRE Courses & Classes in Denver, ISEE Courses & Classes in San Diego, ISEE Courses & Classes in Atlanta

Popular Test Prep

GMAT Test Prep in Houston, GRE Test Prep in Chicago, SSAT Test Prep in Atlanta, SAT Test Prep in Atlanta, SSAT Test Prep in Denver, MCAT Test Prep in New York City, ACT Test Prep in Phoenix, SAT Test Prep in Washington DC, GMAT Test Prep in Chicago, GMAT Test Prep in Phoenix

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 : How to multiply odd numbers

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Multiply Odd Numbers

Example Question #3 : How To Multiply Odd Numbers

Example Question #1 : How To Multiply Odd Numbers

Example Question #1 : How To Multiply Odd Numbers

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: