Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Middle Level Math

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #74 : How To Find The Whole From The Part

What is 45.218 in expanded form?

$4\times10+5\times1+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Possible Answers:

$4\times1+5\times10+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

$4\times10+5\times100+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$4\times10+5\times1+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$4\times10+5\times1+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

$4\times1+5\times10+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Correct answer:

$4\times10+5\times1+2\times\left(\frac{1}{10}\right)+1\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$4\times10=40$

is in the ones place, so we multiply by .

$5\times1=5$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$1\times\frac{1}{100}=.01$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}40.000\\5.000\\ +\ .200\\ .010\\.008 \end{array}}{ \ \ \space45.218}$

Report an Error

Example Question #75 : How To Find The Whole From The Part

What is 54.758 in expanded form?

Possible Answers:

$5\times10+4\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

$5\times1+4\times10+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$5\times10+4\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

$5\times10+4\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$5\times1+4\times10+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

Correct answer:

$5\times10+4\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$5\times10=50$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$7\times\frac{1}{10}=.7$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}50.000\\4.000\\ +\ .700\\ .050\\.008 \end{array}}{ \ \ \space54.758}$

Report an Error

Example Question #76 : How To Find The Whole From The Part

What is 66.729 in expanded form?

Possible Answers:

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)+9\times\left(\frac{1}{1000}\right)$

$6\times1+6\times10+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{10000}\right)$

$6\times1+6\times10+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{1000}\right)$

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{1000}\right)$

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{10000}\right)$

Correct answer:

$6\times10+6\times1+7\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+9\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$6\times10=60$

is in the ones place, so we multiply by .

$6\times1=6$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$7\times\frac{1}{10}=.7$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$2\times\frac{1}{100}=.02$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$9\times\frac{1}{1000}=.009$

Then we add the products together.

$\frac{\begin{array}[b]{r}60.000\\6.000\\ +\ .700\\ .020\\.009 \end{array}}{ \ \ \space66.729}$

Report an Error

Example Question #77 : How To Find The Whole From The Part

What is 73.958 in expanded form?

Possible Answers:

$7\times10+3\times1+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

$7\times1+3\times10+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+3\times100+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+3\times1+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times1+3\times10+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

Correct answer:

$7\times10+3\times1+9\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$7\times10=70$

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$9\times\frac{1}{10}=.9$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.000\\3.000\\ +\ .900\\ .050\\.008 \end{array}}{ \ \ \space73.958}$

Report an Error

Example Question #245 : Number & Operations In Base Ten

What is 84.673 in expanded form?

Possible Answers:

$8\times1+4\times10+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{10000}\right)$

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{1000}\right)+3\times\left(\frac{1}{1000}\right)$

$8\times10+4\times100+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

Correct answer:

$8\times10+4\times1+6\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+3\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$8\times10=80$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$6\times\frac{1}{10}=.6$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$3\times\frac{1}{1000}=.003$

Then we add the products together.

$\frac{\begin{array}[b]{r}80.000\\4.000\\ +\ .600\\ .070\\.003 \end{array}}{ \ \ \space84.673}$

Report an Error

Example Question #78 : How To Find The Whole From The Part

What is 94.525 in expanded form?

Possible Answers:

$9\times10+4\times100+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times10+4\times10+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times1+4\times10+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{10000}\right)$

$9\times10+4\times1+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times10+4\times1+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)+5\times\left(\frac{1}{1000}\right)$

Correct answer:

$9\times10+4\times1+5\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$9\times10=90$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$5\times\frac{1}{10}=.5$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$2\times\frac{1}{100}=.02$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$5\times\frac{1}{1000}=.005$

Then we add the products together.

$\frac{\begin{array}[b]{r}90.000\\4.000\\ +\ .500\\ .020\\.005 \end{array}}{ \ \ \space94.525}$

Report an Error

Example Question #251 : Number & Operations In Base Ten

What is 28.278 in expanded form?

Possible Answers:

$2\times10+8\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$2\times1+8\times10+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$2\times10+8\times100+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$2\times10+8\times100+2\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$2\times10+8\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

Correct answer:

$2\times10+8\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$2\times10=20$

is in the ones place, so we multiply by .

$8\times1=8$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}20.000\\8.000\\ +\ .200\\ .070\\.008 \end{array}}{ \ \ \space28.278}$

Report an Error

Example Question #252 : Number & Operations In Base Ten

What is 49.754 in expanded form?

Possible Answers:

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{10000}\right)$

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)+4\times\left(\frac{1}{1000}\right)$

$4\times10+9\times100+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

$4\times1+9\times10+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

Correct answer:

$4\times10+9\times1+7\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)+4\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$4\times10=40$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$7\times\frac{1}{10}=.7$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$4\times\frac{1}{1000}=.004$

Then we add the products together.

$\frac{\begin{array}[b]{r}40.000\\9.000\\ +\ .700\\ .050\\.004 \end{array}}{ \ \ \space49.754}$

Report an Error

Example Question #71 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 76.148 in expanded form?

Possible Answers:

$7\times10+6\times10+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{1000}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+6\times1+10\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{10000}\right)$

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Correct answer:

$7\times10+6\times1+1\times\left(\frac{1}{10}\right)+4\times\left(\frac{1}{100}\right)+8\times\left(\frac{1}{1000}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$7\times10=70$

is in the ones place, so we multiply by .

$6\times1=6$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$1\times\frac{1}{10}=.1$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$4\times\frac{1}{100}=.04$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.000\\6.000\\ +\ .100\\ .040\\.008 \end{array}}{ \ \ \space76.148}$

Report an Error

Example Question #1221 : Numbers And Operations

What number is two hundred fifty-three and eighty-six hundredths?

Possible Answers:

253.084

253.86

$25\textup,386$

$25\textup,384$

253.086

Correct answer:

253.86

Explanation:

In number form, two hundred fifty-three and eighty-six hundredths is 253.86 . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.

Report an Error

View SSAT- Middle Level Tutors

Sara
Certified Tutor

Yale University, Bachelors, Theatre and French. Indiana University-Bloomington, PHD, Theatre History, Anthropology.

View SSAT- Middle Level Tutors

Sundeep
Certified Tutor

Indian Institute of Technology, Engineering in Computer Science, Electrical Engineering. New York University, Masters in Busi...

View SSAT- Middle Level Tutors

Jamie
Certified Tutor

University of Southern Indiana, Bachelor of Science, Health Sciences, General. University of Southern Indiana, Bachelor of Sc...

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in New York City, Calculus Tutors in Atlanta, SAT Tutors in New York City, SAT Tutors in Los Angeles, French Tutors in Los Angeles, Physics Tutors in Washington DC, French Tutors in Boston, English Tutors in Miami, Biology Tutors in Los Angeles, English Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, LSAT Courses & Classes in Chicago, GMAT Courses & Classes in Boston, LSAT Courses & Classes in Denver, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in Denver, SSAT Courses & Classes in Houston, MCAT Courses & Classes in San Diego, ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Dallas Fort Worth

Popular Test Prep

LSAT Test Prep in Boston, SSAT Test Prep in Atlanta, ACT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Houston, LSAT Test Prep in Phoenix, ISEE Test Prep in Washington DC, ISEE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Seattle, SAT Test Prep in Washington DC, GRE Test Prep in Chicago

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

SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #74 : How To Find The Whole From The Part

Example Question #75 : How To Find The Whole From The Part

Example Question #76 : How To Find The Whole From The Part

Example Question #77 : How To Find The Whole From The Part

Example Question #245 : Number & Operations In Base Ten

Example Question #78 : How To Find The Whole From The Part

Example Question #251 : Number & Operations In Base Ten

Example Question #252 : Number & Operations In Base Ten

Example Question #71 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #1221 : Numbers And Operations

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: