August SALE! 25%, 30%, or EVEN 35% off of all Math Mammoth & Make It Real Learning products sold at Kagi (downloads and CDs). Follow the links to Kagi's order pages on this site, and use coupon code MAMMOTH25.
  • Get 25% off when your order total is less than $50.
  • Get 30% off when your order total is at least $50 but less than $80.
  • Get 35% off when your order total is at least $80!
The offer is valid till September 2, 2014.
Light Blue Series Blue Series Golden Series Review Workbooks Make It Real Learning
Math Mammoth on Facebook

Math Mammoth on Google+







Blog
You are here: HomeBlue Series → Fractions & Decimals 3

Math Mammoth Fractions & Decimals 3

Math Mammoth Fractions & Decimals 3 math book cover
106 pages
(answers included)

Sample pages (PDF)
Contents and Introduction
Divide Decimals by Decimals
Review: Simplifying Fractions
Simplifying before Multiplying
Add and Subtract Decimals
Scaling in Maps



Prices & ordering

PDF download $7.00

Buy at Kagi
(credit cards, Paypal, check, cash, PO, wire transfer, money order; Kagi shopper help)

Buy at Currclick
(credit cards, Paypal)


Printed copy $12.70, b&w

Buy at Lulu
(credit cards, Paypal, PO)


Math Mammoth Fractions & Decimals 3 continues the study of fraction and decimal topics on the 6th grade level. This book assumes the student already has studied fractions and decimals in the past, for example using Math Mammoth Fractions 2 and Math Mammoth Decimals 2.

The PDF version of this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Adobe Reader version 9 or greater.

The goal of the book is to go through all of the fraction and decimal arithmetic, using up to six decimal digits and larger denominators in fractions than what is commonly encountered in 4th and 5th grade materials. For some students, this may mean a lot of review, but some students need to restudy these topics if they did not quite master them in earlier grades.

The book starts out with the study of decimals, the metric system, and using decimals in measuring units. If the student already has a good grasp of decimals, consider assigning only 1/3 - 1/2 of the problems, and he should be able to go through those lessons quickly.

We start out by studying place value with decimals and comparing decimals, up to six decimal digits. The next several lessons contain mainly review, just using longer decimals than in 5th grade: adding and subtracting decimals, rounding decimals, using mental math for multiplying and dividing decimals, long division with decimals, fractions to decimals, and multiplying and dividing decimals by the powers of ten.

Scientific notation is a new topic. After that, we turn our attention one more time to dividing decimals by decimals. I have tried to explain the principle behind the common shortcut ("Move the decimal point in both the divisor and the dividend enough steps that the divisor becomes a whole number"). This shortcut actually has to do with the principle that when you multiply the divisor and the dividend by the same number (any number), the value of the quotient does not change. This even ties in with equivalent fractions. Many textbooks never explain this principle in connection with decimal division.

The last lessons in the section with decimals deal with measuring units and the metric system, and nicely round up our study of decimals.

After decimals, the book covers all fraction arithmetic. The goal is that the student will become "fluent" with basic fraction operations, if he isn't already. I assume the student has already studied the four operations of fractions (in 5th grade), so the coverage of this book is slightly quicker and not so in-depth as in Math Mammoth Fractions 1 and Math Mammoth Fractions 2 books.

For example, the lessons don't always delve into the reasons why a certain shortcut works—a lot of that is explained in those two books mentioned. While I consider it very important that the student understands fractions conceptually and understands why certain things are done the way they are done, the material here is building on the material for the earlier grades, where the students have been exposed to those thoughts and ideas.

The lesson Comparing Fraction and Decimal Division is optional. Often, you can solve the same division problem using either fraction or decimal division, if you can convert the numbers from decimals to fractions or vice versa. This lesson just examines the difference between fraction division and decimal division, and best suits advanced students who are interested in it. The page about fraction equations is also optional and can be omitted.

Besides re-studying fraction operations, students also have several problem-solving lessons to study. A lot of the problems in these lessons review and reinforce already studied concepts, such as ratio and using bar diagrams to solve problems with fractional parts. As a new—and hopefully interesting—application, we study scaling in maps.


You might also be interested in:

Better Yet - Bundle Deals!

Blue Series - $110 (download) or $115 (CD)
Blue Series for grades 1-3 - $45 (download)
Blue Series for grades 4-7 - $65 (download)

Light Blue Series - $150 (download) or $155 (CD)
Light Blue Series, grades 1-3 - $75 (download)
Light Blue Series, grades 4-6 - $75 (download)

Golden/Green Series - $65 (download) or $70 (CD)
All Inclusive Bundle - $211 (download) or $216 (CD)
"Everything" Bundle - $276 (download only)

Learn more about these Math Mammoth bundles!

*BONUS*: Buy any bundle listed above, and get the fully upgraded Soft-Pak software with more features and options for FREE (includes 4 math, 1 language arts, 2 testing programs).

How and where to order

You can buy Math Mammoth books at:

  • Kagi store - all of the downloads and CDs. I maintain several order pages at Kagi:

    Kagi accepts all major credit cards, Paypal (USD), checks, cash, money orders, purchase orders, wire transfers, TrialPay, and even cash. Read more about the payment methods here. Please see Kagi Shopper Help for any other questions about the ordering process.

    After completing the order at Kagi, you will see the download links on the receipt page. You will also receive an email with download links for each book you bought, or for a zip file for the packages. You click on the links and download the books to your computer's hard drive.

    In case of any problems with the download, you can always email me, and I can email the books to you directly. My contact info will be in the email you receive.


  • CurrClick.com carries all Blue, Golden, and Light Blue series books as downloads. They accept credit cards and Paypal. You will be able to download the products immediately upon the purchase, and also return to your account at CurrClick to redownload.

  • Lulu offers printed copies for the Blue, Golden, and Light Blue series books.

  • Rainbow Resource carries printed copies for the Light Blue series books, plus Light Blue CDs. You can also find links to Rainbow Resource on the individual product pages on this site.

By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.


Math Mammoth books are PDF files. You will need Adobe Reader to view them, including if you use a Mac or Linux. You can try other PDF viewers, but they seem to either omit or mess up some of the images.

Math Mammoth Tour


Confused about the different options? Take a 7-day virtual email tour around Math Mammoth! You'll receive:

An initial email to download your GIFT of over 350 free worksheets and sample pages from my books; 6 other emails on 6 subsequent days that describe the different series of Math Mammoth products, answering the most commonly asked questions, including "What is the difference between all these different-colored series?"

This way, you'll have time to digest the information over one week, plus an opportunity to ask me personally which book would be right for your child or students.

Note: You will FIRST get an email that asks you to confirm your email address. If you cannot find this confirmation email, please check your SPAM/JUNK folder.

"Mini" Math Teaching Course


This is a little "virtual" email course. You will receive:

An initial email to download your GIFT of over 350 free worksheets and sample pages from my books; 7 articles on important topics on mathematics education, including: multiplication tables, fractions, how to help a student who is behind, and the value of mistakes; 1 email about Math Mammoth books.

Note: You will FIRST get an email that asks you to confirm your email address. If you cannot find this confirmation email, please check your SPAM/JUNK folder.

Maria's Math News


This is my newsletter that comes out about once or twice a month. Peek at the previous volumes here.

You will receive:

An initial email to download a GIFT of over 350 free worksheets and sample pages from my books; Maria's Math News: my newsletter filled with math teaching resources, news, downloads, humor, and giveaways. The content is equally good for all of us who teach math.

© 2006-2014 MathMammoth.com