Math Mammoth Decimals 2

125 pages
(includes answers)

Sample pages (PDF)
Contents
Comparing Decimals
Multiply a Decimal by a Whole Number
Divide Decimals by Whole Numbers
Divide Decimals by Decimals 1

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Este libro en español

Math Mammoth Decimals 2 is a book about decimal place value and the four operations with decimals. Its content matches fifth grade standards, but the book is useful for anyone who needs to learn these topics and who has the sufficient foundation (of approximately 4th grade math).

The book starts out with the topics of place value and decimals on a number line. Then students solve sums, such as 0.8 + 0.06, using mental math and their knowledge of place value. (The value of that sum is 0.86, not 0.14, as students with a misconception might answer.)

Adding and subtracting decimals in columns comes next. Students also learn to compare and round decimals.

Then we study multiplying and dividing decimals by whole numbers, both using mental math, and using multiplication in columns, and long division.

In the second part of the book, we turn our attention to multiplication and division of decimals in a more detailed manner.

The topic of multiplying and dividing decimals by powers of ten is presented with the help of place value charts. Next, we study how to multiply decimals by decimals. Students are encouraged to use estimation in decimal multiplications. They also solve problems connected to real life, learn about multiplication as scaling, and practice decimal divisions that can be done with mental math.

Then we study the metric system and how to convert various metric units. The first of the two lessons mainly deals with very commonly used metric units, and we use the meaning of the prefix to do the conversion. The second lesson deals with more metric units, even those not commonly used, such as dekaliters and hectograms, and teaches a method for conversions using a chart.

Next, we turn our attention to dividing decimals by decimals, which then completes our study of all decimal arithmetic. The principle here is fairly simple, but it is easy to forget (multiply both the dividend and the divisor by a power of ten, until you have a whole-number divisor).

After learning that, students practice measurement conversions within the customary system and do some generic problem solving involving decimal numbers.

At this link you can find videos that match the lessons in this book.

The PDF version of this book can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. See more.

At this link, you can make additional supporting worksheets for 5th grade decimal topics. Scroll down to the "Decimals" section.

After studying Math Mammoth Decimals 2, the student should understand how to perform all four operations with decimals. However, please note that the lessons here don't offer practice for these operations with decimals that have more than three decimal digits. We offer just that in the book Math Mammoth Fractions & Decimals 3, intended for 6th grade or higher.