August SALE! Get Math Mammoth and Make It Real Learning downloads & CDs at 27% off — right here at the MathMammoth.com website. Use coupon code M3Z2-VXC5-G8P4 at checkout. Offer valid through September 1, 2019.



^

How to convert fractions to decimals - beginner lesson

Some fractions are easy to write as decimals, because their denominator is a power of ten (10, 100, 1000, etc.), or because you can find an equivalent fraction with a denominator that is a power of ten. For example, 3/4 = 75/100, and then you just write 75/100 as 0.75. Or, 3/8 = 375/1000 = 0.375.

But most of the time we need to use division to change a fraction into a decimal. This means either long division or dividing with a calculator.

For example, to convert 5/13 into a decimal, you divide 5 by 13. In long division, you might add decimal zeros to the dividend (5) before you even start, for example so it becomes 5.00000.

Often, these divisions don't terminate, but we do notice a PATTERN in the decimal digits — and also in the remainders that show up in long division.

In fact, any fraction (rational number), when written as a decimal, either has a repeating pattern in the digits that goes on forever, or the decimal terminates.

And... irrational numbers are such that cannot be written as fractions, and their decimal representation does NOT contain any repeating pattern in the digits.





See also

Equations with percentages — video lesson

Many operations with rationals, including complex fractions — video lesson

Math Mammoth Rational Numbers — a short workbook where you can find worksheets to match this lesson.

Math Mammoth Grade 7 curriculum (pre-algebra)

Back to pre-algebra videos index

Back to rational numbers videos index

Back to the index of all videos

WAIT!

Receive my monthly collection of math tips & resources directly in your inbox — and get a FREE Math Mammoth book! :)


We respect your email privacy.
You can unsubscribe at any time.

Math Mammoth Tour


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

An initial email to download your GIFT of over 400 free worksheets and sample pages from my books. Six other "TOURSTOP" emails that explain the important things and commonly asked questions concerning Math Mammoth curriculum. (Find out the differences between all these different-colored series!)

This way, you'll have time to digest the information over one or two weeks, plus an opportunity to ask me personally about the curriculum.
A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)
We respect your email privacy.

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" 2-week course, where you will receive emails on important topics on teaching math, including:

- How to help a student who is behind
- Troubles with word problems
- Teaching multiplication tables
- Why fractions are so difficult
- The value of mistakes
- Should you use timed tests
- And more!

You will also receive:

A GIFT of over 400 free worksheets and sample pages from my books right in the very beginning. smile A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)
We respect your email privacy.

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 Tips


Enter your email to receive math teaching tips, resources, Math Mammoth news & sales, humor, and more! I tend to send out these tips about once monthly, near the beginning of the month, but occasionally you may hear from me twice per month (and sometimes less often). smile

Peek at the previous tips here.

You will also receive:

  • A GIFT of over 400 free worksheets and sample pages from my books. smile
We respect your email privacy.