Math 7 · Unit 3, Lesson 6
Fractions to Decimals
Long division: the decimal stops or repeats
ElleMath-speak
In this lesson, we convert fractions to decimals using long division. The decimal form of a rational number either terminates or repeats.
FinnPlain English
A fraction is a division problem, so divide it out. The decimal will either stop or get stuck in a loop. Either way, it's a rational number.
Write it down. Do every change on paper, one line per step. Changing signs in your head is the number one reason for missed problems. If you changed something, it should be on the paper.
Go in order. Each tile has a short explanation, then a "Let me try a few" button.
1Divide It OutThe top goes insideStart here
2Decimals That RepeatWhen the remainders start over
3Stop or Repeat?Mixed numbers, negatives, and calling it ahead of time
When you have finished
At the end of each tile you will find a review form to give us feedback.
NC standard: NC.7.NS.2.