You'll now learn to work with remainders that produce repeating patterns.
When dividing some decimal numbers, the answer has a remainder.
When you divide in this problem, you get 3 with a remainder of 1.
For the next digit, you get 3 with a remainder of 1.
And the pattern repeats for as many places as you care to show. This is a repeating pattern.
To show that an answer is a repeating pattern, make a line over the part that is going to repeat. The repeating pattern is 3 in this problem.
Let's try another one. Divide until you have four decimal places. Then mark the repeating pattern by making a line over the first part that repeats. Here's what you get when you divide.
The part that keeps repeating is 6. So here's how you show that: a line over the first 6.
Here's a different kind of repeating decimal.
Divide 1 by 11 until you have four decimal places.
The part that repeats is 09. So draw one line over the first 0 and 9.
