1. Lesson 2
MGSE8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
I can…
…convert repeating decimals into a fraction.

2. Repeating Decimals All repeating decimals can be written as fractions
They are
‘rational numbers’

3. Recurring Decimals

4. Changing a repeating decimal with 1 number repeating

5. Let’s Practice

6. Changing a repeating decimal with multiple numbers repeating

7. Is there another method?
YES!
Method 2

8. If you don’t have Media Player see next slides

9. Repeating Decimals e.g. 0.333333333… Let x = 0.333333333…
Then 10x = …
We do a subtraction…

10. 10x = …
- x = …
9x = 3
X = 3 = 1

11. e.g …
Let x = …
100x = …
We do a subtraction…

12. 100x = …
- x =
99x = 56
X = 56 99

13. Now you try
Convert the decimals to fractions
….. ….