1. Terminating and Repeating DecimalsPg

2. Writing fractions as decimals
Any fraction can be written as a decimal by dividing the NUMERATOR by the DENOMINATOR.
𝑁𝑢𝑚𝑒𝑟𝑎𝑡𝑜𝑟 𝐷𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟 = Numerator ÷ Denominator
1 2 = 1 ÷ 2 = 0.5
3 8 =
4 5 =
0.375
0.8

3. Terminating and Repeating Decimals
0.5, and 0.8 are all TERMINATING DECIMALS.
REPEATING DECIMALS are decimals that have a pattern in their digit(s) that repeats forever.
Let’s look at
As a decimal it is When you divide the pattern repeats.
You can use bar notation to indicate a repeating decimals.
1 3 =0. 3

4. Repeating Decimals 2 11 = 0.181818… = 0. 18 4 9 =
2 11 = … = 0. 18
4 9 =
You can rewrite terminating decimals as a fraction using the last digit to determine the power of 10. (0.1 = 1 10 , 0.01= , 0.001= )
0.24 = = = 6 25
0.125 =
0.444… =
0. 4 = =
5 40 =
1 8

5. Comparing and Ordering Rational Numbers
A RATIONAL NUMBER is a number that can be expressed as a ratio of two integers.
You can compare two rational numbers to determine which one is greater, less than or equal.
Which is greater, 𝑜𝑟 ?
Just by looking you can tell that is greater, so <

6. Comparing and Ordering Rational Numbers
What about 𝑎𝑛𝑑 ?
These may be more difficult to determine. We can convert both to decimals and it makes it easier.
3 7 = (this is a non-terminating, repeating decimal. Round to the ten thousandths.)
5 9 =0.555…𝑜𝑟 0. 5
< 0. 5 , so < 5 9