Terminating and Repeating Decimals Lesson 5 Terminating and Repeating Decimals

Warm Up Write as an Improper Fraction: Write as a Mixed Number (Simplest Form): 1) = 3) = 4) 2) = =

To change a fraction to a decimal, divide the numerator by the denominator. Example: = = .625 *Remember: The top number ALWAYS gets “caught” in the division box. Also: when dividing don’t forget your decimal, line up your answer, and add zeros as needed to bring down.

Here is another example and a few to try Here is another example and a few to try. *remember- divide the numerator by the denominator. Example: Now you try a few: (complete all three before moving on to check answers) 1. 2. 3.

A decimal that stops or “terminates” is a terminating decimal If the same block of digits in a decimal repeats without end, the decimal is a repeating decimal Show a repeating block by putting a bar over the repeating digits. = = Example:

3.03003000300003… Is this a repeating decimal???? (.18181818…) = = Try a few: (complete all three before moving on to check answers) (.18181818…) 1) = 2) = (.3333333…) 3) = (.5833333…)

What’s the percentage? To turn a decimal into a percent, move the decimal point two places to the right!!  

Changing a Decimal into a fraction First write the number on the left of the decimal as the whole number. Next, write the decimal amount as a numerator. Then for the denominator write the number 1 and add a zero for each place value to the right of the decimal. Finally: simplify the fraction if necessary. 2.48 Example: = =

Try a few… Change the following decimals into fractions: 1) 4.7 2) *Don’t forget to simplify 1) 4.7 2) 9.75 3) 1.36

Comparing Fractions and Decimals To compare values: First, change ALL to either decimals or fractions. Then, compare and write your list according to directions…least to greatest or greatest to least. Finally, write the list in the original form that it was in the problem.

Here is one to try… Put the following in order from least to greatest 3.23, , 5.75, , 5.015 3.23, , 5.015, , 5.75