Lesson 30 Repeating Decimals Fractions and Decimals Mr

Lesson 30 Repeating Decimals Fractions and Decimals Mr. K’s Math

Lets Review Write as an Improper Fraction: Write as a Mixed Number (Simplest Form): 1) = 3) = 2) = 4) = *Remember: (TX) Whole number: # of times denominator Numerator = bottom X times whole + add top goes into numerator. Denominator stays the same Numerator = the remainder after dividing Denominator stays the same

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. *remember- divide the numerator by the denominator. Example: Now you try a few: 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: = =

Is this a repeating decimal? ? 3. 0300300003… Try a few: 1) = (. 3333333…) 2) = (. 2727272…) 3) = (. 5833333…)

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. Example: 2. 48 = =

Try a few… Change the following decimals into fractions: *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, 3. 23, , 5. 015 , 5. 75