# Converting Fractions to Decimals and the
Order of Operations

**Vocabulary**

**1. Terminating Decimals** – Every fraction can be written as a decimal. If
the

division process of dividing denominator into numerator ends with a

remainder of zero, the decimal is a terminating decimal. Decimals such as

1.28, 0.007856, and 5.123 are terminating decimals.

**2. Repeating Decimals **– Decimals that have a digit or a group of digits
that

repeat. The decimals 0.3333333333… and 1.234234234234… are repeating

decimals. The pattern of repeating continues forever. Repeating decimals

can be written in the form with a bar over the repeating digit(s). Thus the

preceding decimals could be written as .

**Converting a Fraction to an Equivalent Decimal**

Divide the denominator into the numerator until

a. The remainder becomes zero, or

b. The remainder repeats itself, or

c. The desired number of decimal places is achieved.

**Write as an Equivalent Decimal**

If a repeating decimal is obtained, use notation such as

**Write as an Equivalent Decimal or Decimal Approximation**

Round your answer to the nearest thousandth if needed.

**Using the Order of Operations with Decimals (PEMDAS)**

**Applications**

1. A master carpenter is re-creating a room for the set of a movie being filmed.

He is using a burled maple veneer 7/16 inch thick. The designer specified

maple veneer 0.45 inch thick. Is the veneer he is using too thick or too thin?

By how much?

**3.6 Homework**

Pages 249–251 #1, 9, 21, 23, 31, 41, 47, 51, 55, 59, 63, 69