1
3.6

• Converting Fractions to Decimals and the Order
  of Operations

2
Equivalent Fractions and Decimals
A number can be expressed in two equivalent
forms as a fraction and as a decimal.
Common equivalent fractions and decimals
3
Converting a Fraction to a Decimal
Common equivalent fractions and decimals

• Converting a Fraction to an Equivalent Decimal
• Divide the denominator into the numerator until
• the remainder becomes zero, or
• the remainder repeats itself, or
• the desire number of decimal places is achieved.

4
Terminating and Repeating Decimals
5
Converting a Fraction to a Decimal
Example Write as an equivalent decimal.
0.277
6
Ordering Fractions and Decimals
Example Fill in the blank with one of the
symbols lt, , or gt.
gt
7
Order of Operations

• Order of Operations
• Perform operations inside any parentheses.
• Simplify any expressions with exponents.
• Multiply or divide from left to right.
• Add or subtract from left to right.

Do first
Do last
Example Evaluate 9.6 3.6 (0.4)2.
Exponents
9.6 3.6 0.16
Addition
13.2 0.16
13.04
Subtraction
8
Order of Operations
Example Evaluate (2.4)2 3.6 (1.2 0.7).
(2.4)2 3.6 (1.2 0.7)
Parentheses
(2.4)2 3.6 0.5
Exponents
5.76 3.6 0.5
5.76 7.2
Division
12.96
Addition