Fractions, Decimals, and Order of Operations

1
Fractions, Decimals, and Order of Operations
Section 5.5
2
To write a fraction as a decimal, divide the
numerator by the denominator.
Writing Fractions as Decimals
Martin-Gay, Prealgebra, 5ed
3
To compare decimals and fractions, write the
fraction as an equivalent decimal.
Comparing Fractions and Decimals
Therefore, 0.125 lt 0.25
Martin-Gay, Prealgebra, 5ed
4
Order of Operations
1. Do all operations within grouping symbols such
as parentheses or brackets. 2. Evaluate any
expressions with exponents. 3. Multiply or divide
in order from left to right. 4. Add or subtract
in order from left to right.
Martin-Gay, Prealgebra, 5ed
5
Using the Order of Operations
Simplify ( 2.3)2 4.1(2.2 3.1)
( 2.3)2 4.1(2.2 3.1) ( 2.3)2
4.1(5.3)
Simplify inside parentheses.
5.29 4.1(5.3)
Write ( 2.3)2 as 5.29.
5.29 21.73
Multiply.
27.02
Add.
Martin-Gay, Prealgebra, 5ed
6
Finding the Area of a Triangle
height
base
Martin-Gay, Prealgebra, 5ed