1. 4
Chapter
Chapter 2
Decimals

2. Fractions, Decimals, and Order of Operations
Section
4.5
Fractions, Decimals, and Order of Operations

3. Write Fractions as Decimals.
Objective A
Write Fractions as Decimals.

4. Chapter 1 / Whole Numbers and Introduction to Algebra
Writing Fractions as Decimals
To write a fraction as a decimal, divide the numerator by the denominator.

5. Example
Write as a decimal.

6. Example
Write as a decimal.

7. Example
Write as a decimal.

8. Example
Write as a decimal.

9. Example
Write as a decimal.

10. Compare Decimals and Fractions.
Objective B
Compare Decimals and Fractions.

11. Chapter 1 / Whole Numbers and Introduction to Algebra
Comparing Fractions and Decimals
To compare decimals and fractions, write the fraction as an equivalent decimal.
Compare and
Therefore, < 0.25

12. Example
Insert <, >, or = to form a true statement. Write ½ as a decimal and then compare

13. Example
Insert <, >, or = to form a true statement. Write 5/9 as a decimal and then compare.

14. Example
Write the numbers in order from smallest to largest. Write each number as a decimal.
2nd
1st
3rd

15. Objective C
Simplify Expressions Containing Decimals and Fractions Using Order of Operations.

16. Chapter 1 / Whole Numbers and Introduction to Algebra
Order of Operations
1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as fraction bars
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.

17. Example
Simplify: Multiply or divide in order from left to right.

18. Example
Simplify: Simplify inside the parentheses first.

19. Using the Order of Operations
Simplify ( –2.3) ( )
= ( –2.3) (5.3)
Simplify inside parentheses.
= (5.3)
Write ( –2.3)2 as 5.29.
Objective D Continued =
Multiply.
= 27.02
Add.

20. Example
Simplify: Simplify the numerator of the fraction and then divide.

21. Solve Area Problems Containing Fractions and Decimals.
Objective D
Solve Area Problems Containing Fractions and Decimals.

22. Example
The area of a triangle is Find the area of the triangle shown.

23. Evaluate Expressions Given Decimal Replacement Values.
Objective E
Evaluate Expressions Given Decimal Replacement Values.

24. Example
Evaluate 1.7y – 2 for y = 2.3. Replace y with 2.3 in the expression and simplify. 1.7y – 2 = 1.7(2.3) – 2 = 3.91 – 2 = 1.91