1. Dividing Decimals and Order of Operations
Chapter 4 Section 5

2. Section Objectives Dividing Decimals Estimating When Dividing Decimals
Dividing Decimals by Powers of 10
Solving Problems by Dividing Decimals
Simplifying Expressions with Decimals
Section 5 Objectives

3. Dividing by a Whole Number
Dividing Decimals
Dividing by a Whole Number
Example
Step 1: Place the decimal point in the quotient directly above the decimal point in the dividend.
Step 2: Divide as with whole numbers.
Objective A

4. Dividing Decimals Dividing by a Decimal Example
Step 1: Move the decimal point in the divisor to the right until the divisor is a whole number.
Step 2: Move the decimal point in the dividend to the right the same number of places as the decimal point was moved in step 1.
Step 3: Divide. Place the decimal point in the quotient directly over the moved decimal point in the dividend
Objective A Continued

5. Estimating When Dividing Decimals
EXAMPLE
Divide:
SOLUTION
Exact
Estimate
Objective B
Since is close to our estimate of 0.05, the answer is reasonable.

6. Dividing Decimals by Powers of 10
Type
Example
Dividing Decimals by Powers of 10 such as 10, 100, : Move the decimal point to the left the same number of places as there are zeros in the power of 10.
Objective C

7. Solving Problems by Dividing Decimals
EXAMPLE
Dorren Schmidt pays $73.86 per month to pay back a loan of $ In how many months will the loan be paid off?
SOLUTION
Objective D
Dorrin Schmidt will have his loan paid off in 24 months.

8. Simplifying Expressions with Decimals
Order of Operations
1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as fraction bars or square roots.
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.
EXAMPLE
Simplify 1.4(2-1.8).
Objective E
SOLUTION

9. Fractions and Decimals
Chapter 4 Section 6

10. Section Objectives Writing Fractions as Decimals
Comparing Decimals and Fractions
Solving Area Problems Containing Fractions and Decimals
Section 6 Objectives

11. Writing Fractions as Decimals
EXAMPLE
Write as a decimal.
SOLUTION
Objective A
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #38

12. Comparing Decimals and Fractions
Original numbers
Decimals
Compare
Objective B
Thus,

13. Solving Area Problems Containing Fractions and Decimals
EXAMPLE
The area of a triangle is
Find the area of the following triangle.
4.4 feet
17 feet
SOLUTION
Objective C
Write as .5.