Page 266 - Basic College Mathematics with Early Integers

3.7 OPERATIONS ON MIXED NUMBERS Objectives

Graph Positive and Negative
Fractions and Mixed Numbers.
Objective Graphing Fractions and Mixed Numbers
Multiply or Divide Mixed or
Let’s review graphing fractions and practice graphing mixed numbers on a number line.
Whole Numbers.
This will help us visualize rounding and estimating operations with mixed numbers.
Add or Subtract Mixed Numbers.
2 2
Recall that 5 means 5 + and
3 3 Solve Problems Containing Mixed
1 1 1 Numbers.
-4 means -4 - or -4 + a- b
6 6 6
Perform Operations on Negative
Mixed Numbers.

Example 1 Graph the numbers on a number line: PRACTICE 1
Graph the numbers on a
1 3 2 1 number line.
, - , 2 , -3, -3
2 4 3 8 1 3 1 1
-5, -4 , 2 , , -
2 2 2 4 8 2
Solution: Remember that 2 means 2 + .
3 3
5 4 3 2 1 0 1 2 3 4 5
1 1 1
Also, -3 means -3 - , so -3 lies to the left of -3 .
8 8 8
3Ω 3 ! q 2s

5 4 3 2 1 0 1 2 3 4 5
Work Practice 1

Concept Check Which of the following are equivalent to 9?
6 4 9 18
a. 7 b. 8 c. 8 d. e. all of these
3 4 9 2

Objective Multiplying or Dividing with Mixed Numbers
or Whole Numbers

When multiplying or dividing a fraction and a mixed or a whole number, remember
that mixed and whole numbers can be written as improper fractions.

Multiplying or Dividing Fractions and Mixed Numbers
or Whole Numbers
To multiply or divide with mixed numbers or whole numbers, first write any
mixed or whole numbers as improper fractions and then multiply or divide as
usual. Answer
1.
4q q Ω 2!
(Note: If an exercise contains a mixed number, we will write the answer as a mixed 5 4 3 2 1 0 1 2 3 4 5
number, if possible.)
Concept Check Answer
e
243