1. Multiplication and Division of Rational Numbers

2. a. In the space below, create a word problem that involves integer multiplication. Write an equation to model the situation.
b. Now change the word problem by replacing the integers with non-integer rational numbers (fractions or decimals), and write the new equation.
c. Was the process used to solve the second problem different from the process used to solve the first? Explain.
d. The Rules for Multiplying Rational Numbers are the same as the Rules for Multiplying Integers:
1. ________________________________________________________________________________
2. ________________________________________________________________________________
3. ________________________________________________________________________________

3. a. In one year, Melinda’s parents spend $2,640
a. In one year, Melinda’s parents spend $2, on cable and internet service. If they spend the same amount each month, what is the resulting monthly change in the family’s income?
b. The Rules for Dividing Rational Numbers are the same as the Rules for Dividing Integers:
1 ._______________________________________________________________
2. _______________________________________________________________
3. _______________________________________________________________

4. Reviewing Multiplication of Fractions
We love multiplying fractions because it is the easiest operation to perform. You simply multiply straight across You will apply the rules for multiplying integers to the multiplication of fractions

5. Visually 3 8 3 4 · 1 2 Start with one half, keep three fourths of it
3 4 · 1 2
Start with one half, keep three fourths of it
There are 8 pieces total, and you are keeping 3 of them.
3 8

6. −7 8 · 3 4

7. −2 5 ·

8. −3 7 · −6 19

9. Division of Fractions
Remember that division can be represented as multiplication of the reciprocal.
You will change division into multiplication

10. −7 8 ÷ 3 4

11. −2 5 ÷

12. −3 7 ÷ −6 19

13. Decimal Expansions
Multiply or divide as normal, and extend the rules for integer multiplication and division.

14. -7.4 x 3.2

15. -8.73 x -4.26

16. 16.45 ÷ -3.2

17. ÷ -3.81