1. Center for Teaching and Leadership
FTCE 5-9 Course
Center for Teaching and Leadership

2. Competency 5 Practice
1. Determine if the following statement is true or false and give a short reason why:
Every integer is a rational number.
Talk about Natural numbers, whole numbers, integers, rational numbers and irrational numbers. Draw a diagram to illustrate the relationship between these number systems.

3. Competency 5 Practice
Determine if the following statement is true or false and give a short reason why:
b. Every rational number is an irrational number.
Talk about Natural numbers, whole numbers, integers, rational numbers and irrational numbers. Draw a diagram to illustrate the relationship between these number systems.

4. Competency 5 Practice
Determine if the following statement is true or false and give a short reason why:
c. Every natural number is an integer.
Talk about Natural numbers, whole numbers, integers, rational numbers and irrational numbers. Draw a diagram to illustrate the relationship between these number systems.

5. Competency 5 Practice
Determine if the following statement is true or false and give a short reason why:
d. Every integer is a natural number.
Talk about Natural numbers, whole numbers, integers, rational numbers and irrational numbers. Draw a diagram to illustrate the relationship between these number systems.

6. Competency 5 Practice
2. Consider the following set of numbers: List all the following: a) natural numbers: b) whole numbers: c) integers: d) rational numbers: e) irrational numbers: f) real numbers:
Talk about Natural numbers, whole numbers, integers, rational numbers and irrational numbers. Draw a diagram to illustrate the relationship between these number systems.

7. Competency 5 Practice
3. Convert the following: a. decimal to percent b. fraction to percent c. decimal to fraction 0.55 d. percent to fraction % e. Write in scientific notation

8. Competency 5 Practice
3. Convert the following: f. decimal to fraction g. fraction to percent h. decimal to fraction

9. Competency 5 Practice
4. Evaluate: a. 4.3 x 102 x 2.1 b x x 103

10. Competency 5 Practice
5. Simplify the following expressions: a. 23 b. –(23) c. (-23) d. (-2)3 e. -2-3

11. Competency 5 Practice
Simplify the following expressions: f. g. h. i.

12. Competency 5 Practice
6. Name the prime factors of: a. 200 b. 242

13. Competency 5 Practice
7. Find the LCM and GCF of 3, 6 and 8 a. GCF b. LCM

14. Competency 5 Practice
8. Find the LCM and GCF of 24, 72 and 90 a. GCF b. LCM

15. Competency 5 Practice
9. Evaluate the following: a. b. c. 8 + (2 x 5) x 26 ÷ 9

16. Competency 5 Practice
10. Problem solving: a. An interior designer at the home store charges $12 per square foot to lay a carpet, and an installation fee of $110. If the room is square and each side measures 10 feet, how much will it cost to carpet it?

17. Competency 5 Practice
10. Problem solving: b. David read 25 pages of a book in 35 minutes. At this rate, how long will it take him to read 40 pages?

18. Competency 5 Practice
10. Problem solving: c. Jim found out that after working for 9 months he had earned 6 days vacation time. How many days will he have earned after working three years?

19. Competency 5 Practice
10. Problem solving: d. Lachandra drove from Largo to Tampa at an average rate of 60 mph. On the return trip she drove at an average rate of 40 mph, and made the trip in 50 minutes less time. How far is it from Largo to Tampa?

20. Competency 5 Practice
10. Problem solving: e. Which is the best buy, a dozen items for $3.49 or 6 items at 29¢ each?

21. Competency 5 Practice
10. Problem solving: f. A concert t-shirt was on sale at 40% off. The shirt was marked $ How much was the t-shirt selling for before tax?

22. Competency 5 Practice
11. Estimate: a. Sum of

23. Competency 5 Practice
11. Estimate: b. sum of 1634 and 421

24. Competency 5 Practice
11. Estimate: c. Product of 712 and 97