FTCE 5-9 Course

Center for Teaching and Leadership

Competency 5 Practice

1. Determine if the following statement is true or false and give a short reason why:

a. Every integer is a rational number.

Competency 5 Practice

1. Determine if the following statement is true or false and give a short reason why:

b. Every rational number is an irrational number.

Competency 5 Practice

1. Determine if the following statement is true or false and give a short reason why:

c. Every natural number is an integer.

Competency 5 Practice

1. Determine if the following statement is true or false and give a short reason why:

d. Every integer is a natural number.

Competency 5 Practice2. 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:

€

− 64,.375,+1,−0.2,−7,22.1,3π,0, 2,−.3,( )

Competency 5 Practice

3. Convert the following:a. decimal to percent 0 .625b. fraction to percent c. decimal to fraction 0.55d. percent to fraction %e. Write in scientific notation 0.000612

€

3

8

€

162

3

Competency 5 Practice

3. Convert the following:f. decimal to fraction g. fraction to percent h. decimal to fraction

€

3

11

€

0.35

€

0.24

Competency 5 Practice

4. Evaluate:a. 4.3 x 102 x 2.1

b. 0.31 x 10-2 + 1.2 x 103

Competency 5 Practice

5. Simplify the following expressions:a. 23

b. –(23)

c. (-23)

d. (-2)3

e. -2-3

Competency 5 Practice

5. Simplify the following expressions:f.

g.

h.

i.

€

33 • 23 • 42

24 • 32

€

64 + 38 − 32

€

3

2 − 3

€

823

Competency 5 Practice

6. Name the prime factors of:a. 200

b. 242

Competency 5 Practice

7. Find the LCM and GCF of 3, 6 and 8a. GCF

b. LCM

Competency 5 Practice

8. Find the LCM and GCF of 24, 72 and 90a. GCF

b. LCM

Competency 5 Practice

9. Evaluate the following:a.

b.

c. 8 + (2 x 5) x 26 ÷ 9

€

15 + 42 + 6 − 3( )2

€

289 − 23 • 4( )

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?

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?

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?

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?

Competency 5 Practice

10. Problem solving:e. Which is the best buy, a dozen items for

$3.49 or 6 items at 29¢ each?

Competency 5 Practice

10. Problem solving:f. A concert t-shirt was on sale at 40% off.

The shirt was marked $36.00. How much was the t-shirt selling for before tax?

Competency 5 Practice

11. Estimate:a. Sum of 2942 + 7182 + 812

Competency 5 Practice

11. Estimate:b. sum of 1634 and 421

Competency 5 Practice

11. Estimate:c. Product of 712 and 97