Unit 1: Review
Integers, Exponent Laws, and Scientific Notation
1. Evaluate the following expression:
5 (1+2) – 5 =
2. Evaluate the following expression:
|-5| +|2| - 3 =
3. When do I use “keep, change, change?”
4. Fill in the blanks.
When adding integers,
Same sign, __________.
Different sign, __________.
5. Change 4 ½ to a decimal.
6. Change 1.7 into a fraction.
7. The population is decreasing by 10 people each
month. What is the change in the population after 12
months? Show your work.
8. Ms. Logan has 30 students. Every 10 minutes,
parents pick up 2 students. How many students
will Ms. Logan have left by the end of the period?
(Hint: There are 45 minutes in 1 period).
9. What is the value of 42/45 = ?
10. What is the value of (22 x 25 x 2-6)?
Unit 1: Review
11. What is a third of 36?
12. Create an expression that is equal to 1/64.
Use 2 as your base.
13. What is the expression (22)3 equal to? What
exponent law did you use?
14. Evaluate: (22)(2)(25)(20) =
15. What is the value of (43 x 41) ÷ 4-5 =
16. What is half of 24?
17. What is the negative exponent rule? When do you
use it? Provide an example.
18. What is the purpose of scientific notation and
why is it useful?
19. What conditions must the factor have in scientific
notation?
20. Convert to scientific notation: 4,056,000.
21. Convert to scientific notation: 0.0000321
22. The population of Tahiti is (3 x 102). The
population of Palawan is (4 x 104). What is the
difference in population between these two
places?
Unit 1: Review
23. The population of Alabama is (20 x 105). The
population of Montana is (10 x 10-7). How many times
greater is the population of Alabama than Montana?
22. What is the product of (1.5 x 103) and
(6 x 107)?
23. The temperature of the fridge is (1.5 x 10-6). The
temperature inside the center of the fridge is
(6 x 102). How many times greater is the temperature
inside the center of the fridge than the temperature of
the fridge?
24. If one student weighs (9 x 101) and Ms. Logan
has (9 x 104) students, what is the total weight of
all the students?
25. Find the sum of (4.5 x 102) and (4.5 x 104).
26. Change 22.56 into scientific notation.
27. What is the difference of (1 x 106) – (2 x 105)?
28. What is the difference of
(6 x 104) – (2 x 104)?
Unit 1: Review
If7-2israisedtothepowerof3,whichof
thefollowingdescribestheresult?
WhichexpressionisNOTequalto125?
a.
a. Anumberlessthan-7
b. Anumberbetween-1and0
b.
c. Anumberbetween0and1
c.
d. Anumbergreaterthan1
Whichexpressionsareequivalentto¼?Circleallthatapply.
a.
b.
c.
d.
e.
WhichofthefollowingisNOTequivalenttotheexpression?
d.
A) C)
B)
D)