Math 8 End of Semester Final - Unit 2 Name: Per: 1. a. What exponent goes in the box to make the statement true?

b. Fill in the boxes to create an exponential expression that results in a product of 6!".
c. Evaluate each expression. Then explain your results in your own words or using patterns. 202# = Explanation:
3$% = Explanation:
d. Ling is finding the volume of a cube with an edge length of 5ab3. Her work is shown below.

Circle the 2 errors in Ling’s work. Explain each error. What is the correct volume for the cube?
Part A:
Step 1 � = (5��&)&
Step 2 � = (5��&)(5��&)(5��&) Step 3 � = 15�&�'

e. The table below gives the diameters of Jupiter and Mars. Finish filling out the table by converting forms.
Planet
Diameter (km) in
Scientific Notation
Diameter (km) in
Standard Form
Jupiter
1.4 × 10"

Mars

6,800

Which planet is larger?
How did you use scientific notation to determine your answer?
How many times bigger? Show all work and calculations in scientific notation. Express your final answer in standard form rounded to the nearest whole number.

2. a. Identify each decimal below as rational or irrational. If it can be written as a fraction, write it in its fraction form. If it can’t be written as a fraction, explain why not.

Rational or Irrational?
Fraction Form/Explanation (Show your work!)
0. 30

0.38

3.14159 …

0. 045000

√16

b. Without a calculator, write the decimal approximation of each real number (if not already in decimal form). Show your work!
√5
−1.5
1.4
−√3
13
9
− 34

c. Plot and label each value in its exact form on the number line below.