Show:
Rational or Irrational; if rational turn into a fraction
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
100

4/5

Rational-It is a fraction

100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
100
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10^-7
No, it should be multiplied, not added.
100
Solve the expression. Write your answer in scientific notation. (3.7 x 10^9) + (9.04 x 10^9)
12.74 x 10^9 = 1.274 x 10^10
100

Order the numbers from least to greatest:

-9/4,-4,3.7,1/2,Square root of 5

-4,-9/4,1/2,square root of 5, 3.7

200

Square root of 22

Irrational-Not a perfect square

200
Simplify: (4y)^3
64y^3
200
The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.
1.9 x 10^27
200
Solve the expression. Write your answer in scientific notation. (8.45 x 10^-7) - (6.9 x 10^-7)
1.55 x 10^-7
200

Evaluate x2=64

8, -8

300

.25

Rational-Terminating Decimal

1/4

300
Simplify: (x^5)(x^9)
x^14
300
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
.0095
300
The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10^8 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
1.49 x 10^8
300

Evaluate x3=-125

-5

400

.6 repeating

Rational-Repeating Decimal

2/3

400
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
400
The size of the Sahara desert is about 3.629 x 10^6 square miles and the Arabian desert is about 9 x 10^5 square miles. Which desert is larger? Explain how you know.
Sahara, because the exponent is bigger.
400
Humpback whales are known to weigh as much as 8 x 10^4 pounds. The tiny krill they eat weigh only 2.1875 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 10^7
400

If a square has an area of 100 square centimeters, what is the perimeter of the square?

40 centimeters

500

.34525646...

Irrational-Decimal that does not repeat or terminate.

500
Simplify: (5x^2)^3/(7y^9)^0
125x^6
500
The size of the four oceans, in square km, is shown below. List the oceans from smallest to largest. Pacific Ocean - 1.7965 x 10^8, Arctic Ocean - 1.323 x 10^7, Atlantic Ocean - 1.061 x 10^8, Indian Ocean - 7.49 x 10^7
Arctic, Indian, Atlantic, Pacific
500
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Second = 2.796 x 10^10 Per Hour = 1.6776 x 10^12
500

If a cube has a volume of 729 cubic units, what is the edge length of the cube?

9 units