Jeopardy Review: Exponents-Scientific Notation

Exponents

100

Evaluate the expression, 9^-2

1/81

200

3³ x 3

3⁴

300

Evaluate the expression, (3^-6) (3^-5)

3^-11

400

Evaluate the expression, (149)^0

1

500

Evaluate the expression, (m⁵t⁴a²)(m^-1a³t⁴)

(t⁸a⁵)/m⁴

Laws of Exponents

100

Evaluate: (2²)³ (In Numerical Form)

2⁶ = 64

200

Simplify: (4y)³

64y³

300

Simplify: (x⁵)(x-⁹)(y^-3)(y^-7)

x^-4y^-10

400

Simplify: (5x²)³/(5y⁹)

25x6/y⁹

500

Simplify: (3x)³(3xy)(xy)

81x⁵y²

Scientific Notation

100

Is the following expression written in scientific notation? If not, explain why. (3.25 + 10^-7)

No, it should be multiplied, not added.

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

300

(2.0 X 10⁴)(3.0 X 10⁸)

6.0 X 10¹²

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.

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

Operations w/ Scientific Notation

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

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

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 10⁸

400

Humpback whales are known to weigh as much as 8 x 10⁴ pounds. The tiny krill they eat weigh only 2 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales?

4 x 10⁷

500

A computer can perform 4.66 x 10⁸ instructions per second. How many instructions is that per minute? Write your answers in scientific notation.

Per Second = 2.796 x 10¹⁰

Miscellaneous

100

Is -2^8 the same answer as (-2)^8? Explain.

No, without parentheses () the answer will be negative, with them the answer will be positive.

200

Shelly's work is shown below: (5⁴)(5^-3) = 5 Is Shelly correct? Explain.

Yes, 4+-3 = 1. 5^1=5

300

Is the following number written in scientific notation? Why or why not? 13.79 x 10^7

No, 13.79 is greater than or equal to 10.

400

The mass of Mars is about 6.4 x 10^23 kg. It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?

1.9008 x 10^27

500

Jahliek solved the problem shown below: (2 x 10^4)(1.8 x 10^6) = 3.6 x 10^-2 Is he correct? Explain.

No. He was supposed to add the exponents, not subtract.