Jeopardy Review: Exponents-Scientific Notation

Classifying Numbers

100

What type(s) of number is -1/4?

Rational

200

What type(s) of number is √ 2

irrational

300

What type(s) of number is -4?

integer, rational number

400

What type(s) of number is 0?

Rational, Integer, Whole

500

What type(s) of number is 3?

Counting/Natural, Whole, Integer, Rational

Laws of Exponents

100

Evaluate: (2²)³

4^3 = 64 or 2^6 = 64

200

Simplify: 6²⁵/6²³

6²

300

Simplify: (x⁵)(x⁹)

x¹⁴

400

Simplify: (4^-2)³

1/4⁶

500

Simplify: (4/7)^-2

7²/4²

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

The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.

.0095

400

The size of the Sahara desert is about 3.629 x 10⁶ square miles and the Arabian desert is about 9 x 10⁵ 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 10⁸, Arctic Ocean: 1.323 x 10⁷, Atlantic Ocean: 1.061 x 10⁸, Indian Ocean: 7.49 x 10⁷

Arctic, Indian, Atlantic, Pacific

Operations w/ Scientific Notation

100

Solve the expression. Write your answer in scientific notation. (3.7 x 10⁹) / (9.04 x 10⁷)

4.09 * 10

200

Solve the expression. Write your answer in scientific notation. (8.45 x 10⁸) * (6.9 x 10^-6)

5.8305 * 10³

300

The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10⁸ km2 and the approximate total surface area of water is 361,000,000 km2. Approximately how many times bigger is the total surface area to the surface area of the water?

1.41*10⁰ or 1.41

400

Humpback whales are known to weigh as much as 8 x 10⁴ 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 10⁷

500

A computer can perform 4.66 * 10⁸ instructions per minute. How many instructions is that per second? 

Per Second = 2.796 x 10¹⁰

Perfect Square/Square Roots

100

What is the √ 25?

5

200

Is 144 a perfect square?

Yes, 12² = 144

300

What is √ 49?

7

400

What is √ 225?

15

500

What is √ 2? Is √ 2 a perfect square?

√2 is not a perfect square, 1.47..........