Jeopardy Review: Exponents-Scientific Notation

Exponents

100

Write 4x4x4x4x4x4x4 in exponential form.

4⁷

200

Write 3⁵ in expanded form.

3x3x3x3x3

300

Evaluate the expression, (-3)³

-27

400

Evaluate the expression, (149)⁰

1

500

Evaluate the expression, 9^-2

1/81

Laws of Exponents

100

Evaluate: (2²)³

4³ = 64 or 2⁶ = 64

200

Simplify: (4y)³

64y³ or 4³y³

300

Simplify: (x⁵)(x⁹)

x¹⁴

400

Simplify: (36x⁴y³)/(6xy²)

6x³y

500

Simplify: (5x²)³/(7y⁹)⁰

125x⁶

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 10²⁷

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 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 10^8

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

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

Miscellaneous

100

Is -2⁸ 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. 5¹=5

300

Is the following number written in scientific notation? Why or why not? 13.79 x 10⁷

No, 13.79 is greater than or equal to 10.

400

The mass of Mars is about 6.4 x 10²³ kg. Planet Z was found with a mass of 2.5 x 10³¹. Which planet is bigger, Mars or Planet Z? Explain.

Planet Z because the power of 10 is greater meaning it is bigger.

500

Jahliek solved the problem shown below:(1.8 x 10⁶) = 18000000 . Is he correct? Explain.

No. He was supposed to move the decimal 6 spaces to the right to change the place value.