Jeopardy Review: Exponents-Scientific Notation

Negative Exponents

100

Evaluate:  3⁻² 

1/9

200

-3x⁻³

-3/x^3

300

Evaluate the expression, (-3)^3

-27

400

(2/3)⁻¹

3/2

500

Evaluate the expression, 9^-2

1/81

Negative Exponents II

100

Rewrite as a positive exponent: (1/16)^-4

16^4

200

Evaluate:  7^-1/7^-2

7

300

Rewrite as a positive exponent: -3x⁻¹(x⁴)

-3x³

400

Rewrite as a positive exponent: x⁰(x⁶)(x⁻⁴)

x²

500

Simplify: (5x^2)^3/(7y^9)^0

125x^6

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 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

Scientific Notation II

100

The distance from Earth to the Sun is approximately 93 million miles. A scientist would write that number as:

9.3 X 10^7

200

The size of a certain type of molecule is 0.00009078 inch. If this number is expressed as 9.078 X 10^n , what is the value of n?

-5

300

The video of the movie Star Wars earned $193,500,000 in rental fees during its first year. Expressed in scientific notation, the number of dollars earned is:

1.935 X 10^8

400

The number 8.375 X 10^3 is equivalent to

0.008375  

500

Which expression is equivalent to 6.02 X 10^23?

602 X 10^21

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: (5^4)(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

Expressed in scientific notation, the number 4,600,000,000 is

4.6 X 10^9

500

If 6.54 X 10^n = 65,400, what is the value of n?

4