Jeopardy Review: Exponents-Scientific Notation

Exponents

100

Write 4x4x4x4x4x4x4 in exponential form.

4^7

200

Simplify 5³ * 5⁸

5¹¹

300

Simplify using only positive exponents

7^-4

1/7^4

400

Evaluate the expression, (149)^0

1

500

Evaluate the expression, 9^-2

TWO CORRECT ANSWERS

1/81 AND 

1/9^2

Laws of Exponents

100

Evaluate:

(9^3)^4

9¹²

200

Simplify: (4y)^3

64y^3

300

Simplify:  

4^6 + 4^5

NOT POSSIBLE

400

Simplify:

5^3*4^3

20³

500

FILL IN THE QUESTION MARKS TO CREATE A TRUE STATEMENT

2^3/2^?=2^?

ANSWERS VARY

Scientific Notation

100

Is the following expression written in scientific notation? If not, explain why. 3.25 + 10⁵

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 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

WHICH IS A SMALLER NUMBER?  3*10^-3  OR 3 *10^-4

EXPLAIN

3*10^-4

Operations w/ Scientific Notation

100

Solve the expression. Write your answer in scientific notation. (2 x 10⁹) * (3 x 10³)

6 * 10¹²

200

sOLVE

(6*10^7)/(3*10^3)

2*10^4

300

SOLVE. WRITE YOUR FINAL ANSWER IN SCIENTIFIC NOTATION

(7*10^7)*(8*10^3)

5.6 * 10^11

400

sOLVE - WRITE YOUR FINAL ANSWER IN SCIENTIFIC NOTATION

(4*10^4)/(2*10^-3)

2*10^7

500

SOLVE - WRITE YOUR FINAL ANSWER IN SCIENTIFIC NOTATION

(4*10^4)/(8*10^-2)

5*10^5

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...

300

Simplify 

4^-3*4^10

4^7

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.