Jeopardy Review: Exponents-Scientific Notation

Exponents

1

Write 4x4x4x4x4x4x4 in exponential form.

4^7

2

Write 3^5 in expanded Form.

3x3x3x3x3

3

Evaluate the expression, (-3)^3

-27

4

Evaluate the expression, (149)^0

1

5

Evaluate the expression, 9^-2

1/81

Laws of Exponents

1

Evaluate: (2²)³

4^3 = 64 or 2⁶ = 64

2

Simplify: (4y)³

64y³

3

Simplify: (x^5)(x^9)

x^14

4

Simplify: (36x^4y^3)/(6xy^2)

6x^3y

5

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

125x^6

Scientific Notation

1

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

No, it should be multiplied, not added.

2

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

3

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

.0095

4

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.

5

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

1

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

2

Solve the expression. Write your answer in scientific notation. (8.45 x 10^-7) - (6.9 x 10^-7)

1.55 x 10^-7

3

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

4

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

5

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

1

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.

2

Nina's work is shown below: (5^4)(5^-3) = 5 Is Nina  correct? Explain.

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

3

Is the following number written in scientific notation?13.79 x 10⁷  True or  if false write the  correct answer  ?  explain ? 

false correct answer1.379 x 10⁸,  

explanation 13.79 is greater than or equal to 10.

4

The mass of Mars is about 6.4 x 10²³ 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 10²⁷

5

Mio  solved the problem shown below: 

(2 x 10⁴)(1.8 x 10⁶) = 3.6 x 10^-2 

Is he correct? Explain.

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