Exponent & Scientific Notation Review

Exponent Laws

100

Simplify: 10³  x 10⁵

10⁸

200

Simplify:  (-3mp²)(2mp³)

-6m²p⁵

300

4b⁴/8b³

1/2b

400

20a⁹b⁴/-4a³b⁷

-5a⁶/b³

500

(-2rt⁴)²/4r⁵t

t⁷/r³

Estimating Sq & Cube Roots

100

Between what two integers is

sqrt20

4 - 5

200

What is the cube root of 64?  

4

300

What two numbers are the square root of 100?

10 and -10

400

Estimate 

sqrt40

6.3 or 6.4

500

Simplify 

sqrt16 x sqrt4

8

Rational/Irrational Numbers

100

What is the most famous irrational number?

pi

200

Is 

sqrt2 rational or irrational

Irrational

300

Is 

sqrt 36 rational or irrational

Rational

400

Is 

sqrt 2 x 4 rational or irrational

irrational

500

Is 4/7 rational or irrational?

Rational 

Scientific Notation

100

Write 1,205,000,000 in scientific notation

1.205 x 10⁹

200

Write 0.000251 in scientific notation

2.51 x 10^-4

300

Write 4.08 x 10^-6 in standard form

.00000408

400

Write 2.907 x 10¹² in standard form

2,907,000,000,000

500

Write 492 x 10⁶ in scientific notation

4.92 x 10⁸

Mult/Dividing SN

100

(2 x 10^-2)(8 x 10⁵)

1.6 x 10⁴

200

6.4 x 10¹⁴/8 x 10^-8

8 x 10²¹

300

Write in scientific notation: 

(500,000)(4.2x10⁸)

2.1 x 10¹⁴

400

The average American household spends about $40,000 each year.  If there are about 1.2x10⁸ households, what is the total amount of money spent by American households in one year?

4.8 x 10¹²

500

 In 2018, Americans generated 2.6x10⁸ tons of garbage.  There are 2,000 landfills in the United States.  Assuming that each landfill is the same size and that the trash is divided equally among them, determine how many tons of garbage were sent to each landfill in 2018.

1.3 x 10⁵