Scientific Notation
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Rational Numbers
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100

Express the following in scientific notation: 

0.000006

6 x 10-6

100

Evaluate: 83

512

100

Carson bikes 16 miles in 3 hours.  Determine the unit rate in miles per hour.  Round to the nearest hundredth if necessary.

5.33 miles per hour

100

Evaluate: -9(2)(-1)

18

100

What is 0 divided by 15?

0

200

Convert 700,000,000 into standard form.

700,000,000

200

Evaluate: 7-3

1/343 or 0.002915...

200

Translate into an expression: 10 more than the sum of a number and 6

x + 6 + 10

200

Evaluate: 1/3 + 1/5

8/15

200

Miguel Cabrera averaged 25.30 home runs per year throughout his 20 year career.  With that average how many home runs did he hit in his 20 year career?

506 home runs

300

Evaluate and express in scientific notation:


(3.4 x 106) x (2.6 x 10-3)

8.84 x 103

300

Simplify: (7x3)3

343x9

300

Store A is selling 12 cans of soda for $3.60.  Store B is selling 18 cans of soda for $5.76.  Determine which is the better buy.

Store A ($0.30 per can)

300

Find the mean of the following: 


-7, 8, 9, -2, 4, 6

3

300

True or False: 

The square root of 81 is equal to 91/2

False

400

Evaluate and express in scientific notation: 

(6.7 x 104) + (14.3 x 103)

8.13 x 104

400

Simplify and express in positive exponents: 

x-2y4z3/x4y2

y2z3/x6

400

Mark buys 6 notebooks for $5.40.  Determine the unit rate of cost (y) per notebook (x).  Use this unit rate to write an equation in the form y = kx, relating cost (y) to the number of notebooks (x).

y = 0.90x

400

Evaluate: -2 and 1/3 multiplied by 5/6 

Express in simplest form

-35/18 or -1 and 17/18

400

Calculate the circumference of a circle whose diameter is 70 cm. Please round to the nearest tenth.  Use 3.141 for pi.

 219.9 cm

500

The square mileage of an unknown landmass is 4 x 106 square miles.  The square mileage of a second unknown landmass is 2 x 109 square miles.  Determine how many times larger the second landmass is than the first.  Express in proper scientific notation.  

5 x 102 times larger

500

 If log3 81= x, then x = ?

4

500

How much money would you have if you received a penny on day one, and then doubled it every day after until the end of day 30? (A penny doubled 29 times)

$5,368,709.12

500

Evaluate:  a/a + (-b/b)

0

500

A classroom has 24 desks arranged in four groups of six desks each.  Sally and her friend are the first two to arrive and are each assigned a random seat.  What is the probability they sit at the same group of desks?

5/23

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