Standard, Expanded and Scientific notation
Magnitude
Order from least to greatest
Evaluate/Express in Scientific Notation
Simplify/Solving
100

Express the following as a power of ten: 10^8 x 10^2

What is 10^10

100

What is the order of magnitude of 319,480,000?

What is 8

100

Order the following from least to greatest. 


3.0 x 10^4   6.0 x 10^5    7.0 x 10^11    8.0 x 10^-8

What is 8.0x10^-8, 3.0x10^4, 6.0x10^5, 7.0x10^11

100

The point on a pin has a diameter of about 1 x 10^-4 meters. If an atom has a diameter of 2 x 10^-8 meters, about how many atoms could fit across the diameter of the point of a pin?


 a. 50,000     c. 5,000       b. 20,000      d. 500

What is C

100

Which is equivalent to (85d^7 ÷ 5d^4 )^2 ? 


a. 17d^22           b. 289d^6           c. 17d ^5 

    d. 34d^5                          e. 289d^ 5

What is B

200

Each year 65,000,000,000 aluminum soda cans are used each year. What is this number correctly written in scientific notation?

What is 6.5 x 10^10

200

What is the order of magnitude of .000784?

What is -4

200

Order the following from least to greatest. 

4.7 x 10^11           5.8 x 10^7           2.1 x 10^-5           

 3.3 x 10^-7

What is 3.3x10^-7,    2.1x10^-5,     5.8x10^7, 4.7x10^11

200

(3.0 x 10^7 )(3.0 x 10^6 ) =

What is 9X10^13

200

Which of the following is equivalent to 6^3 ?

 a. 18    b. 36    c. 9^2    d. 72     e. 216

What is E

300

Select all of the following powers of 10 that are correctly written in standard form. 

a. 10^8 = 100,000,000         b. 10^6 = 100,000 

c. 10^6 = 1,000,000            d. 10^2 = 100

What is a,c,d

300

What is the order of magnitude of .0000004732?

What is -7

300

Which is greater?

8.19 x 10^6                        7.3 x 10^9

What is 7.3x10^9

300

(5.4 x 10^-7 ) - (4.1 x 10^-7 ) =

What is 1.3x10^-7

300

Which of the following is equivalent to 2^ −5 ? 


a. -25      b. -10     c. 1/2^ 5     d. 1/25      e. −1/2^ 5

What is  C

400

Every hour 5.4 x 10^6 aluminum cans are recycled in the U.S. What is 5.4 x 10^6 in standard form?

What is 5,400,000

400

J = 24,556,000,053.  

K= 23.256489213

Find the smallest power of 10 that will exceed J.

Find the smallest power of 10 that will exceed K

What is J=11 and K=2

400

Which is greater


 8.9 x 10^-8              8.0 x 10^-6

What is 8.0x10^-6

400

(9.3 x 10^11 )÷(3.0 x 10^6 ) =

What is 3.1x10^11

400

Which is equivalent to (2x4 ) 2 (13x5y) 


a. 26x^11 y      b. 26x^13  y      c. 52x^11 y            d. 52x^13 y         e. None of these are correct

What is B

500

The weight of a paper clip is 0.0005 kilograms. What is this number correctly written in scientific notation?

What is 5 x 10^4

500

Each day the United States throws away enough trash to fill 63 thousand garbage trucks. 

• Express 63 thousand in scientific notation.

• How many garbage trucks will that be in one year? Express your answer in scientific notation.

63 thousand = 6.3 x 10^4 

365(6.3 x 10^4) = 2.2995 x 10^7 garbage trucks per year

500

Select all of the following that are greater than

 7.21 x 10^-2 . 


a. 2.4 x 10^9             b. 0.0045      c. 8.2 x 10^-5 

  d. 4.0 x 10^5         e. 1.0 x 10^8

What is A,D,E

500

(3.2 x 10^9 ) + (4.7 x 10^7 ) =

What is 3.247x10^9

500

Simplify ( (2𝑎 3𝑏^4 )(6𝑎 4𝑏^−2 ) /13^0 )^ 3

What is 1728 a^21 b^6

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