Fractions
Scientific Notation
Square roots & Cube roots
Integer Exponents/Irrational Numbers
100

How would you write 0.5 as a fraction?

5/9

100

What is the sqrt(225)? 

15

100

Is 1.234344567... rational or irrational number?

Irrational number

200

What is the equivalent fraction of the following:

a)  2-2

b)  2-3

a) 1/4

b) 1/8

200

What is the value of n in the equation:

 4.3 × 108 = (1 × 105)(4.3 × 10n)?

n = 3

200

Shantal wants to build a fence around her square garden. Her garden has an area of 144 square feet. How much fencing will Shantal need?

48 feet

200

Simplify: 23 x 73

143

300

What is the equivalent fraction of the following:

a) 60

b)  5-2

c)  2-3

a) 1

b) 1/25

c) 1/8

300

(6.3 x 10-5)/(9 x 10-3)


7 x 10-3

300

A cube-shaped kennel is replaced by a larger kennel. The volume of the original kennel was 64 cubic feet. The volume of the new kennel is 125 cubic feet. How many feet were added to each edge length of the kennel?

1 foot

300

Which of the following numbers is/are irrational?

a) 3.4325234...

b) 12/5

c) -1.12

d) sqrt(3) 

e) 3/4

a, d

400

Which of the following is equivalent to a whole number?

a) 12/4

b) 4/0

c) 0/8

d) -15/3

a,c

400

A chip is 12 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scientific notation.

1.2 x 10-8

400

Can square pieces of foam board, each with an area of 121 square inches, be cut and used to construct a cube with a volume of 729 cubic inches? Why or why not?

Yes. The side length of the board is greater than the side of the cube.

400

Simplify: 73 x (3-4)-3 x 76

312 x 79

500

There are approximately 330,000,000 cubic miles of water on earth. A cubic mile is approximately 147, 200,000,000 cubic feet. How much water is on earth? Estimate using scientific notation.

5 x 1019 ft3

500

Simplify: 320 x (73)3 x (34)-2

312 x 79

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