PreAlg Unit 1 Exponents, Squares, Roots, and Scientific Notation

Exponents

100

(-2)^4(-6)^3

-3,456

200

(3/10)^3(20)^2

54/5 or 10 4/5

300

a^0b^-3c^-1

1/(b^3c)

400

8^-2 6^3

27/8 or 3 3/8

500

5^-2 x^8 y^-1 z^0

x^8/(5^2 y^1)

Squares

100

Which is not a perfect square?

a) 81

b) 125

c) 169

d) 289

b) 125

200

16²

256

300

(1/9)^2

1/81

400

(7/12)^2

49/144

500

Which are the perfect squares?

36, 54, 64, 154, 441, 483

36, 64, 441

Roots

100

sqrt(4/18)

2/9

200

Evaluate. Round to the nearest tenth if necessary. 

- sqrt90

≈ -9.5

300

Identify the two consecutive integers in which each square root lies between.

-sqrt195

-13, -14

400

root3(-2744

-14

500

Evaluate.

sqrt49-root(3)729

-2

Scientific Notation

100

Write the value in scientific notation.

5, 028

5.028 × 10^3

200

Write each value in standard form.

2.16 × 10^-7

0.000000216

300

Write the value in scientific notation.

0.097

9.7 × 10^-2

400

Write the value in standard form.

3.42 × 10^5

342,000

500

Kristy's yearly salary is $75,000. Write this number in scientific notation.

7.5 × 10^4

Miscellaneous

100

abs(-13+2)

11

200

Convert the fraction 

37/50

into a decimal and percent.

0.74 and 74%

300

-1 3/4+1 1/6

-7/12

400

1 1/2 ➗ 8

3/16

500

Compare and order each value from greatest to least.

sqrt10, 1/3 ,3%, 2^-2, 3.4 × 10^-2, 2/5

sqrt10 , 2/5, 1/3, 2^-2, 3.4 × 10^-2, 3%