2.1 to 2.5 Review

Rational numbers as decimals

100

Write 0.55555...    as a fraction

5/9

200

Write 0.878787... as a fraction in simplest form

29/33

300

Write 2.090909... as a mixed number in simplest form

2  1/11

400

Write 1.484848... as a fraction in simplest form

1  16/33

500

Write 0.233333... as a fraction in simplest form

7/30

Irrational Numbers

100

Square root of 3

Rational or Irrational?

Irrational

200

Rational or Irrational?

-3/4

Rational

300

Which of the following are irrational?

-81,572

square root of 11

5.636336333...

square root of 16

square root of 11

5.636336333...

400

Rational or Irrational?

square root of 100

Rational

500

Rational or irrational

pi

irrational

Ordering numbers

100

Which is larger?

square root 32   or  5.51326...

square root 32

200

What is the least number?

1/6, -3, square root of 7, -6/5, 4.5

-3

300

Which number is bigger?

square root of 8   or    2  1/3

square root of 8

400

Order the number from least to greatest.

pi, 3  1/2, 3.8, 3.555..., square root of 17

pi, 3  1/2, 3.555..., 3.8 , square root of 17

500

Order the numbers from least to greatest.

square root of 11, 2  1/4, -2.5, 3.666..., -3.97621...

-3.97621..., -2.5, 2  1/4, square root of 11, 3.666...

square and cube roots

100

square root of 225

15

200

cube root of 729

9

300

A square has an area of 36 square cm.  What is the perimeter of the square?

24 cm

400

The volume of a cube is 512.  What is the area of the bottom of the cube?

64

500

If I square a number and then take the square root, the result is 10.  What was the original number?

10

Equations

100

x²  = 36

Solve for x.

6 and -6

200

x³ = -125

Solve for x

-5

300

x² = 13

Solve for x

positive and negative square root of 13 

400

x³ = 1/8

What is x

1/2

500

A cubic room has a volume of 216 square feet.  If carpet costs $10/square foot, what is the cost to carpet the room?

$360