Rational/Irrational Numbers

Rational?

100

Is pi rational or irrational?

Irrational

200

Are repeating decimals rational or irrational?

Rational

300

Are real numbers rational or irrational?

Both

400

Is the square root of 3 rational or irrational?

Irrational

500

List 3 rational numbers and 3 irrational numbers.

Answers vary.

Comparisons

100

1/4 < X < .6

x = 2/5

True/False

True because 2/5 = 0.4

200

1.5 < x < 17/10

x = square root of 3

True/False?

False

300

1 < x < 2

x = 1³

True/False?

False

400

-1.5 < x < -4/2

x = - square root of 3.2

True/False?

True

500

Which is greater in value?

pi or 3.14?

pi, because pi continues beyond 3.14

Square Roots

100

Find the square root of 529

23

200

What is the square root of 20 to the nearest tenth?

4.5

300

The square root of 34 falls between what two whole numbers?

5 and 6

400

What is the value of 2 times the square root of 333?

Round to the nearest tenth.

36.5

500

What is the value of the square root of 9 over the square root of 36?

3/6 or 1/2

Apply It!

100

Find the side length of a square tile that has an area of 153.76 cm².

12.4 cm

200

A square table has an area of 49 feet².  What is the length of each side?

7 feet

300

Wayne has a square painting that he wants to put a frame around.  If the area of the painting is 729 cm², what is the length of each side of framing?

27

400

Each square bathroom tile has an area of 6.25 in².  If the wall needing tile measures 50 inches by 90 inches.  How many tiles will run across the shorter side of the wall?

20 tiles

500

Jessi has square flower garden that has an area of 33.64 feet².  She wants to buy edging to place around the garden.  How much edging will she need to buy?

23.2 feet