Rational vs. Irrational Numbers by Mrs. Miller

Rational/Irrational

100

Is 4/9 rational or irrational? Explain.

Rational, it is a fraction.

200

Is 31.7878... rational or irrational? Explain.

Rational, it is a repeating decimal

300

Do irrational numbers terminate? Explain.

No, terminating decimals are rational.

400

Is 44.534593... rational or irrational? Explain.

Irrational, decimal does not terminate and does not repeat.

500

Is pi rational? Explain.

No, pi does not terminate and does not repeat..

Conversion

100

What is 0.333... as a fraction?

1/3

200

Write 2/9 as a decimal.

.2 repeating

300

What is 8.0404... as a fraction?

8 4/99 

400

Write 5/33 as a decimal.

.15 repeating

500

What is 4.0303... written as a fraction?

4 1/33

Approximate

100

Approximate the √10 to the nearest integer.

3

200

Approximate the √18 to the nearest integer.

4

300

Approximate the -√34 to the nearest integer.

-6

400

Approximate the cube root of 500 to the nearest integer.

8

500

Approximate the cube root of -132 to the nearest integer.

-5

Between 2

100

What 2 whole numbers does the square root of 98 lie between?

9 and 10

200

What 2 whole numbers does the square room of 47 lie between?

6 and 7

300

What 2 whole numbers does the square room of 92 lie between?

9 and 10

400

What 2 whole numbers does the cube root of 215 lie between?

5 and 6

500

What 2 whole numbers does the cube root of 645 lie between?

8 and 9

Pythagorean Theorem

100

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

200

Find the distance between the 2 points

(1,2), (7,6)

sqrt(52)

300

Am I a right triangle

14, 19, 23

No

400

Am I a right triangle (prove it)

1.4, 4.8, 5

What is yes

500

find the distance

(2,4), (7,2)

sqrt(29)