Rational
Irrational
Review
100

Give 3 examples of rational numbers.

Fractions, terminating or repeating decimals, square roots of perfect squares.

100

Give 3 examples of irrational numbers.

Square roots of imperfect squares, or decimals that go on forever without repeating.

100

Is the square root of 4 a rational or irrational number?  Is it a perfect square or imperfect square?  You need TWO answers!

rational number, perfect square

200

0.71717171717... is a repeating decimal.  How would you write this same number as a reduced fraction?

71/99

200

Estimate the square root of 38. Round to 2 decimal places if needed.

HINT: Use your calculator!

6.16

200

Convert the number 2.83 to a percent.

283%

300

The number 83 is between which two perfect squares?

81 and 100 (or 92 and 102)

300

Estimate the number 7pi. Round to 2 decimal places if needed.

HINT: Use your calculator!

21.99

300

Simplify -3(6x - 2) using the distributive property.

-18x + 6

400

Estimate the square root of 25. Round to 2 decimal places if needed.

HINT: Use your calculator!

5

400

The square root of -47 is between which two integers?

-6 and -7

400

Evaluate -x when x = -8

8

500

0.213213213213... is a repeating decimal.  How would you write this same number as a reduced fraction?

71/333

(213/999 reduces to this)

500

Write the number 45.829430184675492849.... as a fraction.

It's impossible!  This number goes on forever without repeating, meaning it is IRRATIONAL and cannot be written as a fraction!

500

Evaluate -3x + 7 when x = -4.

19