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Definitions (fill in the blank)
What in the Irrational Number?
Rational or Irrational?
Which could it be?
Converting Repeating Decimals to Fractions
100

A decimal that has a repeating pattern is a__________ number. 

Rational

100

Create an irrational number that is a decimal.

Decimal must be non-terminating and non-repeating

100
Square Root of 1

Rational, because the square root of 1 is 1 and 1 is a rational number.

100

Which real numbers are rational and why? 

a. 4/-3

b. -5

c. square root of 49

d. 6.78475903...

100

What is  0.55555555...  as a fraction?

5/9

200

A rational number can be expressed as ___________

fraction, ratio, repeating decimal
200

Create an irrational number that is a fraction.

Any imperfect square over b or decimal over b
200

4/9 or .4444444...

Rational, because it can be expressed as a/b where a and b are integers

200

What is this? -73/44 Explain.

a. A rational number

b. A whole number

c. An irrational number

d. A real number

e. A natural number

200

What is .2323232323... as a fraction?

23/99

300

A ______________ can be turned into a fraction. Therefore, it is a rational number

repeating decimal

300

Create an irrational number that is not a perfect square.

The square root of any nonnegative non perfect square.

300

Square root of 32

Irrational, because there are no two identical numbers that have the product of 32

300

5.43443444344443... is an irrational number. If it has a pattern isn't it rational? Explain

It must be a repeating pattern in order for a non-terminating number to be a rational number.

300

What is .2333333333... as a fraction? Simplified to furthest terms

21/90 or 7/30

400

A decimal that is ________________ & has a ______________ pattern is an irrational number. 

non-terminating/non-repeating

400

Create an irrational number that is a real number.

Any irrational number is a real number! 

400

4.515515551....

Irrational, because it is a non-terminating , non-repeating decimal. 

400

Select all that are irrational  and explain.

a. 2/3

b. pi

c. square root of 2

d. 2/9

e. square root of 3

400

What is 1.4848484848... as a mixed number? Simplified.

1 16/33

500

A rational number can be expressed as ___________ where ___________ are ______________ and ___________ can't equal 0

a/b, a/b, integers, b

500

What irrational number is always constant, but is a non-repeating and non-terminating decimal?

pi

500

Square root of 4/9

Rational, because the square root of 4/9 is 2/3 and this can be represented as a/b

500

Which number is irrational and why?

a. square root of 4

b. square root of 16/4

c. square root of 20/5

d. square root of 36/25

500

What is 2.1616161616... as a fraction?

214/99