Definitions
Identification
Rational vs. Irrational Numbers
Ordering Real Numbers
100

______ is a number that can be expressed as a fraction.

What is a "rational number"?

100

The decimal representation of 2/5 is ______.

0.4. 

100

Is 4/9 a rational or irrational number? Explain. 

It is a fraction and decimal equivalent is 0.4444 which is a repeating decimal. 

100

To compare and order rational numbers you can put them into this. 

What are decimals. 

200

What are the three types of numbers that are integers.

Whole numbers, their opposites, and zero.

200

Is the square root of 16 rational or irrational? Why? 

Rational as it equals 4. 
200

Is 31.7878 a rational or irrational number? Explain. 

Rational as it is a repeating decimal. 

200

Order from greatest to least.

1/4, -2.5, √5, and 0.5

√5, 0.5, 1/4, −2.5

300

What is an irrational number? 

A number that cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal.

300

Which of the following is an irrational number: 0.121212121212/0.58257569/0.456745674567

What is 0.58257569. 

300

Is 44.534593 a rational or irrational number? Explain. 

Irrational as it does not terminate nor does it repeat. 

300

The √5, 2.5 and √3 from least to greatest.

What is √3, √5, 2.5.

400

What is the difference between a terminating decimal and a repeating decimal?

A terminating decimal has a finite number of digits after the decimal point, while a repeating decimal has a digit or group of digits that repeats indefinitely.

400

9/8 is a __________ decimal.

What is terminating decimal, 1.125.

400

Is the square root of 49 a rational and an integer? 

Yes as the square root of 49 is 7. 

400

Arrange from least to greatest 

−0.8, √4, √12, 0.06

−0.8, 0.06, √4, √12

500

√144 falls into what set(s) of numbers?

What is whole numbers, integers, rational numbers

500

Which of the following is an irrational number: √49 √144 √62?

What is √62.

500

All of the following are examples of rational numbers except: 

0, 1, √10, -4, 1/3, and 2.5 

What is √10. 

500

Order the following numbers from greatest to least: 

3.4, -3, 3/4, √9, 7, 4/5

7, 3.9, 3, 4/5, 3/4, -0.3