Classifying Real Numbers
Comparing and Ordering Real Numbers
REAL Deal
Rational Numbers
Irrational Numbers
100
Which of these numbers is a NATURAL number? a) 2/3 b) -3 c) 7 d) 0
7 is a natural/counting number
100
Compare using <, >, or =. -5.4 ____ 6.7
-5.4 < 6.7 (Negative numbers are always smaller than positive numbers.)
100

True or False: The natural numbers are a subset of the integers.

True

100

These numbers can be written as fractions

Rational Numbers

100

These types of numbers can not be written as fractions..

Irrational

200
Which of the following is a whole number? a) 0.8 b) 1/2 c) -5 d) 12/3
12/3 = 4 ; 4 is a whole number
200
Compare using <, >, or =. 0.76 _____ 0.2345
0.76 > 0.2345
200

Classify the number in as many ways as possible: -6

Integer, rational

200

These rational numbers are referred to as "the counting numbers" and they include 1, 2, 3,

Natural Numbers

200

If a number is not a perfect square then its' square root is a

irrational number

300
Which of the following is an integer? a) -4/9 b) 12 c) 0.67 d) 1/4
12 is an integer. Integers are whole numbers or their opposites.
300
Compare using <, >, or =. 4/5 _____ 0.80
4/5 = 0.80
300

Is {-1, 0, 1} a subset of the whole numbers?

No

300

All rational numbers are...

Real

300

This value commonly used in geometry is an irrational number because it is a decimal that does not terminate...

pi

400
Why is "Pi" an irrational number?
"Pi" is an irrational number because its decimal goes on forever and never repeats. Also, it cannot be written as a fraction.
400
Order the following numbers from least to greatest: 1/2, 0.12, -8, 0, -1.3
-8, -1.3, 0, 0.12, 1/2
400

 {-5, 0, 13, 4.8, 95} is a subset of?

Rational

400

These type of rational numbers is all natural numbers including zero

Whole

400

An irrational number does not terminate or

repeat

500
Is the square root of 81 a rational or irrational number? How do you know?
The square root of 81 is a rational number because it is equal to 9 and 9 can be written as a fraction, 9/1.
500
Order these numbers from greatest to least: 3.9, -4, 1.22, 1/4, -12
3.9, 1.22, 0.25, -4, -12
500

Classify -142  

Natural

500

This type of number is a whole number that is negative or positive.

Integer

500

List two examples of irrational numbers.

Pi and non-perfect squares

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