
My goal is... identify and compare rational numbers.
Comparing and Ordering Rational Numbers:
Rational Numbers are _______________________________________________________________
_________________________________________________________________________________
Rational vs. Irrational Numbers
1
2
0.8
5. 2̅

-10
0.121121112…
1
-6
3.4444….
13
-THE NUMBER SYSTEM
________________________________ are positive counting numbers and zero.
o 0, 1, 2, 3, 4…

___________________ are whole numbers and their opposites (positives and negatives), and zero.
o …–4, –3, –2, –1, 0, 1, 2, 3, 4 …

A ____________________________________ is a number that can be written as a fraction. Remember- all
fractions can be converted into a repeating decimal, or terminating decimal.
4 9
o
, , 5.3, 5.333333, 5.333… , 5.923587, 5.3 , 8.319
9 4

An ___________________________________ is a number that cannot be expressed as a fraction.
o ∏, 38.41245309…
Example 1:
Classifying numbers
 Directions: Check all the sets of numbers to which each number belongs.
Number
Irrational Number?
Rational Number?
Integer?
Whole?
3
1.7
14
5.84769…

1
2
9.562136879
−

24
6
Let’s talk about ÷ 0
For example: What is
5
?
0
What conclusions can we draw?
__________________________________________________________________________________________________
__________________________________________________________________________________________________
Ex. 1) Part A:
-1
Part B: Plot the numbers on a number line to prove your answer.
Ex. 2)
Ex. 3)
Ex. 4) Part A:
Part B: Plot the numbers on a number line to prove your answer.
Math HW
Identify & Compare Rational
Numbers

Name: _____________________________
Date: ______________________________
Period: ___________________
Math
HW #27
My goal is... identify and compare rational numbers.
1. Write the definition of a rational number. Include examples in your definition.
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
2. Write the definition of an irrational number. Include examples in your definition.
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
3. Check all the sets of numbers to which each real number belongs.
Number
4
3
5
8.5865…
𝜋
−
36
4
8.2
0.13876…
0.521521521 ….
27.8809
Irrational Number?
Rational Number?
Integer?
Whole?
4. Part A.
Part B. Plot the numbers on a number line to prove your answer.
5.)
7.)
6.)
Part A.
Part B. Plot the numbers on the number line to prove your answer.