10/3/2016
Prebell
Rational Numbers
Which numbers would be included in the
solution set for 3𝑥 − 8 < 5𝑥 − 18?
A. −19
B. 15
C. 5
D. 2
E. −4
F. 12
• As a decimal, they
either terminate
(end) or have a
pattern that repeats.
29
2
5
−6
94.583
196
Whole Numbers
… − 3, −2, −1, 0, 1, 2, 3 …
Natural Numbers
• Countable numbers
• No zero
81
13. 54
19
Integers
• Positive whole numbers
and their opposites
• No decimals or fractions
24.76248
1, 2, 3 …
• Positive whole numbers
and zero
• No negatives
0, 1, 2, 3 …
Classify in as many ways as possible.
A. − 121
B. 2.468
C. 0
D.
24
6
1
10/3/2016
Irrational Numbers
23
−3.7082039 …
358
𝜋
• As a decimal, they
continue forever without a
repeating pattern.
• Whenever you take the
square root of a nonperfect square, your
answer will be irrational.
Non-real Numbers
• Give calculator errors:
– Dividing by zero (undefined)
•
3
MATH Errors, not
SYNTAX Errors
0
– Negative under the radical (imaginary)
•
−36
134
Rational, Irrational, or Non-Real?
a) 24.985
196
b)
c)
0
8
−81
d)
e)
4
7
f)
g)
h)
i)
j)
− 244
−3.841
14.6154932 …
3.14
19
0
2