Download Geometry Lesson 1.2 Points, Lines, Planes

1-1 Properties of Real Numbers
Objectives:
• Identify the subsets of real numbers.
• Identify the properties of real numbers.
• Find the opposite and reciprocal of a
number.
• Place real numbers on a number line.
Vocabulary
Natural Numbers – 1,2,3,4… the counting numbers
Whole Numbers – 0,1,2,3… the counting numbers & 0
Integers – …-2,-1,0,1,2… the whole numbers & negatives
Rational Numbers – Integers & fractions & terminating or
repeating decimals
 Irrational Numbers – Non-terminal, non-repeating decimals
 Real Numbers – all of the above
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More Vocabulary
 Additive Inverse – opposite
 Multiplicative Inverse – reciprocal
 Absolute Value – how far a number is from 0
Properties
1 Example
Recreation – Many mathematical relationships involving
variables are related to amusement parks. Which set of
numbers best describes the values for each variable?
a.
The cost C in dollars of admission for n people.
The cost C of admission is a rational number (such as
$7.25), and the number n of people is a whole number.
c.
The park’s profit (or loss) P in dollars for each week w of
the year
The week number w is one of the first 52 natural
numbers, and the profit (or loss) P is a rational number.
Sample Problems