Vocabulary : Vocabulary Real Numbers:
The set of numbers containing both rational and irrational numbers
All the numbers we deal with are REAL ?
*All numbers are either Rational or Irrational*
Any number you can write as a fraction
Any decimal that either ends or repeats with a pattern
Any number that cannot be written as a fraction
Non-terminating, non-repeating wacky decimals
If a number is irrational, it cannot belong to any other set
More Vocabulary… : More Vocabulary… If a number is rational, it could also be one of the following:
Negatives and positive numbers and 0
No fractions or decimals
All the numbers you see on my number line
-2, -1, 0, 1, 2…
Only positive numbers and 0 (the word “whole” has an 0 in the middle!)
Also called Counting Numbers - These are the numbers we naturally count with
1. Identifying Sets of Numbers : 1. Identifying Sets of Numbers a) -13
2. Identifying Sets of Numbers : 2. Identifying Sets of Numbers a) outdoor temperatures
Integers or Rational Numbers
b) the number of beans in a bag
Why not Natural Numbers?
3. Counterexamples : 3. Counterexamples A counterexample is an example that proves a statement false.
True or False: All negative numbers are integers.
4. Inequalities : 4. Inequalities Inequality: compares the value of two quantities, using <, >, =, or =.
Write - , - , and - in order from least to greatest.
Find the decimal approximation of each.
- , - , -
4. Opposites and Absolute Value : 4. Opposites and Absolute Value Opposites are on opposites sides of zero and are the same distance away from zero.
-2 and 2, -6 and 6, etc.
Absolute Value is the distance a number is from zero.