1. Positive Numbers and the Number Line

2. Unit 1 – Classifying Numbers

3. Vocabulary Natural Numbers – The set of counting numbers {1, 2, 3, 4…}
Whole Numbers – The set of counting numbers and zero {0, 1, 2, 3…}
Integers – The set of whole numbers and their opposites {…-2, -1, 0, 1, 2…}
Rational Numbers – The set of integers and all fractions, terminating decimals and repeating decimals
Irrational Numbers – The set of numbers that can not be expressed as a fraction. This includes all non-repeating decimals.
Real Numbers – The set of numbers that includes all rational and irrational numbers.

5. Famous Irrational NumbersPi 𝛑
𝜋 is the circumference of a circle divided by its diameter and is used in circle calculations.
The first few digits are:
Euler’s Number e
e is the base of the Natural Logarithms (which you won’t deal with until HS).
The first few digits are:
Golden Ratio 𝛗
φ (symbol is the Greek letter "phi”) is a special number that appears many times in geometry, art & architecture.
The first few digits are:

6. Guided Practice Classifying Numbers: For each number, write: real, irrational, rational, integer, whole and/or natural. LIST ALL WORDS THAT APPLY. 7
6.523
12½
-1,436
natural, whole, integer, rational & real
rational & real
integer, rational & real
whole, integer, rational & real

7. Guided Practice Classifying Numbers: For each number, write: real, irrational, rational, integer, whole and/or natural. LIST ALL WORDS THAT APPLY.
-9.432
-6¼ π
124,985
-147
rational & real
irrational & real
natural, whole, integer, rational & real
integer, rational & real