Chapter 1 Section 3
Real Number Classifications
Comparing Real Numbers
The Real Numbers
Irrationals: unending and non-repeating decimals
3.14159…
0.1010010001…
Rationals: can be written as a fraction
Integers: positive and negative whole numbers
Wholes: naturals including zero
Naturals: counting numbers
Let’s try some classification!
• Tell me how each number can be classified (hint: they can fit into more than one category)
• 3• -0.5• -99• 0.101101110111101…
Comparison Symbols
• Less than
• Greater than
• Less than or equal to
• Greater than or equal to
Remember, the alligator always wants to eat the bigger number!
Compare Some• Which is greater?•
•
3
2
6
1
26.50
13
•There are two ways…
•Get a common denominator•Turn both into a decimal
Let’s give it a shot!
• Put the numbers in order from least to greatest
3
4,3
4,2
3
1
4,1
5,7
20
Two techniques:
•either turn each fraction into a decimal
•get a common denominator and compare the numerators
Absolutely only one more thing…
• Absolute Value: the distance a number is from zero
x The positive version of x whether it started off as positive or negative
Practice Please
• Find the absolute value of each
7
7
1
3
0
Assignment
• Page 20-22• # 2-10 even• # 19-23• # 25-45 odd• # 51-63 odd