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