VocabularyVocabulary

Natural NumbersNatural Numbers: or “counting numbers” : or “counting numbers”

: 1, 2, 3, …: 1, 2, 3, …

Whole NumbersWhole Numbers:: “counting numbers AND “counting numbers AND 0”0”

: 0, 1, 2, 3, …: 0, 1, 2, 3, …

IntegersIntegers:: All whole numbers, both positive All whole numbers, both positive and and negative.negative.

: …, -3, -2, -1, 0, 1, 2, …: …, -3, -2, -1, 0, 1, 2, …

VocabularyVocabulary

Rational NumbersRational Numbers: any number you can : any number you can write as a/b, where a and b are integers and write as a/b, where a and b are integers and bb≠0≠0

: fractions: fractions : decimals that terminate or : decimals that terminate or

stopstop

Irrational NumbersIrrational Numbers:: no fractions, no whole no fractions, no whole numbers, no integersnumbers, no integers

: 1.10002111101…: 1.10002111101…: : √91√91: pi: pi

VocabularyVocabulary

Real NumbersReal Numbers: : everything is always a real everything is always a real number!number!

:all numbers!:all numbers!

ExamplesExamplesName the set(s) of numbers to which each number belongs.Name the set(s) of numbers to which each number belongs.

1) 35.991) 35.99

2) 5/62) 5/6

3) 03) 0

4) 5 1/84) 5 1/8

5) 5) √5√5

6) -806) -80

You try!You try!

Name the set(s) of numbers to Name the set(s) of numbers to which each number belongs.which each number belongs.

1) 1) -32-32

2)2) 4/24/2

3) 3) √1.6√1.6

4)4) 5/85/8

InequalityInequality

A mathematical sentence that compares A mathematical sentence that compares the value of two expressions using an the value of two expressions using an inequality symbol such as < or >.inequality symbol such as < or >.

a < ba < b

Less thanLess than

a = ba = b

Is equal toIs equal to

a > ba > b

Greater thanGreater than

a a ≤≤ b b

Less than or Less than or equal toequal to

a a ≠≠ b b

Is Is notnot equal equal toto

a a ≥≥ b b

Greater than Greater than or equal toor equal to

ExamplesExamples

Write in order from least to Write in order from least to greatest.greatest.

1) -3/8, -1/2, -5/121) -3/8, -1/2, -5/12

2)2) -8/9, -7/8, -22/25-8/9, -7/8, -22/25

3) 1/12, -2/3, -5/83) 1/12, -2/3, -5/8

Step 1: Write as a decimal.

Step 2: Write from least to greatest using

a number line.

You try!You try!

Write in order from least to greatest.Write in order from least to greatest.

1) -3/4, -7/12, -5/81) -3/4, -7/12, -5/8

2)2) -1/3, -2/9, -3/8-1/3, -2/9, -3/8

3) 1/8, 1/15, 3/163) 1/8, 1/15, 3/16

Absolute ValueAbsolute Value-the distance away from 0 on a number line-the distance away from 0 on a number line

Find each absolute value.

1. |12|

2. |-2/3|

3. |0|

4. |-2.9|

5. |5/8|

HomeworkHomework

Real Numbers WSReal Numbers WS