Classifying Numbers, number lines, and <,>,=

Rational Numbers Rational numbers (Q) – A real number that can be written as a ratio of two integers. Rational numbers in decimal form are terminating and repeating. Examples: ⅔, 1.5467, 2.76

Irrational Numbers Irrational Numbers (I)– A number that cannot be written as a ratio of two integers. Irrational numbers in decimal form are nonterminating and nonrepeating. Examples: 3.141592653…, √2

Real Numbers (R) - Rational and Irrational Numbers make up real numbers. Natural Numbers (N) – all positive whole numbers. They begin at 1, 2, 3, … Whole Numbers (W)– Non-negative integers. They begin at 0, 1, 2, 3, 4,… Integer (Z) – The whole numbers and their opposites. Examples: -3, -2, -1, 0, 1, 2, 3

Example A. Name the set or sets of number to which 4 belongs.

A. Name the set or sets of number to which 4 belongs. Example A. Name the set or sets of number to which 4 belongs. Answer: Natural, whole, integer, rational and real

Example Name the sets or sets of numbers to which 13 28 belongs.

B. Name the sets or sets of numbers to which belong. Example B. Name the sets or sets of numbers to which belong. Answer: 0.46429 It is a rational number and it is real.

Example C Name the set or sets of numbers to which 144 belongs.

Name the set or sets of numbers to which 144 belongs. Example C Name the set or sets of numbers to which 144 belongs. Answer: 12, natural, whole, Integer, rational, and real

On Your Own 1. Name the set or sets of numbers to which belongs. A. Whole, real B. Rational, real C. Integer, real D. Natural, real Lesson 8 CYP1

Own Your Own A. Whole, real B. Rational, real C. Integer, real 1. Name the set or sets of numbers to which belongs. A. Whole, real B. Rational, real C. Integer, real D. Natural, real

Own Your Own 2. Name the set or sets of numbers to which 36 belongs. A. naturals, wholes, integers, rationals B. irrationals C. integers only D. none of the above

Own Your Own 2. Name the set or sets of numbers to which belongs. A. naturals, wholes, integers, rationals B. irrationals C. integers only D. none of the above Lesson 8 CYP1

Own your own 3. Name the set or sets of numbers to which 45 belongs. A. Natural, Whole, integer, real B. Integers, real C. Irrationals, real D. Naturals, integer, real

Lesson 8 CYP1 Own your own A B C D 3. Name the set or sets of numbers to which belongs. A. Natural, Whole, integer, real B. Integers, real C. Irrationals, real D. Naturals, integer, real A B C D Lesson 8 CYP1

> = greater than < = less than Inequality- a mathematical sentence that compares that compares the value of two expressions using an inequality symbol, such as < or >. > = greater than < = less than ≥ = greater than or equal to ≤ = less than or equal to Example: Use >, =, or < to compare.

> = greater than < = less than Inequality- a mathematical sentence that compares that compares the value of two expressions using an inequality symbol, such as < or >. > = greater than < = less than ≥ = greater than or equal to ≤ = less than or equal to Example: Use >, =, or < to compare. > > <

Own Your Own A. B. C. D.

Own Your Own A. B. C. D. A B C D Lesson 8 CYP7

Place the following example on a number line. -3.56, 4 , 3 4 , 12 5 -3.56, 4 , 3 4 , 12 5

Opposites – two numbers that are the same distance from zero on a number line but lie in opposite directions Absolute Value – the distance for 0 on a number line. Ι12Ι = 12 Ι-15Ι = 15 Ι Ι =