Day Problems Simplify each expression. 1. 2 (5 + 9) – 62. (2 + 9) (8 – 4) 3. 6 [13 – 2 ( 4 + 1)] Evaluate each expression for m = 4 and r = 8. 4. m 2 +

Slides:

Advertisements

Similar presentations

Chapter 1.1 Sets of Real Numbers Real Life Situations.

Advertisements

Chapter 3, Lesson 3-4 The Real Number System.

(as opposed to fake numbers?)

WHAT IS CLASSIFICATION ??? CLASSIFIED IN SCIENCE CLASS, WE LEARN ABOUT DIFFERENT ANIMAL SPECIES AND HOW THEY ARE CLASSIFIED ACCORDING TO THEIR PHYSICAL.

(as opposed to fake numbers?)

Classifying Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.

The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.

Warm-Up. OBJECTIVE: TO DETERMINE THE SETS OF NUMBERS TO WHICH A GIVEN NUMBER BELONGS. TO USE THE PROPERTIES OF REAL NUMBERS TO SIMPLIFY EXPRESSION. Properties.

NUMBER SYSTEMS ⅝ 25 √7 π

Real Numbers Real Numbers are all numbers that can be located on Real Number line. This includes all whole numbers, all fractions, all decimals, all roots,

Chapter 1: Solving Equations and Inequalities This chapter is going to review important concepts from Algebra Expressions and Formulas Objective:

Naturals - Natural counting numbers { 1, 2, 3… }

SETS OF NUMBERS.

Rational or Irrational? Why?

Objective - To classify and identify numbers within the real number system. Rational NumbersIrrational Numbers -Any number that can be written as a fraction.

1.2 Properties of Real Numbers. Sets Of Numbers – Naturals Numbers: counting numbers {1, 2, 3, 4…} – Wholes Numbers: counting numbers and zero {0, 1,

1-3 REAL Numbers :- 1-3 REAL Numbers :- New Vocabulary: Real Numbers : Natural Numbers : Whole Numbers : Integers : Rational Numbers : Irrational Numbers.

(as opposed to fake numbers?)

Real Number System.

Lesson 5-2 Pages Rational Numbers Lesson Check 5-1.

Algebra and Trigonometry III by: Mr Pol Ogrimen Jr.

REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Rational and Irrational Numbers. Standards: Use properties of rational and irrational numbers.  MGSE9–12.N.RN.2 Rewrite expressions involving radicals.

Drill #2 Evaluate each expression if a = 6, b = ½, and c =

Unit 2 Mid Unit Test Review

Exponents 8 th Grade Pre-Algebra. Real Numbers Rational Numbers: Any number that can be written as a fraction Integers Positive and negative whole numbers.

The Real Number System -13 O, 1, 2, 3… 1/ π.

The Real Number System. Real Numbers Real numbers consist of all the rational and irrational numbers. The real number system has many subsets: Natural.

The Real Number System. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% π √2√2 − ….

Exploring Real Numbers Lesson 1-3. Real Numbers Rational Numbers Integers Whole Numbers.

Exploring Real Numbers. About Real Numbers ● "Real Numbers" are all the numbers that we deal with in math class and in life! ● Real Numbers can be thought.

Rational and Irrational Numbers Write down anything you know about rational and irrational number.

REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

1–1: Number Sets. Counting (Natural) Numbers: {1, 2, 3, 4, 5, …}

1.8 The Real Number System Standard: 7.NS1d, 2c, & 2d.

Review for Unit 2 Quiz 1. Review for U2 Quiz 1 Solve. We will check them together. I will answer questions when we check answers. Combine like terms.

REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

1-3 Exploring Real Numbers. Let’s start on the inside…what are natural numbers? Natural numbers are the counting numbers… 1, 2, 3, 4 …

Warm-Up Convert the following to fractions: 1) ) ) ) 0.12.

Section 1-2 Classifying Numbers and the Number Line.

Algebra and Trigonometry III. REAL NUMBER RATIONAL IRRATIONAL INTEGERSNON INTEGERS NEGATIVE …, – 3, – 2, – 1 WHOLE ZERO 0 + Integers Counting or Natural.

1-2 IRRATIONAL NUMBERS AND SQUARE ROOTS I Can: - Classify numbers as rational or irrational and find and estimate square roots.

Number Sets. Symbols for Number Set Counting numbers ( maybe 0, 1, 2, 3, 4, and so on) Natural Numbers: Positive and negative counting numbers (-2, -1,

5-3(D) Real Numbers.

Classifying Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.

Objective Classify a number in the real number system.

The set of real numbers consists of the set of rational numbers and the set of irrational numbers. Irrational numbersRational numbers Real Numbers Integers.

Warm Up Simplify Estimate Section 1.3 B Classifying Numbers.

Sets of Real Numbers (0-2)

Aim: How do we classify real numbers?

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

Lesson 5-2 Pages Rational Numbers.

The Mysterious World of Number Identity…

The Complex Number System

All numbers that can be represented on a number line are called real numbers and can be classified according to their characteristics.

Exploring Real Numbers

Real Number System.

The Mysterious World of Number Identity…

Together, rational numbers and irrational numbers form this set.

Write each fraction as a decimal.

The Real Number System Essential Question: -How do we classify as rational and irrational numbers?

Lesson 7 The real number system

Rational and Irrational Numbers

Objectives Evaluate expressions containing square roots.

0-2 Real Numbers.

Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers

Natural Numbers The first counting numbers Does NOT include zero

Rational and Irrational Numbers

The Mysterious World of Number Identity…

Presentation transcript:

Day Problems Simplify each expression (5 + 9) – 62. (2 + 9) (8 – 4) 3. 6 [13 – 2 ( 4 + 1)] Evaluate each expression for m = 4 and r = m 2 + r m 2 r

1.3 Exploring Real Numbers Natural numbers - counting numbers starting with 1. Ex. 1, 2, 3, …. Whole numbers – counting numbers starting with 0. Ex. 0, 1, 2, 3, … Integers – Counting numbers – no decimals. Ex. -2, -1, 0,1, 2, etc. Rational number – any number that you can write in the form a, where a and b are integers b and b ≠ 0.

Classifying Numbers Name the set(s) of numbers to which each number belongs. a. c. 0 b.23d Solutions: a.Rational numbers b.Natural number, whole number, integer, rational number c.Whole number, integer, rational d.Rational number

Irrational number Irrational number - cannot be expressed in the form a, where a and b are integers. b Ex …., π, These are irrational because the decimals of each of these are nonrepeating and nonterminating.