Properties of Real Numbers

Slides:

Advertisements

Similar presentations

Find Square Roots and Compare Real Numbers

Advertisements

College Algebra Review Section 1 Objectives of this Section Classify Numbers Evaluate Numerical Expressions Work with Properties of Real Numbers.

Properties of Real Numbers. TYPES OF NUMBERS NATURAL  5, 3, 1, 700, 26 … positives, no fractions WHOLE  0, 1, 1052, 711, … naturals and 0 INTEGERS 

(as opposed to fake numbers?)

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

Vocabulary Section 1-3. Vocabulary Section 1-3 continued…

Chapter 1 Foundations for Algebra

Chapter 2 Definitions Numbers such as 3 and -3 that are the same distance from 0 but on the opposite side of 0 are called opposites. The set of integers.

Warm Up Write each number as a percent. -15, -7, -4, 0, 4, 7{…, -2, -1, 0, 1, 2, 3, …} Add the negative natural numbers to the whole numbers Integers.

1.1 – Real Numbers, Number Operations

PROPERTIES OF REAL NUMBERS 1 ¾ PI.

1 -2 Properties of Real Numbers. Types of Numbers  Often, numbers are grouped or classified as specific types of numbers. We will explore the following.

The Real Number System.  Natural Numbers (AKA Counting Numbers): {1, 2, 3, 4, …}  Whole Numbers (Natural Numbers plus zero): {0, 1, 2, 3, …} NOTE: Both.

6:12-4 Exploring square roots and rational numbers.

Do Now LT: I can identify the real set of numbers that has special subsets related in particular ways.

1)12 (–28) 2) –23 + (–15) 3) 28 ÷ ( –12) 4) 0.314, , 0.309, Warm-Up Simplify. Order the numbers from least to greatest ,0.309,0.3131,0.314.

Thinking Mathematically Number Theory and the Real Number System 5.5 Real Numbers and Their Properties.

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

REAL NUMBERS. Real IntegersWhole #’sCounting#’s Rational.

1-1 Properties of Real Numbers

Properties of Real Numbers Algebra A Unit 1, Lesson 4.

-(-7.2) 1-(-3) -9+(-4.5) (-3.4)(-2) -15/3 -2/5 + 3/-5

Unit 1-Number Sets Aa-1.1 Define and identify integers, rational, irrational, natural, whole and real numbers.

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

Section P-1 What are the properties of real numbers?

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

Warm-Up from 1.1 Find the algebraic expression to represent the pattern given: 1.5, 9, 13, 17, …. 2.2, -3, -8, -13, … 3.-3, 0, 5, 12, 21, … 4.5, 14, 29,

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

Real Number and the number Line. Number System Real numbers: is number that can be positive or negative and have decimal places after the point. Natural.

1-1 Properties of Real Numbers Big Idea: -Graph, order, identify, and use properties of real numbers.

Natural Numbers Where do the natural numbers start? 1 Write them in set notation {1, 2, 3,... }

Front of Room Door Josh Edson. Warm Up 1) -(-7.2) = 3) 1 – (-3) = 2) (-3.4)(-2)= 4) Day 1: August 22 nd Objective: To graph and order real numbers To.

Making Sense of Rational and Irrational Numbers

Properties of Real Numbers

Rational and Irrational Numbers

Appendix A Basic Algebra Review

WARM UP The least common denominator of the fractions and is

Rational and Irrational Numbers

Rational and Irrational Numbers

Real Numbers and Their Properties

Section 2 Properties of Real Numbers

Day 4 – August 22nd Objective: Review number/term properties

NUMBERS Different Kinds and Properties Part 1 (introduction)

Rational & Irrational Numbers

Order of Operations & Real Numbers

Algebra II (Honors) Chapter 1

1.1 Real Numbers & Number Operations

(as opposed to fake numbers?)

(as opposed to fake numbers?)

(as opposed to fake numbers?)

Warm-Up #12 (Monday, 9/28) 3 ∙ ∙ (2 5 − 125)

Section 5.5 Real Numbers and Their Properties

The Real Number System 11/30/2018 Singler.

Distributing, Sets of Numbers, Properties of Real Numbers

Lesson 7.4 Real Numbers.

(as opposed to fake numbers?)

8.1 Introduction to Radicals

(as opposed to fake numbers?)

1.1 & 1.2: Properties of Real Numbers & Algebraic Expressions

Section 5.5 Real Numbers and Their Properties

Objectives Evaluate expressions containing square roots.

Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers

Estimate the square root

Apply Properties of Real Numbers

Natural Numbers The first counting numbers Does NOT include zero

(as opposed to fake numbers?)

Lesson 1 – 2 Properties of Real Numbers

(as opposed to fake numbers?)

Presentation transcript:

Properties of Real Numbers 1.2 Notes Properties of Real Numbers

Warm-up: 1) -(-7.2) = 3) (-3.4)(-2) 2) 1 – (-3) = 4)

Objectives and Vocabulary To graph and order real numbers To identify properties of real numbers VOCABULARY: Opposite Additive Inverse Reciprocal Multiplicative Inverse

Place these numbers on the number line.

Real Numbers Natural Numbers naturally what babies start with (counting) Whole Numbers natural numbers and zero. Integers - natural numbers, zero, and negative integers. Each negative integer is the additive inverse (or opposite) of a positive integer

Real Numbers Rational Numbers -all numbers that can be written as quotients (division) of integers. - can be terminating decimals or repeating decimals. Irrational Numbers - cannot be written as quotients of integers - decimal representations neither terminate or repeat (like pi). - if positive rational number in not a perfect square root such as 25 or then, its square root is irrational.

REAL NUMBERS Rational Numbers Irrational Numbers N Natural Whole Integers

Comparing Numbers Inequality Symbols > or < Compare using inequality symbols.

Properties of Real Numbers Property Addition Multiplication Commutative Associative Identity Inverse Distributive

State the property a. b. c.

HOMEWORK P. 15 # 1-9(odd), 10, 15, 20, 29, 33, 37, 40