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

Slides:

Advertisements

Similar presentations

Real Number System and Radicals SPI 11A: order a set of rational and irrational numbers SPI 12B: simplify a radical Objectives: Investigate the Real Number.

Advertisements

(as opposed to fake numbers?)

(as opposed to fake numbers?)

Rational and Irrational 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.

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,

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,

Squares, Square Roots, Cube Roots, & Rational vs. Irrational Numbers.

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

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

1 Classifying and Identifying Real Numbers (as opposed to fake numbers?)

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

Rational and Irrational Numbers

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.

Section 2-8 Definitions Square root: = 6. Radical sign: This is a radical sign. Perfect square: 4, 9, 16, 25, … are perfect square numbers. Because 2*2=4,

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 +

Chapter 4 Powers and Roots. Real Numbers Rational Review Natural Numbers Whole Numbers Integers Fractions Repeating or Terminating Decimals New Perfect.

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 Test Directions: Show your work for each slide on the next 2-3 blank pages of your INB. Write the title above on each page you use in.

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 Find each quotient / divided by 3/5

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

Real Numbers Rational Number s Non- integer s Intege rs Negative Integers Whole Number s Natural Numbers Zero Irrationa l Number s.

Aim: How Do We Simplify Radicals? . The entire expression, including the radical sign and radicand, is called the radical expression. radicand. radical.

5-3(D) Real Numbers.

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

Lesson 7.4 Objective/Topic: To approximate square roots of non rational numbers. To classify real numbers EQ: How can you find decimal approximations of.

START HERE Startup: Place each value on the number line where it belongs.

1-1 REAL NUMBERS Bell-work 1.) 2x + 1 = x + 6.

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

2.7 Square Roots and Real Numbers

3.7 Extension Activity.

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.

(as opposed to fake numbers?)

ratio ratio repeat terminate repeat terminate

(as opposed to fake numbers?)

(as opposed to fake numbers?)

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

Lesson 1 - Irrational Numbers

Number Systems.

Homework Check.

Real Number System and Radicals SPI 11A: order a set of rational and irrational numbers SPI 12B: simplify a radical.

Rational and Irrational

Real Numbers COURSE 3 CHAPTER 4 1. yes 2. no 3. yes

10.2 Real Numbers Objective: The objective is for the students to learn the difference between a rational and irrational number.

(as opposed to fake numbers?)

(as opposed to fake numbers?)

The Real Numbers.

Rational and Irrational Numbers

0-2 Real Numbers.

Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers

Rational and Irrational numbers

Natural Numbers The first counting numbers Does NOT include zero

Irrational Numbers.

(as opposed to fake numbers?)

Homework CHeck.

(as opposed to fake numbers?)

Presentation transcript:

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

Irrational numbers cannot be expressed as a ratio of 2 integers. Irrational numbers include: Non-terminating decimals; Non-repeating decimals; and Non-perfect squares. Rational numbers can be expressed as a ratio of 2 integers. Rational numbers include: Terminating decimals; Repeating decimals; and perfect squares. Real Numbers Imaginary numbers (i) ∞

Example 1: Classifying Real Numbers Write all names that apply to each number. 5 is a whole number. rational, real –12.75 is a terminating decimal. –12.75 rational, real 16 2 Natural, whole, integer, rational, real A. B. C. 5 simplified as 8 is a whole number.

Example 2 Write all names that apply to each number. irrational, real … Irrational, real A. B. C Whole, rational 0303 = 0 Non-terminating, non repeating decimal.