Ordering Real Numbers 8.NS.2.

Slides:

Advertisements

Similar presentations

Freshman Number Sets Week 3. Review Irrational Numbers Numbers that cannot be written as a fraction Rational Numbers Numbers that can be written as a.

Advertisements

EXAMPLE 3 Classify numbers

Rational and Irrational Numbers

11.1 and 11.2 Radicals Goal(s): 1.To find the square roots of perfect squares, perfect square radicands and estimate the roots of irrational numbers 2.Determine.

(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.

Warm-Up What is a real number? 7 2 =.

I RRATIONAL N UMBERS Classifying and Ordering Numbers.

Real Numbers and the Number Line

Ordering fractions, decimals and percents. Arrange the following fractions, decimals and percents in order from least to greatest ⅔, 0.6, 0.67 and 65%

Chapter 4 Review Radicals/Exponents.

Lesson 9-2 Pages The Real Number System Lesson Check 9-1.

Ordering Fractions and Decimals. Steps:  Change all decimals to fractions by dividing  Write all decimals vertically aligning the decimal  Begin comparing.

Changing Decimals to Fractions

Relating Fractions, Decimals & Percents Day 1. Order the numbers from least to greatest % In order to do this, they must all be in the.

Warmup Is …rational or irrational? (guess if you don’t know)

MAJOR TEST REVIEW WORKSHEET COMMON CORE STANDARDS #1, #2, & #4.

8-3 Comparing Real Numbers

Lesson 4-3 Example Example 1 Write 1.41, 0.55, and 1.01 in order from least to greatest. Check your answer by graphing the decimals on a number line.

Least Common Multiple, Greatest Common Factor, & Decimals

Introduction to Square Roots. 1. Find the exact value of each square root without a calculator. (similar to p.534 #38)

(as opposed to fake numbers?)

Ordering Real Numbers.

Graph and on a number line. Then copy and complete the statement with, or Example 2 Comparing Real Numbers 1 ? = SOLUTION Use a calculator.

Presented by Mr. Laws 8th Grade Math JCMS

DISTRIBUTIVE PROPERTY SQUARE ROOTS SIMPLIFY THE EXPRESSION.

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

EOC Practice #9 SPI

Compare and Order Decimals

Decimal Operations Jeopardy

WARM-UP. REAL NUMBERS THE REAL NUMBERS FLOW CHART REAL NUMBERS RATIONAL IRRATIONAL INTEGERS WHOLE NATURAL.

Warm Up Find each quotient / divided by 3/5

HOW DO WE CLASSIFY AND USE REAL NUMBERS? 0-2: Real Numbers.

Lesson 33Equivalent FractionsPage 235 Comparing Decimals Rounding Decimals.

7 th Grade Test Prep Number Sense. 7.N.17.N.27.N.37.N.17 The Real Number System Real Numbers Rational Numbers Integers Whole Numbers Natural Numbers Irrational.

Name the place value of the underlined digit, then write the number in words: Ex: 3.43 a. hundredths b. 3 and forty three hundredths 1)0.5 2) )-1.04.

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.

Problem of the Day Fractions, Decimals, Percents.

Fractions Homework Name________________________#___________Date__________________ Fraction___________________________________________________________ Decomposing.

EXAMPLE Ordering Real Numbers Order the numbers 0.47, 0.474, 0.47, and 0.23 from least to greatest. SOLUTION STEP 1 Write each decimal out to six.

Bell Work: Simplify.√8 3. Answer:2 Lesson 16: Irrational Numbers.

Evaluate the expression.

Section 2-7, “Comparing and Ordering Rational and Irrational Numbers”

Comparing and Ordering Decimals Exit Slip

Introduction to Square Roots

8.NS.2 The Number System Part 2.

3.7 Extension Activity.

(as opposed to fake numbers?)

Unit 2. Day 10..

Lesson 6.9: Scientific Notation

ratio ratio repeat terminate repeat terminate

Consider the number 9, a) Which digit is in the hundreds place?

Together, rational numbers and irrational numbers form this set.

Unit 2. Day 11..

Square Roots and Irrational Numbers

Lesson 5 Roots Lesson 6 Estimate Roots

Compare and Order Decimals

Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers

Essential Question: How do you compare and order real numbers?

Rational Numbers Objective:

HW: Study Island Review

Bell Work Name which level(s) of the Real Number System each number falls into REAL NUMBERS RATIONAL NUMBERS IRRATIONAL NUMBERS INTEGERS WHOLE.

Volunteer Tutoring Today and Tuesday!

Turn in your homework: Make sure your name is on your homework

Objective - To order whole numbers.

MAJOR TEST REVIEW WORKSHEET

Bellwork August 19 – 23 1) Convert to a decimal: 72%

UNIT 1 Chapter 1-1 Number Systems.

#1 #3 #2 Chapter 1-1 Number Systems

Homework Due Tomorrow 

Presentation transcript:

Ordering Real Numbers 8.NS.2

Comparing Real Numbers To compare and order real numbers: FIRST APPROXIMATE IRRATIONAL NUMBERS AS DECIMALS Example: Compare 3 +5 ⍜ 3+ 5 Estimate 3 and 5 3 is between 1 and 2 5 is between 2 and 3 3 +5 is between 6 and 7 3+ 5 is between 5 and 6 So, 𝟑 +𝟓>𝟑+ 𝟓

Compare These 2 +4 ⍜ 2+ 4 12 +6 ⍜ 12+ 6

Ordering Real Numbers To compare and order real numbers: FIRST APPROXIMATE IRRATIONAL NUMBERS AS DECIMALS Example: Order 22 , 𝜋+1, and 4 1 2 from least to greatest 22 is between 4 and 5, so it is 4.something 22−16 25−16 = 6 9 = 2 3 =0. 6 ≈0.7 So, 22 ≈4.7, 𝜋+1≈4.14, 4 1 2 =4.5 The numbers in order (as they would appear on the number line) are: 𝜋+1, 4 1 2 , and 22