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

Slides:

Advertisements

Similar presentations

Ordering Numbers The map at the right gives the area of four states as fractions of the total area of the United States. Which of these states have the.

Advertisements

Approximate a square root EXAMPLE 2 FURNITURE The top of a folding table is a square whose area is 945 square inches. Approximate the side length of the.

EXAMPLE 1 Comparing Fractions Using the LCD SOLUTION Find the least common denominator of the fractions. The LCM of 8 and 12 is 24, so the least common.

EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±

EXAMPLE 3 Classify numbers

Algebra 2-7 Square Roots and Real Numbers

= 9 = 8 = 12 = 19 = 2 = 3 = 17 = 5 = 11 = 5.

2.1 Find Square Roots and Compare Real Numbers

2.7 Square Roots & Comparing Real Numbers.  Square Root — a number times itself to make the number you started with  Radicand — the number under the.

Solving Quadratic Equations Tammy Wallace Varina High.

( ) EXAMPLE 1 Evaluating Square Roots a. 36 = 6 6 because 2 = 36 . b.

7N1 PLUS The Real Number System (rational and irrational)

EXAMPLE 5 Rewrite a conditional statement in if-then form

EXAMPLE 4 Graph a translated square root function Graph y = –2 x – Then state the domain and range. SOLUTION STEP 1 Sketch the graph of y = –2 x.

SOLUTION EXAMPLE 4 Standardized Test Practice Use the Distance Formula. You may find it helpful to draw a diagram.

The Real Number Line.

Solve a radical equation

Roots Rational Numbers Scientific Notation More with Exponents Laws of Exponents

2.1 Find Square Roots and Compare Real Numbers

EXAMPLE 1 Comparing Fractions Using the LCD

Which answer includes a mixed number that is equivalent to one and three twelfths.

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

Rational and Irrational Numbers 9 2. Recall that a rational number is a number that can be written as a quotient, where a and b are integers and b ≠ 0.

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

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.

Notes Over 6.7 Finding the Number of Solutions or Zeros

EXAMPLE 1 Finding the Greatest Common Factor Find the greatest common factor of 56 and 84. SOLUTION STEP 1 Write the prime factorization of each number.

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

Lesson 3.3 Ordering Decimals

Warm-Up Exercises Find the square of the number.

Math 009 Unit 4 Lesson 4.

Write the radical expression in simplest form.

Warm-Up Change each decimal to a fraction:

7.4 – Roots of Real Numbers. Real vs. Imaginary Roots – opposite of exponents!

Notes Over 7.1 no real 4th roots Finding nth Roots

a. The LCM of 4 and 5 is 20, so the LCD is 20.

EXAMPLE 1 Find nth roots Find the indicated real nth root(s) of a.

Warm Up Find each quotient / divided by 3/5

2.7 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Find Square Roots and Compare Real Numbers.

2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Number Sense Integers Squares.

Which list of numbers is ordered from least to greatest? 10 –3, , 1, 10, , 1, 10, 10 2, 10 – , 10 –3, 1, 10, , 10 –3,

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.

Standard 8 Solve a quadratic equation Solve 6(x – 4) 2 = 42. Round the solutions to the nearest hundredth. 6(x – 4) 2 = 42 Write original equation. (x.

MATH 8 CHAPTER 9 TEST REVIEW REAL NUMBERS AND RIGHT TRIANGLES.

Square Roots. Perfect Squares Squaring is when a number is multiplied by itself – It’s called squared because the area of a square is multiplying a side.

Pg #8-46 e, ) C60.) A Vocabulary If _________, then ___ is a ____________ of ____. –Example: Perfect Squares: –Examples: b square.

Evaluate the expression.

Warm Ups Term 2 Week 6.

Order 2.11, 2.21, 2, 2.06, and 2.24 from least to greatest.

Compare and Order Decimals

Introduction to Square Roots

Find the square of the number.

Section 1.3 Solving Equations Using a Graphing Utility

Math 009 Unit 4 Lesson 4.

Square Roots Practice © T Madas.

3.7 Extension Activity.

1.3 Ordering Real Numbers How do you order a set of real numbers?

Lesson 2.7 Finding Square Roots and Compare Real Numbers

Math 009 Unit 4 Lesson 4.

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

1. Use the quadratic formula to find all real zeros of the second-degree polynomial

Lesson 2.1 How do you compare positive and negative numbers?

Section 1.3 Solving Equations Using a Graphing Utility

A graphing calculator is required for some problems or parts of problems 2000.

Math 009 Unit 4 Lesson 4.

Objective Solve quadratic equations by using square roots.

Determine the graph of the given function. {image}

Ordering Real Numbers 8.NS.2.

Because we are familiar with multiplication, we know that Ö25 = 5

Objective - To order whole numbers.

Presentation transcript:

Graph and on a number line. Then copy and complete the statement with, or Example 2 Comparing Real Numbers 1 ? = SOLUTION Use a calculator to approximate the square root. Graph the decimal forms of the numbers on a number line and compare.

Example 2 Comparing Real Numbers ANSWER Because is to the right of, >

Example 3 Ordering Real Numbers Order the numbers 0.47, 0.474, 0.47, and from least to greatest = … 0.47 = … SOLUTION STEP 1 Write each decimal out to six decimal places = … = …0.23

Example 3 Ordering Real Numbers STEP 2 Write the decimals in order , , , and ANSWER From least to greatest, the order is 0.474, 0.47, 0.47, and.

Guided Practice Copy and complete the statement with, or. for Examples 2 and 3 = ? ANSWER > < < ? ANSWER < ? ?

Guided Practice for Examples 2 and 3 Order the numbers from least to greatest , and 0.525, , ,, , and ANSWER 0.52,, 0.525, , ANSWER 1.7, 1.89

Guided Practice Order the numbers from least to greatest. for Examples 2 and ,,, and ANSWER,, 1, , 1.71,, ,, 1.71, ANSWER