sections 11.1: square roots & 11.2: approximating square roots pg.533, 540

Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Upload: jessie-mclaughlin

Post on 23-Dec-2015

214 views

Category:

Documents

1 download

Report

Download

Embed Size (px):

TRANSCRIPT

Sections 11.1: Square Roots & 11.2: Approximating Square Roots

Pg.533, 540

Objectives & Vocabulary1. Evaluate expressions using square roots (11.1).2. Approximate square roots of numbers (11.2).

• Square root (pg.533): of a number n, the square root is the number m which, when multiplied by itself, equals n.

• Perfect square (pg.533): numbers that are squares of integers [ex: 4 and 25 are perfect squares].

• Radical expression (pg.534): an expression involving a radical sign (or square root).

• Irrational number (pg.541): cannot be written as a quotient of two integers, and the decimal form of an irrational number neither terminates nor repeats [ex: the square root of 11].

• Real number (pg.541): all rational and irrational numbers (any number is a real number).

Page 3: Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Example 1: Finding Square Roots

A. Find the square root of 81.

B. Find the square root of 49.

Page 4: Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Example 2: Evaluating Square Roots. 36

. 16 and - 16

. 0

Page 5: Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Example 3: Evaluating Radical Expressions

2 2

Evaluate the expression when z = 7 and m = -2.

. 29

. 11

A z

B z m

Page 6: Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Example 4: Solving Equations Using Square Roots

Solve the equation.

A. 25

. 5 54

B h

Page 7: Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Example 5: Approximating Square Roots

. Approximate 11 to the nearest whole number.

B. Approximate 11 to the nearest tenth.

Page 8: Sections 11.1: Square Roots & 11.2: Approximating Square Roots Pg.533, 540

Homework Time—yea!

• Pg.535(2-22E) &• pg.542-543(2-20E, no10)

3.5 Trigonometric Form of Complex NumbersRoots of complex numbers Every number has two square roots. The square roots of 16 are: The square roots of 24 are: The square roots of -81

Estimating square roots

Pre ctivity Square Roots PrePArAtionFind square roots Using the Product or Quotient Properties for Square Roots, take the square root of each perfect square factor found in step 4

Square Roots and Solving Quadratics with Square Roots Review 9.1-9.2

Ics Square Roots

Square Roots and Cube Roots - allebooks f.pdf · Square Roots and Cube Roots Observe the pattern of factors in each case A unit square is a square whose side is 1 unit. Square roots

Square Roots

Square Roots and Solving Quadratics with Square Roots

7.4 Approximating Square Roots

Graphing square roots cube roots - WPMU DEV

Square Roots and Cube Roots Name

Perfect Square Roots & Approximating Non-Perfect Square Roots

6.3 Approximating Square Roots - Big Ideas Learning · 246 Chapter 6 Square Roots and the Pythagorean Theorem 6.3 Lesson Lesson Tutorials A rational number is a number that can be

Chapter 2 Square Square Roots Cubes & Cubes Roots (1)

Perfect Square Roots & Approximating Non- Perfect Square Roots 8.NS.2 USE RATIONAL APPROXIMATIONS OF IRRATIONAL NUMBERS TO COMPARE THE SIZE OF IRRATIONAL

Squares & Square Roots

Estimating Square Roots and Cube Roots. Review of Perfect Square Roots

square-roots - ICTP

8 Math Square and Square Roots

SQUARES SQUARE ROOTS CUBES AND CUBE ROOTS

Square and square roots

14.4 Approximating Square Roots - Big Ideas Math - … Approximating Square Roots ... Key Vocabulary irrational number, p. 648 real ... 10 lies between 3.1 and 3.16 on a number line

Approximating Roots

Learn to estimate square roots and solve problems using square roots. 4-6

Chapter 2 Square Square Roots Cubes & Cubes Roots

9.1 Square Roots

3.5 Trigonometric Form of Complex Numbers · Roots of complex numbers Every number has two square roots. The square roots of 16 are: The square roots of 24 are: The square roots of

Squares & Square Roots - Cerritos Collegeweb.cerritos.edu/.../SitePages/Math40_S09/PerfectSquaresandSquare… · Squares & Square Roots Perfect Squares. ... Squares & Square Roots

Chapter 1Chapter 1 Square Roots and Pythagorean … 1Chapter 1 Square Roots and Pythagorean Square Roots and Pythagorean Square Roots and Pythagorean TheoremTheoremTheorem ... Chapter

Learn to estimate square roots and solve problems using square roots

Square roots and cube roots

Holt square and square roots pp

7.4 Approximating Square Roots - Big Ideas Math Chapter 7 Real Numbers and the Pythagorean Theorem 7.4 Approximating Square Roots How can you ﬁ nd decimal approximations of square

Square Roots Catalog

SQUARE ROOTS SIMPLIFYING SQUARE ROOTS MULTIPLYING AND DIVIDING SQUARE ROOTS ADDING AND SUBTRACTING SQUARE ROOTS USING SQUARE ROOTS WITH THE DISTANCE FORMULA