Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a...

11
Lesson 2-7 Square Roots and Real Numbers

Transcript of Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a...

Page 1: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Lesson 2-7

Square Roots and Real Numbers

Page 2: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

QuickTime™ and aSorenson Video 3 decompressorare needed to see this picture.

Page 3: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Definitions:• Square Root- one of two equal factors of a

number.

• Perfect Square- A number, like 64, whose square root is a rational number.

• Radical Sign- used to indicate a nonnegative or principal square root of the expression under the radical sign.

• Principal Square Root- a nonnegative square root of a number.

Page 4: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Find each square root.

9

16 1) ± 0.0144 2)

Page 5: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

QuickTime™ and aSorenson Video 3 decompressorare needed to see this picture.

Page 6: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Types of Numbers:• Real Numbers - The set of rational numbers and

set of irrational numbers together.

• Natural Numbers- The set of numbers starting at 1,2,3…

• Integers- The set of natural numbers, and their opposites, including zero. …-2, -1, 0, 1, 2, …

• Rational Numbers - The set of numbers expressed in the form of a fractions , where a and b are integers and b 0.

€

a

b

Page 7: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Irrational Numbers-

QuickTime™ and aSorenson Video 3 decompressorare needed to see this picture.

Page 8: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Name the set or sets of numbers to which each real number belongs.

17 3)6

1 4)

169 5) 327 6) −

Page 9: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Graph each solution set.

8 7) ≤y

5 8) −>z

Page 10: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

Replace each ___ with <, >, or = to make each sentence true.

196___14 9)

9.6___48 10)

Page 11: Lesson 2-7 Square Roots and Real Numbers. Definitions: Square Root- one of two equal factors of a number. Perfect Square- A number, like 64, whose square.

greatest. least to fromorder in 25

61 and ,42. ,6 ,

5

12 Write


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

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

Square Roots and Solving Quadratics with Square Roots

Square Roots and Solving Quadratics with Square Roots

Learn to estimate square roots and solve problems using square roots.

Learn to estimate square roots and solve problems using square roots.

1.2 Square roots of non-perfect squares - VSB BLOGSblogs.vsb.bc.ca/.../10/1.2-Square-roots-of-non-perfect-squares.pdf · Find a number with a square root between 10 and 11 Math 9

1.2 Square roots of non-perfect squares - VSB BLOGSblogs.vsb.bc.ca/.../10/1.2-Square-roots-of-non-perfect-squares.pdf · Find a number with a square root between 10 and 11 Math 9

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

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

Square and Cube Roots MRS. RAUCH. How do we square a number? Can we square negative numbers?

Square and Cube Roots MRS. RAUCH. How do we square a number? Can we square negative numbers?

Chapter 2 Square Square Roots Cubes & Cubes Roots

Chapter 2 Square Square Roots Cubes & Cubes Roots

Square Roots and Cube Roots - Byju's...Perfect square : A rational number that is equal to the square of another rational number. Square number : An integer that is a square of another

Square Roots and Cube Roots - Byju's...Perfect square : A rational number that is equal to the square of another rational number. Square number : An integer that is a square of another

Square roots and cube roots

Square roots and cube roots

Chapter 1 Number - Pearson Education · ... square number square root Chapter 1 Number 4 ... the corresponding square roots. • Recall the cubes of 2 ... 1.2 Understanding squares

Chapter 1 Number - Pearson Education · ... square number square root Chapter 1 Number 4 ... the corresponding square roots. • Recall the cubes of 2 ... 1.2 Understanding squares

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

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

Intro to Number Systems; Square Roots and Cube Roots · 2019. 2. 21. · Review: Square Roots and Cube Roots When a number x can be written as the product of two equal factors, then

Intro to Number Systems; Square Roots and Cube Roots · 2019. 2. 21. · Review: Square Roots and Cube Roots When a number x can be written as the product of two equal factors, then

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

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

Square Roots and Cube Roots Name

Square Roots and Cube Roots Name

The Principle of Square Roots Let’s consider x 2 = 25. We know that the number 25 has two real-number square roots, 5 and 5, the solutions of the.

The Principle of Square Roots Let’s consider x 2 = 25. We know that the number 25 has two real-number square roots, 5 and 5, the solutions of the.

LESSON 9.2 – RATIONAL EXPONENTS - … ROOTS AND EXPONENTS Summary Square Roots When you square the square root of a number, you get back the original number. For example: 162 = 16

LESSON 9.2 – RATIONAL EXPONENTS - … ROOTS AND EXPONENTS Summary Square Roots When you square the square root of a number, you get back the original number. For example: 162 = 16

Holt square and square roots pp

Holt square and square roots pp

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

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

Squaring a Number Taking a Square Root 2 Draw a rectangle ......Square & Square Roots Objective: Students will be able to square a number and find the square root of a number. Standards:

Squaring a Number Taking a Square Root 2 Draw a rectangle ......Square & Square Roots Objective: Students will be able to square a number and find the square root of a number. Standards:

Squares and Square Roots Chat Finding Square Roots...2020/03/02  · Squares and Square Roots 3 The square root of a number is defined as follows. If 2x = a, then x is a square root

Squares and Square Roots Chat Finding Square Roots...2020/03/02  · Squares and Square Roots 3 The square root of a number is defined as follows. If 2x = a, then x is a square root