Upload File

evaluating algebraic expressions 4-2 integer exponents simplify each expression – write out to...

  • Home
  • Documents
  • Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie
16
Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. ¿ · ∙ ∙ 1. 2. 3. 4. Activating Prior Knowledge – Notes Tie to LO 2 ¿ · ∙ ⋅ ¿ ¿ · ∙ · · ∙ · ¿ ¿ ¿ · · ⋅ ⋅ ¿

Upload: dylan-carter

Post on 18-Jan-2016

218 views

Category:

Documents


0 download

Report

Tags:

TRANSCRIPT

Page 1: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

Simplify each expression – write out to find the quotient.

¿𝟐 ·𝟐 ∙𝟐𝟐 ∙𝟐

1. 2.

3. 4.

Activating Prior Knowledge – Notes

Tie to LO

2 ¿𝟓 ·𝟓 ∙𝟓⋅𝟓

𝟓 ¿𝟓𝟑

¿𝒚 · 𝒚 ∙ 𝒚 · 𝒚𝒚 · 𝒚 ∙ 𝒚 · 𝒚

¿ 𝒚𝟎

¿𝟏

¿𝒙 · 𝒙 · 𝒙 ⋅𝒙 ⋅𝒙

𝟏 ¿ 𝒙𝟓

Page 2: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer ExponentsLearning Objective

Today, we will simplify expressions with

negative exponents and apply exponent

properties.

CFU

Page 3: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

x–3

Ex 2 - Simplify.

Concept Development – Notes #3

CFU

x–3 =

𝒙𝟐

𝒙𝟓= 𝒙 · 𝒙𝒙 ⋅𝒙 ∙ 𝒙 ∙ 𝒙 ∙ 𝒙

= =

Or

Page 4: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

Simplify the powers of 10.

6. 10–9

10–9 =

Skill Development/Guided Practice – Notes #6 & 7

CFU

7. z–4

z–4

Page 5: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

a. 10–3 Write the power under 1; change the sign of the exponent.

Skill Development/Guided Practice - Whiteboard

Simplify the powers of 10.

10–3

b. r–2

CFU

=

r–2

Page 6: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

8. 9

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Notes #8 & 9

CFU

𝟏

Page 7: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

c. d

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Whiteboard

CFU

Page 8: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

10. 11.

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Notes #10 & 11

CFU

𝟏𝒃𝟏𝟎

Page 9: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

e. f.

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Whiteboard

CFU

𝟏

Page 10: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

12.

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Notes #12 & 13

CFU

= 13.

=

= =

=

Page 11: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

g.

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Whiteboard

CFU

=

h. =

=

=

=

=

Page 12: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

14.

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Notes #14 & 15

CFU

=

15.

=

= =

= =

Page 13: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

i. j.

Simplify each expression. Write your answer in exponential form.

Skill Development/Guided Practice – Whiteboard

¿𝒉𝟎 (−𝟑)×𝟕(−𝟐) (−𝟑)

CFU

¿3(1)− 2⋅𝑣 (3)− 2

¿𝒉𝟎𝟕𝟔

=¿3−2 ⋅𝑣−6

=

Page 14: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

Write an equivalent expression, in exponential notation, to the one given and simplify as much as possible.

Independent Practice – Module page S.18

CFU

About 4 minutes and then we will review.

5.

6.

7.

8.

9.

10.

1

53

8−9

3

24

1

𝑥3

𝑥− 9

𝑥𝑦4

Page 15: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

11.

Write an equivalent expression, in exponential notation, to the one given and simplify as much as possible.

Independent Practice – Module pg. S.19

CFU

12.

192−5

19− 3

1

193

1716−(− 3)

1719

Page 16: Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression – write out to find the quotient. Activating Prior Knowledge – Notes Tie

Evaluating Algebraic Expressions

4-2 Integer Exponents

1. What did we learn today?

Closure - Notes

2. Why is this important to you?

4. Simplify

3. How do I simplify a negative exponent?

5. Simplify

CFU

6. Solve for z


8-5: DIVISION PROPERTIES OF EXPONENTS · 8-5: DIVISION PROPERTIES OF EXPONENTS Lesson Objectives: • Divide powers with the same base • Raise a quotient to a power PROPERTY: DIVIDING

Activating and de-activating Ras

Laws of Exponents (with negative exponents)

Properties of Exponents Product of Powers Power of a Power Power of a Product Negative Exponents Zero Exponent Quotient of Powers Power of a quotient

PENGARUH ADVERSITY QUOTIENT, EMOTIONAL QUOTIENT, …

Unit 4 Exponents and Exponential Functionsaabels.weebly.com/uploads/8/6/5/7/86579230/a1_u4_packet.pdf6 Division Properties of Exponents 1. Quotient of Powers Property Expand and Simplify:

Chapter 1 Exponents (Laws of Exponents)

Weeblykimmathclass.weebly.com › uploads › 5 › 7 › 5 › 8 › 57589865 › 8b_l5_ … · Negative Exponents: product of powers The and the quotient of powers rules can be

4.1 Use Properties of Exponents · 5 Simplify exponents. 5 Zero exponent property 5 Negative exponent property b. 1a 24} b2 2 2 5 Power of a quotient property 5 Power of a power property

7-4 Division Properties of ExponentsDivision Properties of Exponents The Quotient of Powers Property can be used to divide terms with exponents. m n a a = am – n (a 0, m and n are

1. 4. b INTRO TO EXPONENTS › cms › lib › CA01902308 › Centricity › Do… · Power of a Quotient When raising a quotient to a power, distribute the exponent to both the numerator

mrwumath.weebly.commrwumath.weebly.com/uploads/2/1/2/7/21275568/im3_1.4.pdf · Topic: Properties of exponents 59 Functions and their Inverses Use the product rule or the quotient

The Product, Quotient, and Power Rules for Exponents...Quotient rule for exponents Example: p 8 p3 = p8-3 = p5 RULES FOR EXPONENTS If m, n, and k are positive integers, then: 3. Power

Emotional Quotient Versus Intelligence Quotient

The Mathematics of Exponents and Polynomials Teaching Tips: … · 2017-05-23 · In the same way, demonstrate why quotient, product, and power rules work (and make calculations much

Exponents 2 - Cuyamaca College · Raising a quotient to a power (ab) n= a b Raising a Product to a power The Power Rule (a m) n = a mn The Quotient Rule The Product Rule a m · a

EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific

VUCA World - itd.or.th · CQ (Creativity Quotient) 4. MQ (Moral Quotient) 5. OQ (Ownership Quotient) 6. AQ (Adversity Quotient) 7. SQ (Social Quotient) Leader Intelligence. Paradigm

Using Student-Response Systems in Entry-Level College ... · Use the product, quotient, zero exponent, negative exponent, power, and special product rules for exponents in order to

Loudoun County Public Schools / OverviewüKidSmartEducatjon.com YOUR PERSONAL LINK TO SUCCESS Period: Name: Exponents - Product & Quotient Rule Section I. Simplify. Use the product

Laws of Exponents. Day 1: Product and Quotient Rules EXP 1.1 I can use the Product and Quotient Rules to simplify algebraic expressions

HAPPINESS QUOTIENT What's your happiness quotient???

Standard G: Exponents Lesson 2 Product & Quotient To A ... · Quotient to a Power: If you have a quotient of multiple exponential expressions all being raised to a power, usually

Exponential Notation Product/Quotient Rules Power Rule Zero/Negative Exponents Squares and Cubes 100 200 300 400 100 200 300 400 100 200 300 400 100 200

Pragmatic Quotient Types in Coq - PagesPersoquot_class:quot_class_ofTquot_sort} An instance of the quotient interface is called a quotient structure. (Altenkirch et al.: de nable quotient)

Exponents and RootsExponents and Rootsmathwithmrbarnes.weebly.com/uploads/1/1/2/1/... · 4A Exponents 4-1 Exponents 4-2 Integer Exponents 4-3 Properties of Exponents 4-4 Multiplying

Section 5.2 Quotient Rule and Zero Exponents. 5.2 Lecture Guide: Quotient Rule and Zero Exponents Objective: Use the quotient rule for exponents

Laws of Exponents Let’s dig deep into our memories and try to remember the laws of exponents. Product Rule Quotient Rule It’s all coming back now. I remember

Section 4.1 The Product, Quotient, and Power Rules for Exponents

The Children’s Empathy Quotient and Systemizing Quotient ...docs.autismresearchcentre.com/papers/2009_Auyeung_etal_ChildEQS… · The Children’s Empathy Quotient and Systemizing

Grade 9 Math Module 4 - Zero Exponents, Negative Integral Exponents, Rational Exponents, and Radicals

I can apply the laws of exponents to simplify expressions ... · 8.EEI.1 - Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product

Standard G: Exponents Lesson 1 Product & Quotient Rules ......Lesson 1 Product & Quotient Rules Warm-Up: Without the use of a calculator, evaluate the following expression given the

INTELLIGENCE QUOTIENT, EMOTIONAL QUOTIENT, SPIRITUAL ...peaklearning.com/documents/PEAK_GRI_Villagonzalo.pdf · intelligence quotient, emotional quotient, spiritual quotient, and

Chapter 9: Exponents, Exponents & More Exponents