Chapter 10: Exponents & Scientific Notation STUDY GUIDE

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Chapter 10: Exponents & Scientific Notation

STUDY GUIDE & HOMEWORK PACKET

Enduring Understandings (Know these concepts to do well on the test!)

 The Laws of Exponents make sense of very large & very small numbers

Scientific Notation is a compact way of writing numbers that are very large or very small

Vocabulary (Make flash cards)

 Exponential notation

Base

 Exponent

 Power

Integer

 Whole number

 Expanded form (of decimals numbers)

Square of a number

 Cube of a number

 Equivalent fractions

Scientific Notation

 Order of Magnitude

Equations & Key Ideas (Make flash cards)

Product of Powers Property: 𝑎 𝑚 ∗ 𝑎 𝑛 = 𝑎 𝑚+𝑛

Power of a Power Property: (𝑎 𝑚 ) 𝑛 = 𝑎 𝑚𝑛

Power of a Product Property: (𝑎𝑏) 𝑚 = 𝑎 𝑚 𝑏 𝑚

 ( 𝑥 𝑦

) 𝑛 = 𝑥 𝑛 𝑦 𝑛

Quotient of Powers Property: 𝑎 𝑚 𝑎 𝑛

Zero Exponents: 𝑎 0 = 1

= 𝑎 𝑚−𝑛

 Negative Exponents: 𝑎 −𝑛 =

1 𝑎 𝑛

Our math book

Engage New York: 8

th

grade math

https://www.engageny.org/resource/grade-8-mathematics-module-1

Module 1

Supplementary Resources:

Big Ideas: www.bigideasmath.com

 Click on the green circle that says “students”

Scroll to the bottom of the page. Find “Choose program for access”: o COMMON CORE 2014 and click GO

Click the REGULAR PATHWAYS BLUE edition Big Ideas Math book o Chapter 10: Exponents & Scientific Notation

Other Websites for help:

Khan Academy: www.khanacademy.org

and search for:

 Scientific Notation

Computer with Scientific Notation

Exponent Properties

Positive and Zero Exponents

 Exponents with Negative Bases

Learn Zillion: www.learnzillion.com

and type this (the standard numbers that we are working on) into the search bar:

8.EE.1 (3 videos)

 8.EE.3 (1 video)

8.EE.4 (1 video)

Practice:

(Complete these practice problems and understand the objectives to do well on the test!)

45 minutes of homework at home. If you have WORKED for 45 minutes at home and have not finished your homework, please have your parents sign your homework with a short note saying you worked, and it will be counted as COMPLETE for 5 points.

Lesson started on

Homework due on

Lesson

Lesson 10.1:

Exponents

Lesson 10.2:

Product of Powers

Property

Objective

Write expressions using integer exponents

Evaluate expressions involving integer exponents

Multiply powers with the same base

Find a power of a power

Find a power of a product

Homework

Page 414 #1, 3-19

Page 415 #21-26

Page 420 #3-23, pg 421 #25-27

Lesson 10.3:

Quotient of

Powers Property

Lesson 10.4: Zero and Negative

Exponents

Divide powers with the same base

Simplify expressions involving the quotient of powers

Evaluate expressions involving numbers with zero as an exponent

 Evaluate expressions involving negative integer exponents

Page 426 #3-21,

Pg 427 #23-28,

#33-36

Page 432 #5-27 all

Open note quiz, yes calculators allowed

Work on page 435 #1-18 all to prepare for this quiz

Lesson 10.5:

Reading Scientific

Notation

Lesson 10.6:

Writing Scientific

Notation

 Identify numbers written in scientific notation

Write numbers in standard form

Compare numbers in scientific notation

Write large and small numbers in scientific notation

 Perform operations with numbers written in scientific notation

Lesson 10.7:

Operations in

Scientific Noations

Add, subtract, multiply, and divide numbers written in scientific notation

Open note quiz, yes calculators allowed

Work on page 454 #1-14 all to prepare for this quiz

Chapter Review Day

Chapter 10 Test: No notes, yes calculators

Pg 440 #3-23

Page 446 #3-23

Page 452 #7-24

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