Exponents & Scientific Notation

Introduction

There are a variety of ways to write numbers using symbols and exponents.  This webquest will help you understand why we use these symbols and expoents to write numbers in scientific notation.  You will gain insight into a Scientific Notation, as well as postive and negative exponents!! 

 

Task

Your job is to work with a partber to use this webquest to complete a series of activities.  You need to answer all of the required questions and participate in all assigned games.  All requested answers need must be written on the provided answer sheet by EACH student.

HAVE FUN!!!

 

Process

Activity 1: 

Click the following link to play the Alien Exponents Game.

  • 10 Rounds on Level 1
  • 10 Rounds on Level 2
  • 10 Rounds on Level 3

Activity 2: 

Refer to the following website to answer the following questions: 

  • What is any number raised to the zero power?
  • What is any number raised to the power of one? 
  • What is the multiplication rule of exponents? 
  • What is the division rule of exponents? 

Link 


Activity 3:

Complete 8 Multiplication of Exponents Questions.  Record Questions and Answers on provided worksheet. 

Multiplication of Exponents: link

Complete # 1 - 10 on the link below.  These questions will practice Division of Exponents.  Record Questions and Answers on provided worksheet. 

Division of Exponents: Link


Activity 4:  

Read about Negative Exponents on the provided website the complete the 10 questions at the bottom of the page on the provided worksheet. 

Link 


Activity 5: Watch the following video: How to Write Large Numbers in Scientific Notation

Browse the internet for the following information.

  • The population of New Jersey.
  • The Speed of Light.
  • The number of cells in the human body.
  • The amount of money a celebrity paid for his/her house.
  • The total amount of money a person won playing the lottery.

Write these numbers in scientific notation on the provided worksheet.  

Answer the following question:  Explain/Describe what steps were taken to change the number from standard form to scientific notation.


Activity 6:  

Watch the following video: How to Write Small Numbers in Scientific Notation

List the following numbers in order from least to greatest then write the numbers in scientific notation.  

1,200,000,000

11,900,000

1,050,000,000

80,000,000

203,000,000,000

9,800,000

60,510,000

27,000,000,000

0.000003

0.00000612

0.000054

0.00000036

0.0000409

0.00006296

0.0000000367

0.00000067

 

After you write the numbers in scientific notation, write three TRUE inequalities on the provided worksheet.  Watch the following videos to help you compare!

Large Numbers: Link 

Small Numbers: Link 

(i.e 2.001x106 > 5.962x10-2)


Activity 7:  Using the provided websites, look up the distance from each planet to the sun (Use the average distance for each).  Write these numbers in standard from and scientific notation then order them from least to greatest on the provided worksheet.  

Link to find each planets distance from the Sun


Activity 8:   Go to the "Converting Large Numbers" website (link below). Answer as many as you can in 60 seconds and record your score on the activity sheet.

Link for Converting Large Numbers


Activity 9:  Go to the "Converting Small Numbers" website. Answer as many as you can in 60 seconds and record your score on the activity sheet.

Link for Converting Small Numbers



Evaluation

The webquest will be graded as a project.

The WebQuest Worksheet must be handed in by the assigned due date.

 

Conclusion


Congratulations!!

You've completed the WebQuest on Exponents & Scientific Notation.  I hope you've learned a lot about the concepts throughout this activity.  

You now know how to evaluate exponents both positive and negative and convert from standard form to scientific notation among many other things! I hope you gained a lot of insight into the importance of scientifc notation and how it is beneficial in Mathematics!  

Teacher Page

[img_assist|nid=14297|title=Math|desc=|link=none|align=center|width=640|height=360]

Created by Ms. Wojcik

Below is the document students used to complete this webquest.

Activity # 1: Alien Exponents Game

Activity # 2: Answer the following questions

  1. What is any number raised to the zero power? _______
  2. What is any number raised to the power of one? _______

 What is the multiplication rule of exponents? ________________________________________________________________________________________________________________________________________________________________________________________________________

What is the division rule of exponents? ________________________________________________________________________________________________________________________________________________________________________________________________________

Activity # 3: Complete the Multiplication and Division of Exponents Questions

Multiplication of Exponents

1.

2.

3.

4.

5.

6.

7.

8.

Division of Exponents

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Activity # 4: Negative Exponent Questions

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

 Activity # 5: Browse the internet for the following information.  Write each number in standard form and scientific notation.

 

Standard Form

Scientific Notation

The population of New Jersey

 

 

 

The Speed of Light

 

 

 

The number of cells in the human body

 

 

The amount of money a celebrity paid for his/her house

 

 

The total amount of money a person won playing the lottery

 

 

 

Answer the following question: Explain/Describe what steps were taken to change the number from standard form to scientific notation.

______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

Activity # 6: List the numbers in order from least to greatest then write the numbers in scientific notation.

Least to Greatest

Scientific Notation

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

 

  

 

  

 

 

 

  

 

  

 

 

Write three TRUE inequalities below.

1. ____________________________

2. ____________________________

3. ____________________________

 

Activity # 7: Using the provided websites, look up the distance from each planet to the sun (Use the average distance for each).  Write these numbers in standard from and scientific notation then order them from least to greatest on the provided worksheet.  

Planet

Standard Form

Scientific Notation

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Planets from Least to Greatest

 

 

 

 

 

 

 

 

 

 

Activity # 8: Converting Large Numbers

# Correct: ____________       # Completed: ____________    Score: ____________

 

Activity # 9: Converting Small Numbers

# Correct: ____________       # Completed: ____________    Score: ____________