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         Basic Skills Quiz #4




                                1
Basic Skills Quiz #4
1.) Add and write your answer in simplest form.

                 3
            1
                 4
                      +   4
                              1
                              5

 2.) Complete the following decimal operation.

                1.95 ÷ 1.3

 3.) What is the Least Common Multiple of 5 and 8?


 4.) Solve the following equation.

                         x
                     5 =
                         12
 5.) Round the following to the nearest hundredth.


                 185.2486




                                                     2
Division of Powers                   Factored Form
                     Factored Form
with the same base                   written as a power




                                                          3
Division of Powers                    Factored Form
                      Factored Form
with the same base                    written as a power


                     8•8•8•8•8




                                                           4
Division of Powers                              Factored Form
                           Factored Form
with the same base                              written as a power


                         8•8•8•8•8

                            8•8•8




                     What is 8 divided by 8?

                      What operation does a
                      fraction bar represent?


               How can we simplfy the factored form?




                                                                     5
Division of Powers                    Factored Form
                      Factored Form
with the same base                    written as a power


                     8•8•8•8•8
                       8•8•8




                                                           6
Division of Powers                          Factored Form
                        Factored Form
 with the same base                          written as a power


                      8•8•8•8•8

                         8•8•8

1.) Describe any relationships you can find between the
Division of Powers with the same base column and the
Factored Form written as a power column.



2.) Using the relationships you found, create a rule that
would allow you to simplify the expression,    , without first
writing the factored form.




                                                                  7
LAW OF EXPONENTS FOR DIVISION:
Dividing Powers with the Same Base:




                                      8
Think-Pair-Share Activity:
      Simplify each expression.




A.)                B.)




C.)                 D.)




                                   9
e.)    a7 b3   f.)    4x6
        ab2           2x3




g.)   9y5      h.) 12x7y4
      3y2            3xy2




                            10
Find the length of the missing side.



           Area = 8y5          2y2




              Area = 15x3


                 3x




                                       11
Extra Examples




                 12
Before You Leave

Explain why the following example cannot be
simplified using the Law of Exponents for Division.


                      45
                      33




                                                      13
Mr. Tjersland's Math 7




Homework: Homework Sheet




                                 14
AIM: Laws of Exponents




     12x7y4
      3xy2




                         15
Attachments



     Cumulative Review Sheet 4.doc

     Math in the News Project Outline.doc

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Day 4 law of exponents div

  • 1. AIM: Write and Solve Inequalities Do Now Basic Skills Quiz #4 1
  • 2. Basic Skills Quiz #4 1.) Add and write your answer in simplest form. 3 1 4 + 4 1 5 2.) Complete the following decimal operation. 1.95 ÷ 1.3 3.) What is the Least Common Multiple of 5 and 8? 4.) Solve the following equation. x 5 = 12 5.) Round the following to the nearest hundredth. 185.2486 2
  • 3. Division of Powers Factored Form Factored Form with the same base written as a power 3
  • 4. Division of Powers Factored Form Factored Form with the same base written as a power 8•8•8•8•8 4
  • 5. Division of Powers Factored Form Factored Form with the same base written as a power 8•8•8•8•8 8•8•8 What is 8 divided by 8? What operation does a fraction bar represent? How can we simplfy the factored form? 5
  • 6. Division of Powers Factored Form Factored Form with the same base written as a power 8•8•8•8•8 8•8•8 6
  • 7. Division of Powers Factored Form Factored Form with the same base written as a power 8•8•8•8•8 8•8•8 1.) Describe any relationships you can find between the Division of Powers with the same base column and the Factored Form written as a power column. 2.) Using the relationships you found, create a rule that would allow you to simplify the expression, , without first writing the factored form. 7
  • 8. LAW OF EXPONENTS FOR DIVISION: Dividing Powers with the Same Base: 8
  • 9. Think-Pair-Share Activity: Simplify each expression. A.) B.) C.) D.) 9
  • 10. e.) a7 b3 f.) 4x6 ab2 2x3 g.) 9y5 h.) 12x7y4 3y2 3xy2 10
  • 11. Find the length of the missing side. Area = 8y5 2y2 Area = 15x3 3x 11
  • 13. Before You Leave Explain why the following example cannot be simplified using the Law of Exponents for Division. 45 33 13
  • 14. Mr. Tjersland's Math 7 Homework: Homework Sheet 14
  • 15. AIM: Laws of Exponents 12x7y4 3xy2 15
  • 16. Attachments Cumulative Review Sheet 4.doc Math in the News Project Outline.doc