4 5 Scientific Notation Objective To solve problems

4: 5 Scientific Notation Objective - To solve problems involving scientific notation Scientific Notation- used to write very large or very small numbers expressed in the form. . . Examples: 3, 780, 000, 000 = 12 jumps left 0. 00000064 = 7 jumps right Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 1

Large Numbers 46, 000 = 7 jumps left 620, 000, 000 = 11 jumps left Small Numbers 0. 000538 = 4 jumps right 0. 000004 = 6 jumps right 2 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Write using scientific notation. 1) 63, 000 4) 0. 00087 4 jumps left 4 jumps right 2) 7, 245, 000 5) 0. 0000653 3) 50, 000, 000 6) 0. 0000002 6 jumps left 10 jumps left 5 jumps right 7 jumps right 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Write each number in standard form. 1) 4) 3. 60000003. 41 360, 000 2) 00000008. 43 0. 000000843 3) 2. 640000000 2, 640, 000 0. 00000341 5) 40000 400, 000 6) 0000007 0. 000007 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 4

Scientific Calculators Enter: 2. 4 60, 000 11 4, 000 means or 240, 000, 000 5 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Multiply using a scientific calculator and write answer in scientific notation. 1) 2000 80, 000 2) 4, 000 3) 62, 000 5, 000 4, 900, 000 6 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Multiplying with Scientific Notation Multiply. (2. 1)(1. 5) 7 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Multiplying with Scientific Notation Multiply. (5. 63)(3. 4) larger smaller Not in Scientific Notation 8 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Multiply. 1) 3) larger smaller 2) 4) larger smaller 9 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Dividing with Scientific Notation Divide. = = = 10 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Dividing with Scientific Notation Divide. = = = smaller larger Not in Scientific Notation = 11 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Divide. 1) = 2) = smaller larger 12 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series