1. The following lesson is one lecture in a series of Chemistry Programs developed by Professor Larry Byrd Department of Chemistry Western Kentucky University

2. Excellent Assistance has been provided by: Ms. Elizabeth Romero Ms. Kathy Barnes Ms. Padmaja Pakala Ms Sathya Sanipina

3. CHECK TEST #1 ANSWERS Scientific Notation (Part 5)

4. 1. Give the following in scientific notation. Also, write each in correctly written computer form! A.648 = ? Step #1: 648 Step #2: 648. Step #3: 648. Step #4: 6.48 x 10 +2 Step #5: 6.48 x 10 2 Step #6: Computer form =  * Notice, that we “never” place a positive sign for the exponent in the computer form Always in step #1 on your paper rewrite the given problem just as it was given!

5. 1. Give the following in scientific notation. Also, write each in correctly written computer form! B.0.00162 = ? Step #1: 0.00162 Step #2:0.00162 Step #3:1.62 x 10 -3 Step #4: Computer Form =  Always in step #1 on your paper rewrite the given problem just as it was given!

6. 1. Give the following in scientific notation. Also, write each in correctly written computer form! C. 96,000,000 (as two significant figures) Step #1:96,000,000Given Problem Step #2:96,000,000. Step #3:9.6 x 10 +7 Step #4: 9.6 x 10 7 Step #5: Computer Form = 

7. 1. Give the following in scientific notation. Also, write each in correctly written Scientific Notation computer form! D. 30,000,000,000 x 10 -4 (as one significant figure) Step #1: 30,000,000,000 x 10 -4 Step #2: 30,000,000,000. x 10 -4 Step #3: 3 x 10 +10 x 10 -4 Step #4: 3 x 10 (+10) + (-4) Step #5: 3 x 10 +6 Step #6: 3 x 10 6 Step #7: Computer Form: 

8. 1. Give the following in scientific notation. Also, write each in correctly written Scientific Notation computer form! E.0.00468 x 10 -3 (as three significant figures) Step #1: 0.00468 x 10 -3 Step #2: 0.00468 x 10 -3 Step #3: 4.68 x 10 -3 x 10 -3 Step #4: 4.68 x 10 (-3) + (-3) Step #5: 4.68 x 10 -6 Step #6: Computer Form = 4.68E-6

9. 1.Give the following in scientific notation. Also,write each in correctly written Scientific Notation computer form! F.94.6 x 10 -4 (as three significant figures) Step #1: 94.6 x 10 -4 Given Problem Step #2: 94. 6 x 10 -4 Step #3: 9.46 x 10 +1 x 10 -4 Step #4: 9.46 x 10 (+1) + (-4) Step #5: 9.46 x 10 -3 Step #6: Computer Form = 9.46E-3

10. 2. Convert the following into conventional numbers (every-day- way-of-writing-numbers). If part of the number is in scientific notation form, then you must get all the given problem into correctly written scientific notation form before converting it back into its conventional number. A.7.82 x 10 -4 Step #1:7.82 x 10 -4 Step #2:00007.82 x 10 -4 Step #3:0.000782

11. B. 9.34 x 10 3 Step #1: 9.34 x 10 3 Step #2: 9.340 x 10 +3 Step #3: 9340 2. Convert the following into conventional numbers (every-day- way-of-writing-numbers). If part of the number is in scientific notation form, then you must get all the given problem into correctly written scientific notation form before converting it back into its conventional number.

12. C. 0.00381 x 10 -2 Step #1: 0.00381 x 10 -2 Step #2: 0.00381 x 10 -2 Step #3: 3.81 x 10 -3 x 10 -2 Step #4: 3.81 x 10 (-3) + (-2) 2. Convert the following into conventional numbers (every-day- way-of-writing-numbers). If part of the number is in scientific notation form, then you must get all the given problem into correctly written scientific notation form before converting it back into its conventional number.

13. 2. Convert the following into conventional number (every-day- way-of-writing-numbers). If part of the number is in scientific notation form, then you must get all the given problem into correctly written scientific notation form before converting it back into its conventional number. Step #5: 3. 81 x 10 -5 Now you convert 3.81 x 10 -5 back into its convention number form Step #6: 000003. 81 x 10 -5 Step #7: 0.0000381

14. 3.Use scientific notation to work the following problems: "Do" all work in scientific notation! Give "ALL" answers in scientific notation! You cannot do any steps-in-your-head ! You must show every step you use on your sheet of paper! A. (6.20 x 10 -2 ) (3.00 x 10 -1 ) = ? [A nswer as 3 significant figures] Step #1: (6.20 x 10 -2 ) (3.00 x 10 -1 ) Given problem Step #2: (6.20) (3.00) x 10 -2 x 10 -1 Collect Similar Terms Step #3: 18.600 x 10 (-2) + (-1) Next, Round-off Step #4: 18.6 x 10 -3 Important Note: If one part of the problem is given as a fraction then all parts must be converted into fraction forms and then treat it as a large fraction.

15. 3.Use scientific notation to work the following problems: "Do" all work in scientific notation! Give "ALL" answers in scientific notation! You cannot do any steps-in-your-head ! You must show every step you use on your sheet of paper! Step #5: 1.86 x 10 +1 x 10 -3 Step #6: 1.86 x 10 (+1) + (-3) Step #7: 1.86 x 10 -2 Step#8:ComputerForm=1.86E-2 Important Note: If one part of the problem is given as a fraction then all parts must be converted into fraction forms and then treat it as a large fraction.

16. B. (0.514 x 10 -3 )(4.20 x 10 3 ) (answer as 3 significant figures) Step #1:[ 0.514 x 10 -3 ] [ 4.20 x 10 3 ] Given Problem Step #2:[ 0.514 x 10 -3 ] [ 4.20 x 10 +3 ] You must get each part first into Scientific Notation Step #3:( 5.14 x 10 -1 x 10 -3 ) ( 4.20 x 10 +3 ) Step #4: ( 5.14 x 10 (-1)+(-3) ) ( 4.20 x 10 +3 ) Step #5:( 5.14 x 10 -4 ) ( 4.20 x 10 +3 ) Step #6:( 5.14 ) ( 4.20 ) x 10 -4 x 10 +3 Collect similar terms Step #7:21.588 x 10 (-4) + (+3) Round-off and add exponents algebraically 3.Use scientific notation to work the following problems: "Do" all work in scientific notation! Give "ALL" answers in scientific notation! You cannot do any steps-in-your-head ! You must show every step you use on your sheet of paper!

17. Step #8:21.6 x 10 -1 Step #9:2.16 x 10 +1 x 10 -1 Step #10:2.16 x 10 (+1)+(-1) Step #11: 2.16 x 10 0 Step #12:2.16 Step #13: Computer form = 2.16 3.Use scientific notation to work the following problems: "Do" all work in scientific notation! Give "ALL" answers in scientific notation! You cannot do any steps-in-your-head ! You must show every step you use on your sheet of paper!

18. 3.Use scientific notation to work the following problems: "Do" all work in scientific notation! Give "ALL" answers in scientific notation! C. (124,000) (48.1) (12.0) (1.00) (Answer as 3 significant figures) Step #1: (124,000) (48.1) (12.0) (1.00) Given Problem Step #2: (1.24 x 10 +5 ) (4.81 x 10 +1 ) (1.20 x 10 +1 ) (1.00) Step #3: (1.24) (4.81) (1.20) (1.00) x 10 +5 x 10 +1 x 10 +1 Multiply first parts and then add the exponents algebraically. Step #4: 7.15728 x 10 (+5) + (+1) + (+1) Next, Round-off ! Step #5: 7.16 x 10 +7 Step #6: 7.16 x 10 7 Step #7: Computer Form = 7.16E7 3.Use scientific notation to work the following problems: "Do" all work in scientific notation! Give "ALL" answers in scientific notation! You cannot do any steps-in-your-head ! You must show every step you use on your sheet of paper!

37. YOU HAVE COMPLETED JUST PART –V OF SCIENTIFIC NOTATION