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Waugh Sheet #3 (Modified Fall 2012)

Multiplication, Division, Addition and Subtraction with Significant Figures

Rules:

1.      Remember the order of operation!!  

Example #1:  (6.198 x 10-15  cm2  +  7.11 x 10-13 cm2) / 600 cm = ___?___

 

  1st perform the operation in parenthesis: 

6.198 x 10-15 cm2  +  7.11 x 10-13 cm2 =

6.198 x 10-15 cm2  +  711 x 10-15 cm2 =

717.198 x 10-15 cm2

(keep at least 1 more digit than needed for precision)

(underline the significant digits)

 

2nd perform the division:

717.198  x 10-15 cm2 / 600 cm =  1.19533x 10-15 cm  =  1 x 10-15 cm

                                                    (Report only 1 significant digits)      

                                                   Reported Answer = 1 x 10-15 cm

 

 

Directions:  Perform the following operations and report your answers in SCIENTIFIC NOTATIONPROVE ALL work NEATLY ON A SEPARATE SHEET OF PAPER that is STAPLED TO THIS SHEET or your points are VOID. 

 

Problem

Answer

#1

(12. 71 - 2.0)  / 34   =   

3.2 x 101

#2

1.64 x 10-4 x (1.2 x 102  + 2.11 x 103)  =  

3.66 x 101

#3

(7.07 x 10-4 + 6.51 x 10-2 )   =

              2.02 x 104

3.26  x 106

#4

16.4 x 3.1416   =

5.15 x 101

#5

(6.92 + 7.60 + 400) / 825 =

5  x 101

#6

(280 x 1023 pm3  +  9.8 x 1022 pm3) / (800 + 20)=

3 x 1022  pm3

#7

(8. 220 x 103 dm x 6.00 x 105 dm) / 1200 =

4.1 x 106 dm2

#8

(7.893 x 105 Mm3 / 8900 Mm) 27.3  = 

6.1 x 101  Mm2

#9

12.387 x 103 fm / (1600 + 860)  =

5.0 x 100 fm

#10

9.9987 x 102 dg    (200 +  270)  

2 x 100  dg