lo multiply express numbers first in scientific notation. Multiply or divide the

Question

lo multiply express numbers first in scientific notation. Multiply or divide the unit 2. and divide, number. Then, ten. An e add that to the exponent in the numerator if multiplying, add the exponents of ten, or if dividing, subtract the exponents of asy way to do this is to change the sign of the exponent of ten in the denominator and Multiplication Examples (3.2 x 103) (2.1 x 10') = 6.7 x 104 (2. x 10-4) (7 x 10°) = 14 x 10° = 1, x 106 Division Examples 9.3 x 10 6.1 x 10" = 1.5 x 10' 8 x 10-4 2x10-m = 4 x 107 Problem Set 7 OEXA3.63 x 10')x (9.4 x 10) x (4.219 x 10- 1.73 x 10 (4.860 x 10') x (1.39 x 10-4) 8.24 x 10 x (1.73x 1021224y o 3871 10.60 612a 5.63 x 106 --Dinas/Wesar. (9.84 x1022) x (3.2 x 10-12) x (4 x 10-6)= 6.36 x 10 (9.84 x 10) 6.44 x 102 (3.2 x 10-)x (4 x 10 ??: ^(6 x 10') x (4.291 x 103) 7.4 x 10-2 6.4 x 10°) x (5.47 x 10') x (6.506 x 10 2.359 x 10)x (1.8035 x 10)x (3.58 x 10') (2.44 x 1015) x (6.4533 x 106) x (6.4533 x 10) 3.568 x 1023

Explanation / Answer

Part a

(3.02*10^1)/(1.73*10^2)

= [3.02*10^(1-2)]/(1.73)

= 1.75*10^-1

Part b

(8.24*10^0)*(1.73*10^2)/(6.36*10^-4)

= [8.24*1.73*10^(0+2+4)] / (6.36)

= 2.24*10^6

Part C

(8.571*10^2)/(5.63*10^6)

= [8.571*10^(2-6)]/(5.63)

= 1.52*10^-4

Part d

(6*10^1)*(4.291*10^3)/(7.4*10^-2)

= [6*4.291*10^(1+3+2)]/(7.4)

= 3.48*10^6

Part e

(6.4*10^0)*(5.47*10^2)*(6.506*10^-2)/(3.568*10^23)

= [6.4*5.47*6.506*10^(0+2-2-23)]/(3.568)

= 6.38*10^-22

Part F

(3.63*10^4)*(9.4*10^7)*(4.219*10^-4)/(4.860*10^18)*(1.39*10^-14)

= [3.63*9.4*4.219*10^(4+7-4-18+14)]/(4.860*1.39)

= 2.13*10^4

Part g

(6.44*10^2)/(9.84*10^22)*(3.2*10^-12)*(4*10^-6)

= [6.44*10^(2-22+12+6)] /(9.84*3.2*4)

= 5.11*10^-4

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