Write each answer with the correct number of significant figures.

(a)1.0+2.1+3.4+5.8=12.3000

(b) 106.9 - 31.4 = 75.5000

(c)107.868(2.113×102)+(5.623×103)=5519.568

(d)(26.14/37.62)×4.38=3.043413

(e(26.14/37.62×108)×(4.38×10-2)=3.043413×10-10

(f)(26.14/3.38)+4.2=4.5999

(g)log(3.98×104)=4.5999

(h)10-6.31=4.89779×10-7

Short Answer

Expert verified

a) 12.3

b) 75.5

c)5.520×103

d) 3.04

e)3.04×10-10

f) 11.9

g) 4.600

h)role="math" localid="1663324058547" 4.9×10-7

Step by step solution

01

Definition of significant figure

In positional notation, significant figures are digits in a number that are dependable and essential to express the quantity of something.

02

Determine the significant figures

(a) 1.0+2.1+3.4+5.8=12.3000=12.3

(b) 106.9 - 31.4 = 75.5000 = 75.5

(c) 107.868(2.113×102)+(5.623×103)=5519.568=5.520×103

(d) (26.14/37.62)×4.38=3.043413=3.04

(e)(26.14/(37.62×108))×(4.38×10-2)=3.043413×10-10=3.04×10-10

(f)(26.14/3.38)+4.2=4.5999=11.9337=11.9

(g) log(3.98×104)=4.5999=4.600

(h) 10-6.31=4.89779×10-7=4.9×10-7

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