Physics for Scientists and Engineers 3E by R. Knight, P1.29

Compute the following numbers, applying the significant figure rule adopted in this textbook.

a. \displaystyle 12.5^3

b. \displaystyle 12.5\times 5.21

c. \displaystyle \sqrt{12.5}-1.2

d. \displaystyle 12.5^{-1}

Solution:

Part a

\displaystyle \left(12.5\right)^3=1.95\times 10^3         ☚

Part b

\displaystyle 12.5\times 5.21=65.1         ☚

Part c

\displaystyle \sqrt{12.5}-1.2=3.54-1.2=2.3          ☚

Part d

\displaystyle 12.5^{-1}=\frac{1.00}{12.5}=0.0800=8.00\times 10^{-2}          ☚