question 3 (1.666666667 points)\ncomplete the following subtraction using significant figures. 5.55555 x…
question 3 (1.666666667 points)\ncomplete the following subtraction using significant figures. 5.55555 x 10^5 μg - 5.55 x 10^5 μg =\nwhat is the largest uncertainty in the two numbers? (select two different answers __1__ and __2__ in the order given in the answers)\na. +/- 0.00001 x 10^5 μg\nb. +/- 0.01 μg\nc. +/- 0.01 x 10^5 μg\nd. +/- 1 x 10^3 μg
Answer
Explanation:
Step1: Perform the subtraction
[ \begin{align*} 5.55555\times 10^{5}\ \mu g-5.55\times 10^{5}\ \mu g&=(5.55555 - 5.55)\times 10^{5}\ \mu g\ &=0.00555\times 10^{5}\ \mu g\ & = 555\ \mu g \end{align*} ]
Step2: Analyze uncertainties
For the number (5.55555\times 10^{5}\ \mu g), the uncertainty is (\pm0.00001\times 10^{5}\ \mu g). For the number (5.55\times 10^{5}\ \mu g), the uncertainty is (\pm0.01\times 10^{5}\ \mu g = \pm1\times 10^{3}\ \mu g). The larger uncertainty is (\pm0.01\times 10^{5}\ \mu g=\pm 1\times 10^{3}\ \mu g).
Answer:
C. (\pm0.01\times 10^{5}\ \mu g), D. (\pm1\times 10^{3}\ \mu g)