Question

complete the following addition using significant figures. 5.55555×10^5 μg + 5.55×10^5 μg =
what is the largest uncertainty in each of the two numbers? (select two different answers in the order given 1 and 2)
a. +/- 0.00001×10^5 μg
b. +/- 0.01 μg
c. +/- 0.01×10^5 μg
d. +/- 1×10^3 μg

Explanation:

Step1: Determine uncertainty of first number

The number $5.55555\times 10^{5}\ \mu g$ has the last - significant digit in the hundred - thousandths place of the coefficient. The uncertainty is $\pm0.00001\times 10^{5}\ \mu g$.

Step2: Determine uncertainty of second number

The number $5.55\times 10^{5}\ \mu g$ has the last - significant digit in the hundredths place of the coefficient. The uncertainty is $\pm0.01\times 10^{5}\ \mu g$.

Answer:

1. A. $+/- 0.00001\times 10^{5}\ \mu g$
2. C. $+/- 0.01\times 10^{5}\ \mu g$