Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 1 (1.42857143 points) complete the following addition using si…

Question

question 1 (1.42857143 points)
complete the following addition using significant figures.
5.55555 x 10^5 μg + 5.55 x 10^5 μg =
what will be the units in the final answer?
μg
μg^2
none

Explanation:

Step1: Factor out the common factor $10^{5}\ \mu g$

$(5.55555 + 5.55)\times10^{5}\ \mu g$

Step2: Perform the addition inside the parentheses

$5.55555+5.55 = 11.10555$

Step3: Round to the correct number of significant figures

The number $5.55\times 10^{5}\ \mu g$ has three - significant figures. So, $11.10555\times 10^{5}\ \mu g$ rounds to $11.1\times 10^{5}\ \mu g=1.11\times 10^{6}\ \mu g$. When adding or subtracting, the result has the same number of decimal places as the number with the fewest decimal places in the values being added or subtracted.
For the units, when adding two quantities with the same unit ($\mu g$ in this case), the unit of the sum is the same as the unit of the quantities being added.

Answer:

$\mu g$