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2. please do the following calculations and round your answer to the co…

Question

  1. please do the following calculations and round your answer to the correct number of significant figures. include a unit in your answer.

a. 83.44 g ÷ 22 ml =
b. 50.000 m × 2.0 m =
c. 6.72 mg + 0.29 mg =

Explanation:

Step1: Solve part a

Perform division and consider significant - figures.
$83.44\ g\div22\ mL=\frac{83.44}{22}\ g/mL\approx3.8\ g/mL$ (2 significant figures as 22 has 2 significant figures)

Step2: Solve part b

Multiply the values.
$50.000\ m\times2.0\ m = 100.00\ m^{2}\approx1.0\times10^{2}\ m^{2}$ (2 significant figures as 2.0 has 2 significant figures)

Step3: Solve part c

Add the values and consider significant - figures for addition.
$6.72\ mg + 0.29\ mg=(6.72 + 0.29)\ mg=7.01\ mg$

Answer:

a. $3.8\ g/mL$
b. $1.0\times10^{2}\ m^{2}$
c. $7.01\ mg$