Question

preform the following calculations to the proper number of significant figures.
200.0/25
1 point
your answer
128 x 200
1 point
your answer
12 x 2.0
1 point
your answer
12 x 2
1 point
your answer

Explanation:

Step1: Calculate 200.0/25

$200.0\div25 = 8.0$ (200.0 has 4 significant - figures, 25 has 2 significant - figures. In division, the result should have the same number of significant - figures as the number with the fewest significant - figures in the values used in the calculation. Here, 25 has 2 significant - figures, so the result is 8.0 with 2 significant - figures)

Step2: Calculate 128×200

$128\times200 = 25600$. 128 has 3 significant - figures and 200 is considered to have 1 significant - figure (when no decimal point is present). So the result is $2.6\times10^{4}$ (rounded to 2 significant - figures)

Step3: Calculate 12×2.0

$12\times2.0 = 24$. 12 has 2 significant - figures and 2.0 has 2 significant - figures. So the result is 24 with 2 significant - figures

Step4: Calculate 12×2

$12\times2 = 24$. 12 has 2 significant - figures and 2 has 1 significant - figure. So the result is 20 (rounded to 1 significant - figure)

Answer:

1. 8.0
2. $2.6\times10^{4}$
3. 24
4. 20