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which of the following is the answer with the correct number of signifi…

Question

which of the following is the answer with the correct number of significant figures: $\frac{28.9}{13.893} = $?
2.0766
2.08
2.077
2.07

question 10
1 pts
perform the following calculation and the answer with the correct number of significant figures.
0.147 + 0.0066 + 0.012 =?
0.165
0.17
0.166
0.1656

Explanation:

Step1: Calculate $\frac{28.9}{13.863}$

$28.9\div13.863\approx2.08468$
The number 28.9 has 3 significant - figures and 13.863 has 5 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. So the result should have 3 significant - figures. Rounding 2.08468 to 3 significant - figures gives 2.08.

Step2: Calculate $0.147 + 0.0066+0.012$

$0.147+0.0066 + 0.012=0.1656$
In addition, the result should be rounded to the same number of decimal places as the number with the fewest decimal places among the values used in the calculation. 0.147 and 0.012 have 3 decimal places and 0.0066 has 4 decimal places. So we round 0.1656 to 3 decimal places, which gives 0.166.

Answer:

Question: $\frac{28.9}{13.863}$