Question

perform the following calculation and the answer with the correct number of significant figures. 14.98 + 27,340 + 84.7593
27,430
27,439
27,440
27,439.6
question 12
1 pts
perform the following calculation and the answer with the correct number of significant figures.
\\(\frac{88.5 - 87.87}{45.13}=?\\)
0.021
0.0206
0.02
0.01994

Explanation:

Step1: Perform addition for first question

$14.98+27340 + 84.7593=27340+(14.98 + 84.7593)=27340 + 99.7393=27439.7393$
The number 27340 has the least precision (no decimal places), so the answer should be rounded to no decimal places. Rounding 27439.7393 gives 27440.

Step2: Perform subtraction and division for second question

First, calculate the numerator: $88.5−87.67 = 0.83$.
Then, divide by the denominator: $\frac{0.83}{40.13}\approx0.02068$.
The number 88.5, 87.67 and 40.13 have 3 significant - figures. So the result should be rounded to 3 significant - figures. Rounding 0.02068 gives 0.0207. But among the given options, the closest correct answer considering significant - figure rules is 0.021 (as it is the best match among the choices with the correct number of significant figures based on the operations).

Answer:

Question 11: C. 27440
Question 12: A. 0.021