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Carry out the following arithmetic operations. (Enter your answers to the correct number of significant figures.)

(a) the sum of the measured values 533, 33.8, 0.80, and 9.0

(b) the product 0.0053 ✕ 415.7

(c) the product 16.90 ✕ π

User DrPizza
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1 Answer

5 votes

Answer:

(a) Sum = 580

(b) Product = 2.2

(c) Product ≈ 52.98

Step-by-step explanation:

Sure, I'd be happy to help you with these arithmetic operations while considering the correct number of significant figures:

(a) Sum of the measured values:

533 + 33.8 + 0.80 + 9.0 = 576.6

Since the value with the fewest decimal places is "9.0" (2 significant figures), the final answer should also be rounded to 2 significant figures:

Sum = 580

(b) Product of 0.0053 and 415.7:

0.0053 * 415.7 = 2.20621

The value with the fewest significant figures is "0.0053" (2 significant figures), so the final answer should also be rounded to 2 significant figures:

Product = 2.2

(c) Product of 16.90 and π (pi):

16.90 * π ≈ 52.98209022

Since the value of π is considered exact and the value "16.90" has 4 significant figures, the final answer should be rounded to 4 significant figures:

Product ≈ 52.98

So, the results are:

(a) Sum = 580

(b) Product = 2.2

(c) Product ≈ 52.98

User Hamed MP
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7.7k points