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Perform this operation solving for x. Give answer to the proper number of significant figures.

x=0.01953 cm + (7.32 x 10^-3 m)

1 Answer

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Answer: x = 0.752cm or 0.00752m

Step-by-step explanation:

There are two ways to do this. The first is converting the number in meters (m) to centimeters (cm) and then adding. The second is converting the number in centimeters (cm) to meters (m) and then adding.

Way 1:

0.00732m * (100cm / 1m) = 0.732cm

0.01953cm + 0.732cm = 0.75153

With addition, the amount of significant figures for the answer is the same number of significant figures as the limiting one (or, in other words, the one with the least number of significant figures). In this case, 0.732cm has 3 significant figures and 0.01953cm has 4. This means that the answer has 3 significant figures.

So with significant figures, 0.75153cm = 0.752cm

Way 2:

0.01953cm * (1m / 100cm) = 0.0001953m

0.0001953m + 0.00732m = 0.0075153m

With significant figures, 0.0075153m = 0.00752m

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