To how many significant figures should each answer be rounded? (6.626 times 10^-

Question

To how many significant figures should each answer be rounded? (6.626 times 10^-34 J middot s) (2.9979 times 10^8 m/s)/4.650 times 10^-7 m = 4.271846322581 times 10^-19 J (unrounded) After rounding, the answer should have 1 significant figure. 2 significant figures. 3 significant figures. 4 significant figures. 5 significant figures. (6.22 times 10^23 atoms/mol)(0.853 g)/20.18 g/mol = 2.545 times 10^22 atoms (unrounded) After rounding, the answer should have 1 significant figure. 2 significant figures. 3 significant figures. 4 significant figures. 5 significant figures.

Explanation / Answer

(a)

4.271846322581 x 10-19

Here there are 13 significant figure.

There are maximum 5 significant figures (2.9979 x 108) in the sum. Two others are each 4 significant figures.

So, answer should be of 5 significant figures.

4.2718 x 10-19

(b)

There are maximum 4 significant figures (in all the terms) in the sum.

So, answer should be of 4 significant figures.

2.545 x 1022

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