To how many significant figures should each answer be rounded? a) (6.62610^-34 Js) (2.997910^8 m/s) / 4.07010^-7 m = 4.880610663391*10^-19 J (unrounded) b) (6.02210^23 atoms/mol) (0.589 g) / 20.18 g/mol = 1.75810^22 atoms (unrounded)

Question

Mathematics

Timothy Sullivan

19 March, 19:12

To how many significant figures should each answer be rounded? a) (6.62610^-34 Js) (2.997910^8 m/s) / 4.07010^-7 m = 4.880610663391*10^-19 J (unrounded) b) (6.02210^23 atoms/mol) (0.589 g) / 20.18 g/mol = 1.75810^22 atoms (unrounded)

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Answers (1)

Know the Answer?

Makai Ware · Answer 1

a) after rounding: 4 significant figures.

b) after rounding: 3 significant figures.

Step-by-step explanation:

Significant figures are the number of needed place values for accuracy. The product or quotient of numbers with significant figures must be rounded to the least amount present within the problem.

a) (6.62610^-34 Js) (2.997910^8 m/s) / 4.07010^-7 m = 4.880610663391*10^-19 J

4.880610663391*10^-19 rounds to 4.880 * 10^-19 since the least number of significant digits is 4 within the problem.

b) (6.02210^23 atoms/mol) (0.589 g) / 20.18 g/mol = 1.75810^22 atoms

1.75810^22 rounds to 1.76 * 10^22 since the least number of significant digits within the problem is 3.