The mass of a paperclip is 9.0 × 10−4 mg. If a box of paperclips has 6.14 × 104 paperclips, determine the total mass of the paperclips in the box. Write the final answer in scientific notation with the correct number of significant digits.

Question

a) 2.86 × 100 mg

b) 5 × 101 mg

c) 5.5 × 101 mg

d) 5.526 × 101 mg

Answer 1

To find the total mass of the paperclips in the box, we need to multiply the mass of one paperclip by the number of paperclips in the box.

Mass of one paperclip = 9.0 × 10^(-4) mg
Number of paperclips in the box = 6.14 × 10^4

Total mass of paperclips = (9.0 × 10^(-4) mg) * (6.14 × 10^4) = 5.526 × 10^(0) mg

Since the answer should be in scientific notation with the correct number of significant digits, we can round the answer to two significant digits.

Therefore, the final answer is d) 5.526 × 10^1 mg.