Question

2. Report each of the following quantities to 3 significant figures. Use standard notation if possible, or

Answer 1

Answer:

a. 86,942  = 8.69x10⁴

f. 56,018  = 5.60x10⁴

b. 0.00621875  = 6.22x10⁻³

g. 0.003870  = 3.87x10⁻³

c. 107062.03  = 1.07x10⁵

h. 15.9994  = 16.0

d. 4.00049  = 4.00

i. 12.011  = 12.0

e. 96  = 9.60x10¹

j. 2,000 = 2.00x10³

Explanation:

Hello,

In this case, rounding off each measurement to three significant figures, considering that if the fourth figure is five or more, the third one is rounded, we obtain:

a. 86,942  = 8.69x10⁴ (four places until the last digit and third digit is not rounded).

f. 56,018  = 5.60x10⁴ (four places until the last digit and third digit is not rounded).

b. 0.00621875  = 6.22x10⁻³ (three places until the first digit and third digit is rounded).

g. 0.003870  = 3.87x10⁻³ (three places until the first digit and third digit is not rounded).

c. 107062.03  = 1.07x10⁵ (five places until the last non-decimal digit and third digit is not rounded).

h. 15.9994  = 16.0 (those consecutive nines round the number to 16.0).

d. 4.00049  = 4.00

i. 12.011  = 12.0

e. 96  = 9.60x10¹ (exponential notation is needed since the number initially has two significant figures so an additional zero is added)

j. 2,000 = 2.00x10³ (three places until the last digit and third digit is not rounded).

Best regards.