2. Report each of the following quantities to 3 significant figures. Use standard notation if possible, or exponential notation if standard notation won't work.
a. 86,942
f. 56,018
b. 0.00621875
g. 0.003870
c. 107062.03
h. 15.9994
d. 4.00049
i. 12.011
e. 96
j. 2,000

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).

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