Question

When 17300000000000 fg are converted to Gg the correct result is:

(a) 1.73 X 10⁻⁹ Gg
(b) 1.73 X 10¹⁹ Gg
(c) 1.73 X 10⁻¹¹ Gg
(d) 1.73 X 10⁻¹⁷ Gg

Answer 1

The correct conversion of 17300000000000 femtograms (fg) to gigagrams (Gg) is calculated by dividing the value in fg by 10^24, yielding 1.73 x 10^-20 Gg. However, this value does not match any of the provided options, indicating a possible mistake in the choices or the question premise.

Step-by-step explanation:

When converting 17300000000000 fg to Gg (gigagrams), it is important to apply the correct conversion factors for metric prefixes. Femtograms (fg) are 10-15 grams, and gigagrams (Gg) are 109 grams. To convert femtograms to gigagrams, we can divide the numerical value in femtograms by 1024 (since 109 - (-1015) = 1024).

Doing the conversion:

• 17300000000000 fg = 17300000000000 x 10-15 g
• 17300000000000 fg = 1.73 x 104 x 10-15 g
• 17300000000000 fg = 1.73 x 10-11 g
• Now convert grams to gigagrams by dividing by 109:
• 1.73 x 10-11 g = 1.73 x 10-11 / 109 Gg
• 1.73 x 10-11 g = 1.73 x 10-20 Gg

Therefore, the correct conversion of 17300000000000 fg to Gg is 1.73 x 10-20 Gg, which is not listed as an option. It seems there may be an error in the provided choices or a misunderstanding in the premise of the question. Based on the given conversion factors, none of the provided options (a) 1.73 x 10-9 Gg, (b) 1.73 x 1019 Gg, (c) 1.73 x 10-11 Gg, (d) 1.73 x 10-17 Gg is correct.