The Approximate Number of Atoms of Carbon in A $\frac { 1 } { 2 }$

The approximate number of atoms of carbon in a $\frac { 1 } { 2 }$ -carat diamond can be found by computing the following expression. $\frac { 6.0 \times 10 ^ { 23 } } { 1.2 \times 10 ^ { 2 } }$ Express the number of carbon atoms in scientific and in standard notation.

A) $5 \times 10 ^ { 22 } , 50,000,000,000,000,000,000$
B) $5 \times 10 ^ { 21 } , 5,000,000,000,000,000,000,000$
C) $5 \times 10 ^ { 21 } , 500,000,000,000,000,000,000$
D) $5 \times 10 ^ { 11 } , 500,000,000,000$
E) $5 \times 10 ^ { 19 } , 50,000,000,000,000,000,000$