Question

Express the number appearing in the following statement in the standard form:

The charge on an electron is $0.00000000000027$.

• A. The charge on an electron is $2\cdot 7\times {10}^{13}$
• B. The charge on an electron is $2\cdot 7\times {10}^{14}$
• C. The charge on an electron is $2\cdot 7\times {10}^{-14}$
• D. The charge on an electron is $2\cdot 7\times {10}^{-13}$

Answer 1

The correct option is D The charge on an electron is $2\cdot 7\times {10}^{-13}$

$0.00000000000027=\frac{27}{100000000000000}$

$=\frac{27}{{10}^{14}}$=$\frac{2\cdot 7\times {10}^1}{{10}^{14}}$

$=2\cdot 7\times {10}^{-13}$