Question

Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

• A. $1.0\times {10}^{-9}g$
• B. $1.0\times {10}^{-8}g$
• C. $0.1\times {10}^{-7}g$
• D. $0.1\times {10}^{-8}g$

Answer 1

The correct option is B $1.0\times {10}^{-8}g$

Given, weight $=0.00000001g$
We know, any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its standard form.
Standard form of 0.00000001 g
$=0.1\times {10}^{-7}g=1\times {10}^{-7}\times {10}^{-1}g=1.0\times {10}^{-8}g$