Question

A special weighing balance can fine-tune to the minimum weight of $0.00000003$ grams. Express $0.00000003$ grams in the scientific notation.

• A. $0.3\times {10}^{-7}$ grams
• B. $3\times {10}^{-8}$ grams
• C. $3\times {10}^{-7}$ grams
• D. $0.3\times {10}^{-8}$

Answer 1

The correct option is B $3\times {10}^{-8}$ grams

$\underset{–}{\text{Need to find:}}$ Scientific notation of $0.00000003$ grams

We know, in the scientific notation, the coefficient should be in-between $1$ to $10$, including $1$ and excluding $10$.

In $0.00000003$, if we want to place the decimal point after $3$, we need to move the decimal point $8$ places to the right. And, corresponding exponent to the base $10$ should be $-8$.

Hence, $\underset{–}{0.00000003\text{grams}}$ in scientific notation can be represented as $000000003.0\times {10}^{-8}=\underset{–}{3\times {10}^{-8}}\text{grams}$.

$\therefore$ Option (b.) is the correct one.