# How do you write 129g/ 29.2 mL in scientific notation?

Feb 15, 2017

$5.8636 \overline{36} g \textcolor{w h i t e}{.} m L$

#### Explanation:

Write as $\frac{129}{29.2} g \textcolor{w h i t e}{m} L$

$129 \div 29.2 = 58.636363 \ldots .$

A terminating or repeating decimal indicates that this value may be written in fractional form, which is precise. $.636363 . .$ is not precise. However, we are instructed that the answer is to be in scientific form which is decimal so we have no choice regarding format.

$58.636363 . . \text{ is the same as } 5.8636363 . . \times 10$

So the answer is: $5.8636 \overline{36}$ where the bar over the last 36 indicates that this repeats indefinitely