# How do you write 53657 nanoseconds in scientific notation?

Jun 16, 2016

$5.3657 \cdot {10}^{-} 5$ s.

#### Explanation:

The scale of prefixes is

• milliseconds = ${10}^{-} 3$ s
• microseconds = ${10}^{-} 6$ s
• nanoseconds = ${10}^{-} 9$ s

so 53657 nanoseconds is

$53657 \cdot {10}^{-} 9$ s. In general in scientific notation we have only one digit before the dot, so we represent it as

$5.3657 \cdot {10}^{4} \cdot {10}^{-} 9$ s

$= 5.3657 \cdot {10}^{-} 5$ s.