Question

Write in exponential notation of 203.016 =?

Answer 1

203.016 written in exponential notation is
`\(2.03016 * 10^2\).`

Step-by-step explanation:

Exponential notation is a compact way of expressing numbers using powers of 10. In this case, to express 203.016 in exponential notation, consider moving the decimal point to the right until there's a single digit to its left, while counting the number of places moved.

Starting with 203.016, moving the decimal point two places to the left results in 2.03016. As the decimal point was moved two places, the exponent in the exponential notation is 2. The number 2.03016 multiplied by
`\(10^2\)` (which means 10 raised to the power of 2, equivalent to 100) gives the original value of 203.016.

Therefore, expressing 203.016 in exponential notation as
`\(2.03016 * 10^2\)` indicates that the decimal point was shifted two places to the left, and the resulting number is multiplied by
`\(10^2\)` to maintain its original value.