Question

SCIENTIFIC NOTATION Rewrite the number in scientific notation. $$0.00999$$

Short answer

The number 0.00999 in scientific notation is \(9.99 \times 10^{-2}\).

Step-by-step solution

Identify the number

Identify the number to be converted into scientific notation. Here, the number is 0.00999.

Position the Decimal

Move the decimal to the right until it's one space to the right of the first significant digit. You end up with 9.99.

Determine the Exponent

Now, you need to determine the exponent, which will represent the number of places the decimal has been moved. Here, since the original number was <1, the exponent will be negative. Additionally, because we moved the decimal place two positions to the right, the exponent of 10 will be -2.

Write in Scientific Notation

Put it all together to express the number in scientific notation: \(9.99 \times 10^{-2}\)