0.00581 in scientific notation is 5.81 x 10^{-3}.

Why is 0.00581 written as 5.81 x 10^{-3} in scientific notation?

## 0.00581 = 5.81 × 0.001

## and 0.001 = 10

^{-3}(see powers of 10)## so 0.00581 = 5.81 x 10

^{-3}

Both 0.00581 and 5.81 x 10^{-3} have the same value, just shown in different ways.

Scientific notation is a standard way of writing very large and very small numbers so that they’re easier to both compare and use in computations. To write in scientific notation, follow the form

N x 10^{a}

where N is a number between 1 and 10, but not 10 itself, and a is an integer (positive or negative number).

You move the decimal point of a number until the new form is a number from 1 up to 10 (N), and then record the exponent (a) as the number of places the decimal point was moved.

Whether the power of 10 is positive or negative depends on whether you move the decimal to the right or to the left. Moving the decimal to the right makes the exponent negative; moving it to the left gives you a positive exponent.

See step by step guide to writing numbers in scientific notation from *Dummies.com*.