Question

how do you write 5.06 x 10^{-4} in standard form?

Explanation:

Step1: Recall negative - exponent rule

A number in scientific notation \(a\times10^{-n}\) (where \(1\leqslant a<10\) and \(n\) is a positive integer) can be written as \(a\div10^{n}\) in standard form. Here \(a = 5.06\) and \(n = 4\).

Step2: Perform the division

\(5.06\div10^{4}=5.06\div10000\). When we divide \(5.06\) by \(10000\), we move the decimal point 4 places to the left. So \(5.06\div10000 = 0.000506\).

Answer:

\(0.000506\)