Question

the length of a bacterial cell is 3.4 × 10^{-6} m. express the length of the cell in standard form.
the length of the cell is □ m.

Explanation:

Step1: Recall the formula for standard form

Standard form is \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\in\mathbb{Z}\).

Step2: Analyze the given number \(3.4\times 10^{-6}\)

Here, \(a = 3.4\) (which satisfies \(1\leqslant|a|\lt10\)) and \(n=-6\).
To convert \(3.4\times 10^{-6}\) to standard form (decimal form), we use the rule \(a\times10^{-n}=\frac{a}{10^{n}}\).
Since \(n = 6\), we move the decimal point in \(3.4\) six places to the left.
\(3.4\times10^{-6}=\frac{3.4}{10^{6}}=0.0000034\)

Answer:

\(0.0000034\)