Question

how do you write 0.000197 in scientific notation? 197 × 10^3

Explanation:

Step1: Identify the coefficient

For a number in scientific - notation \(a\times10^{n}\), \(a\) must satisfy \(1\leqslant|a|\lt10\). We start with \(0.000197\). Move the decimal point to the right until we get a number between \(1\) and \(10\). We get \(a = 1.97\).

Step2: Determine the exponent

We moved the decimal point 4 places to the right. Since the original number \(0.000197\) is less than \(1\), the exponent \(n\) of \(10\) is negative. So \(n=-4\).

Answer:

\(1.97\times 10^{-4}\)