Full solution

Q. Write the answer in proper scientific notation

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\frac{3}{2 x 10^{6}}

Understand Scientific Notation: Understand the format of scientific notation. $\newline$ Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is typically written in the form of $a \times 10^n$ , where $1 \leq a < 10$ and $n$ is an integer.
Identify Given Number: Identify the given number. $\newline$ The given number is $(\frac{3}{2\times10^{6}})$ . We need to express this in scientific notation.
Simplify Fraction: Simplify the fraction. $\newline$ To simplify the fraction, we divide $3$ by $2$ . $\newline$ $3 / 2 = 1.5$
Combine with Power of $10$ : Combine the result with the power of $10$ . $\newline$ Since we divided by $2$ , we need to adjust the power of $10$ accordingly. The original power of $10$ was $10^6$ , so we need to multiply $1.5$ by $10^6$ . $\newline$ $1.5 \times 10^6$
Write Final Result: Write the final result in scientific notation. $\newline$ The final result is already in the correct scientific notation format, as $1.5$ is between $1$ and $10$ , and $10^6$ is a power of $10$ with an integer exponent.