Full solution

Q. How do you write

66,000

in scientific notation?

\newline

\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

Move Decimal Left: To write a number in scientific notation, we need to express it as a number between $1$ and $10$ multiplied by a power of $10$ . We do this by moving the decimal point to the left until we have a number between $1$ and $10$ . For $66,000$ , the decimal point is currently at the end of the number (after the last zero), and we need to count how many places we move it to the left to get a number between $1$ and $10$ .
Convert to $6.6$ : Moving the decimal point $4$ places to the left from $66,000$ gives us $6.6$ . This is because $66,000$ is the same as $66,000.0$ , and moving the decimal point $4$ places to the left turns it into $6.6000$ , which we can write as $6.6$ .
Multiply by $10^4$ : Now that we have the number $6.6$ , which is between $1$ and $10$ , we need to multiply it by $10$ raised to the power of the number of places we moved the decimal point. Since we moved the decimal $4$ places, we multiply $6.6$ by $10^4$ .
Combine for Scientific Notation: Putting it all together, $66,000$ in scientific notation is written as $6.6 \times 10^4$ .