Question

what is this number written in scientific notation? 820,000 = ? × 10^□

Explanation:

Step1: Determine the coefficient

To write 820,000 in scientific notation, we need to find a number between 1 and 10 (including 1, excluding 10) that when multiplied by a power of 10 gives 820,000. We move the decimal point 5 places to the left to get 8.2. So the coefficient is 8.2.

Step2: Determine the exponent

Since we moved the decimal point 5 places to the left, the exponent of 10 is 5. So 820,000 can be written as \(8.2\times10^{5}\).

Answer:

\(8.2\times10^{5}\)