Certainly! Let's express the number [tex]\(797,000\)[/tex] in scientific notation, following a step-by-step approach.
### Steps:
1. Identify the significant figures:
- The number [tex]\(797,000\)[/tex] has three significant figures: 7, 9, and 7.
2. Normalize the number:
- Normalize means adjusting the number such that it is between 1 and 10.
- For [tex]\(797,000\)[/tex], we need to move the decimal point 5 places to the left to get [tex]\(7.97\)[/tex].
3. Determine the power of 10:
- Since we moved the decimal point 5 places to the left, we multiply by [tex]\(10^5\)[/tex].
4. Combine the normalized number with the power of 10:
- The scientific notation of [tex]\(797,000\)[/tex] is [tex]\(7.97\)[/tex] multiplied by [tex]\(10^5\)[/tex].
### Final Answer:
[tex]\[
797,000 = 7.97 \times 10^5
\][/tex]
