To write the number [tex]\(8,670,000,000\)[/tex] in scientific notation, follow these steps:
1. Identify the significant digits: In this case, the number [tex]\(8,670,000,000\)[/tex] has three significant digits, which are [tex]\(8\)[/tex], [tex]\(6\)[/tex], and [tex]\(7\)[/tex].
2. Place the decimal point so that there is only one non-zero digit to the left of the decimal point. This changes the number from [tex]\(8,670,000,000\)[/tex] to [tex]\(8.67\)[/tex].
3. Determine the power of 10: Count how many places the decimal point has moved from its original position at the end of the number (since the number is initially an integer, it's implied to be at the end). The decimal point moves 9 places to the left to get from [tex]\(8,670,000,000\)[/tex] to [tex]\(8.67\)[/tex].
4. Write the number in scientific notation: Combine the significant digits and the power of 10 to express the number as [tex]\(8.67 \times 10^9\)[/tex].
Thus, the number [tex]\(8,670,000,000\)[/tex] in scientific notation is:
[tex]\[ \boxed{8.67 \times 10^9} \][/tex]
