To solve [tex]\(8 \frac{1}{10^5}\)[/tex], we need to follow these steps:
1. Understand the expression:
- The fraction [tex]\(\frac{1}{10^5}\)[/tex] represents one ten-thousandth. Since [tex]\(10^5 = 100,000\)[/tex], the fraction [tex]\(\frac{1}{10^5}\)[/tex] is equivalent to 0.00001.
2. Multiply the whole number by the fraction:
- The expression [tex]\(8 \frac{1}{10^5}\)[/tex] indicates 8 times [tex]\(1 \div 100,000\)[/tex].
3. Perform the multiplication:
- We multiply 8 by 0.00001.
4. Calculate the result:
- Multiplying 8 by 0.00001 gives us [tex]\(0.00008\)[/tex].
So, [tex]\(8 \frac{1}{10^5} = 0.00008\)[/tex].
This means that multiplying 8 by [tex]\( \frac{1}{10^5}\)[/tex] or dividing 8 by 100,000 results in [tex]\(0.00008\)[/tex]. The numbers 8 and 100,000 remain the same from these calculations.
Hence, the final result [tex]\(0.00008\)[/tex] can be written as [tex]\(8 \times 10^{-5}\)[/tex] or simply as [tex]\(8e-05\)[/tex] in scientific notation.
