To solve the expression [tex]\( E-3 / 5.2 \times 10^4 \)[/tex], we need to carefully interpret and evaluate it step-by-step.
1. Interpretation of [tex]\( E-3 \)[/tex]:
- The term [tex]\( E-3 \)[/tex] is commonly used in scientific notation to represent [tex]\( 10^{-3} \)[/tex].
- Therefore, [tex]\( E-3 \)[/tex] can be translated to [tex]\( 10^{-3} \)[/tex].
2. Evaluating the Numerator:
- The numerator of our expression is [tex]\( 10^{-3} \)[/tex].
- Since [tex]\( 10^{-3} = 0.001 \)[/tex], the numerator becomes 0.001.
3. Interpreting the Denominator:
- The given denominator is [tex]\( 5.2 \times 10^4 \)[/tex].
- We keep the value as it is: [tex]\( 5.2 \times 10^4 \)[/tex].
4. Evaluating the Denominator:
- We need to multiply 5.2 by [tex]\( 10^4 \)[/tex].
- [tex]\( 10^4 = 10000 \)[/tex], hence [tex]\( 5.2 \times 10000 = 52000 \)[/tex].
- Therefore, the denominator is 52000.
5. Performing the Division:
- Now, we need to divide the numerator by the denominator.
- The division is [tex]\( \frac{0.001}{52000} \)[/tex].
- When we perform the division, the result is approximately [tex]\( 1.923076923076923 \times 10^{-8} \)[/tex].
So, [tex]\( \frac{10^{-3}}{5.2 \times 10^4} = 1.923076923076923 \times 10^{-8} \)[/tex].
Thus, the solution to the given expression [tex]\( E-3 / 5.2 \times 10^4 \)[/tex] is:
[tex]\[ 1.923076923076923 \times 10^{-8} \][/tex]
