Sure! Let's express the number [tex]\(4.5 \times 10^{-4}\)[/tex] in standard notation.
### Step-by-Step Solution:
1. Understand the Scientific Notation:
- The number [tex]\(4.5 \times 10^{-4}\)[/tex] is in scientific notation. This means we need to move the decimal point 4 places to the left because the exponent is [tex]\(-4\)[/tex].
2. Move the Decimal Point:
- Start with 4.5.
- Move the decimal point 4 places to the left.
To do this, you can add zeros as placeholders.
[tex]\[
\begin{array}{ccccccc}
& 0 & . & 0 & 0 & 0 & 4.5 \\
\end{array}
\][/tex]
3. Place the Decimal Point:
- After moving the decimal point 4 places to the left, we place it in front of the zeros:
[tex]\[
0.00045
\][/tex]
4. Final Result:
- Therefore, the number [tex]\(4.5 \times 10^{-4}\)[/tex] in standard notation is:
[tex]\[
0.00045000000000000004
\][/tex]
### Conclusion:
So, the scientific notation [tex]\(4.5 \times 10^{-4}\)[/tex] expressed in standard notation is [tex]\(0.00045000000000000004\)[/tex].
