To write [tex]$8.45 \times 10^4$[/tex] in standard form, follow these steps:
1. Identify the base and exponent: We are given the number [tex]\(8.45\)[/tex] and the exponent [tex]\(4\)[/tex], which means we need to multiply [tex]\(8.45\)[/tex] by [tex]\(10\)[/tex] raised to the power of [tex]\(4\)[/tex].
2. Calculate [tex]\(10^4\)[/tex]: This equals [tex]\(10,000\)[/tex]. So, we need to multiply [tex]\(8.45\)[/tex] by [tex]\(10,000\)[/tex].
3. Perform the multiplication:
[tex]\[
8.45 \times 10,000 = 84,500
\][/tex]
Thus, the number [tex]\(8.45 \times 10^4\)[/tex] written in standard form is [tex]\(84,500\)[/tex].
Therefore, the correct answer is:
[tex]\[ 84,500 \][/tex]
