To express the number \(4.13E7\) in standard notation, we first need to understand what the scientific notation \(4.13E7\) means. The notation "E" stands for exponent, so \(4.13E7\) can be interpreted as \(4.13 \times 10^7\).
Here's a step-by-step breakdown:
1. Identify the base number: In the notation \(4.13E7\), the base number is 4.13.
2. Identify the exponent: The exponent here is 7, which means we need to multiply the base number by \(10^7\).
3. Understand the exponentiation: The expression \(10^7\) means 10 raised to the power of 7, which equals 10,000,000 (1 followed by 7 zeros).
4. Multiply the base number by \(10^7\):
[tex]\[
4.13 \times 10^7 = 4.13 \times 10,000,000
\][/tex]
5. Perform the multiplication:
[tex]\[
4.13 \times 10,000,000 = 41,300,000
\][/tex]
Thus, the number \(4.13E7\) expressed in standard notation is \(41,300,000\).
Therefore, the correct answer is:
C. [tex]\(41,300,000\)[/tex]
