To answer this question, let's analyze the number [tex]\( 5.16 \times 10^{-4} \)[/tex].
The expression [tex]\( 10^{-4} \)[/tex] represents the number 1 divided by [tex]\( 10^4 \)[/tex], which is 1 divided by 10,000. Therefore, multiplying 5.16 by [tex]\( 10^{-4} \)[/tex] is equivalent to moving the decimal point four places to the left.
Starting with the number 5.16:
1. Move the decimal point one place to the left: [tex]\( 0.516 \)[/tex]
2. Move the decimal point a second place to the left: [tex]\( 0.0516 \)[/tex]
3. Move the decimal point a third place to the left: [tex]\( 0.00516 \)[/tex]
4. Move the decimal point a fourth place to the left: [tex]\( 0.000516 \)[/tex]
So, the number [tex]\( 5.16 \times 10^{-4} \)[/tex] is equal to 0.000516.
Thus, the correct answer is:
C) 0.000516
