To convert [tex]\(52.3 \times 10^{-9}\)[/tex] into proper scientific notation, we need to adjust the coefficient to fall within the range of 1 (inclusive) and 10 (exclusive). Here are the steps to convert the number:
1. Start with the given number: [tex]\(52.3 \times 10^{-9}\)[/tex].
2. Identify the coefficient and the exponent. Initially, the coefficient is 52.3 and the exponent is -9.
3. Adjust the coefficient to be in the proper range (1 ≤ coefficient < 10) and correspondingly adjust the exponent:
- Since 52.3 is greater than 10, we need to reduce it by moving the decimal point one place to the left. This means dividing the coefficient by 10.
- To compensate for dividing by 10, we need to increase the exponent by 1.
4. Therefore, dividing 52.3 by 10 gives 5.23, and increasing the exponent by 1, changes -9 to -8.
Thus, the correct scientific notation of [tex]\(52.3 \times 10^{-9}\)[/tex] is:
[tex]\[
5.23 \times 10^{-8}
\][/tex]
Place the coefficient [tex]\(5.23\)[/tex] in the green box and the exponent [tex]\(-8\)[/tex] in the yellow box.
