To express [tex]\( 5.16 \times 10^3 \)[/tex] mol of [tex]\(\text{N}_2\text{O}_5\)[/tex] using three significant figures, follow these steps:
1. Identify the given number: [tex]\( 5.16 \times 10^3 \)[/tex].
2. Determine the number of significant figures needed: We need three significant figures in our final answer.
3. Ensure the given number already has the required significant figures: The number [tex]\( 5.16 \)[/tex] has three significant figures.
4. Combine with the scientific notation factor: Multiply the number with the scientific notation factor [tex]\( 10^3 \)[/tex].
Perform the calculation:
[tex]\[ 5.16 \times 10^3 = 5160.0 \][/tex]
Thus, the number [tex]\( 5.16 \times 10^3 \)[/tex] expressed using three significant figures is:
[tex]\[
5160.0 \text{ mol}
\][/tex]
This ensures the result has the correct number of significant figures as required.
