To determine the number of significant figures in the number [tex]\( 8.90 \times 10^6 \)[/tex] L, follow these steps:
1. Identify the base number: The base number here is [tex]\( 8.90 \)[/tex]. The exponent [tex]\(\times 10^6\)[/tex] does not affect the count of significant figures; it merely serves to scale the base number.
2. Count the significant figures in the base number:
- 8: The digit '8' is significant.
- 9: The digit '9' is significant.
- 0: The digit '0' after the decimal point and a non-zero digit is also significant.
3. Sum the significant figures: The base number [tex]\( 8.90 \)[/tex] has three significant figures: '8', '9', and '0'.
Thus, the number [tex]\( 8.90 \times 10^6 \)[/tex] L has [tex]\(\boxed{3}\)[/tex] significant figures.
