Final answer:
The series is ranked from most precise to least precise based on the significant figures or decimal places. The correct ranking is Option D: 0.0034 (most precise), 1.45, 15, 100 (least precise).
Step-by-step explanation:
The question asks to rank a series of numbers based on their precision. Precision refers to the level of detail in the presentation of a number. It is determined by the number of significant figures or decimal places that a number has. The more decimal places or digits to the right of the decimal point, the more precise the number is.
Let's review each option:
- Option A: 15, 1.45, 0.0034, 100
- Option B: 100, 1.45, 0.0034, 15
- Option C: 100, 15, 1.45, 0.0034
- Option D: 15, 100, 1.45, 0.0034
To rank these from MOST precise to LEAST precise, we look for the number with the most digits after the decimal point and the number with the least digits after the decimal point or with no decimal point. Whole numbers without decimals are considered the least precise, whereas numbers with more digits after the decimal are considered more precise.
With this in mind, the correct ranking would be Option D: 0.0034 (most precise), 1.45, 15, 100 (least precise) because 0.0034 has the most digits following the decimal, indicating a higher level of precision.