Determine the number of microliters in 14.9 mL (1.00×10^6 microliters = 1 liter). 1.4910^7 microliters 14910^6 microliters 14910^8 microliters 14910^4 microliters
The Correct Answer and Explanation is:
To determine the number of microliters in 14.9 milliliters, we need to understand the relationship between milliliters and microliters.
Step 1: Understand the metric conversions
- 1 liter = 1,000 milliliters (mL)
- 1 liter = 1,000,000 microliters (μL)
This means that:
1 milliliter = 1,000 microliters
Step 2: Convert 14.9 mL to microliters
Now that we know 1 mL equals 1,000 μL, we simply multiply:
14.9 mL × 1,000 μL/mL = 14,900 μL
To express this in scientific notation:
14,900 = 1.49 × 10⁴ × 10³ = 1.49 × 10⁷ μL
Final Answer:
1.49 × 10⁷ microliters
Explanation:
Metric units are based on powers of ten, making conversions straightforward. A microliter is one-millionth of a liter, while a milliliter is one-thousandth. Since 1 milliliter contains 1,000 microliters, we can use simple multiplication for the conversion.
In this case, multiplying 14.9 by 1,000 gives 14,900 microliters. Scientific notation is helpful for writing large numbers more compactly and accurately. To convert 14,900 to scientific notation, we identify how many times we would need to move the decimal point to the left to place it after the first digit. Moving it four places left gives 1.49, and since we moved four digits, we multiply by 10⁴. Since we also multiplied by 1,000 to convert from milliliters to microliters (10³), we combine the exponents: 10⁴ × 10³ = 10⁷.
Among the options given:
- 1.49 × 10⁷ microliters is the correct answer.
Correct Option:
1.49 × 10⁷ microliters
