Convert 1 µl (1 microliter) into ml (milliliters): express as a fraction or decimal: ANSWER HERE express as a number using exponential notation: ANSWER HERE How many micrograms (µg) does 1 µl of water weigh? ANSWER HERE How many ml are there in 5.5 liters? express as a whole number: ANSWER HERE, express in scientific notation: ANSWER HERE How many liters are there in 5.5 quarts (assuming 1 liter = 1.057 qt)? ANSWER HERE Convert the following numbers: (a) 1.534 cm = ANSWER HERE mm (b) 46.8 µl = ANSWER HERE dl (c) 6.9732 µg = ANSWER HERE kg
The Correct Answer and Explanation is :
Here are the answers to the conversions and questions:
1. Convert 1 µl (microliter) to ml (milliliters):
- As a fraction or decimal:
[ 1 \, \mu l = 0.001 \, ml ] - Using exponential notation:
[ 1 \, \mu l = 10^{-3} \, ml ] Explanation:
Since 1 milliliter (ml) is equivalent to 1,000 microliters (µl), converting from microliters to milliliters involves dividing the number of microliters by 1,000. Thus, 1 µl equals 0.001 ml or ( 10^{-3} ) ml.
2. How many micrograms (µg) does 1 µl of water weigh?
- Answer:
1 µl of water weighs 1 mg or 1,000 µg. Explanation:
The density of water is 1 gram per milliliter (g/ml), so 1 milliliter of water weighs 1 gram. Since 1 milliliter equals 1,000 microliters, 1 µl of water weighs 1 milligram (mg). 1 mg equals 1,000 micrograms (µg), so 1 µl of water weighs 1,000 µg.
3. How many milliliters (ml) are there in 5.5 liters?
- As a whole number:
[ 5.5 \, L = 5500 \, ml ] - In scientific notation:
[ 5.5 \, L = 5.5 \times 10^3 \, ml ] Explanation:
There are 1,000 milliliters in 1 liter. So, to convert 5.5 liters to milliliters, multiply 5.5 by 1,000. This gives 5,500 ml, or ( 5.5 \times 10^3 ) ml in scientific notation.
4. How many liters are there in 5.5 quarts (assuming 1 liter = 1.057 qt)?
- Answer:
[ 5.5 \, \text{qt} \approx 5.5 \div 1.057 \approx 5.2 \, \text{liters} ] Explanation:
To convert quarts to liters, divide the number of quarts by the conversion factor (1.057). So, ( 5.5 \, \text{qt} \div 1.057 \approx 5.2 \, \text{liters} ).
5. Convert the following numbers:
(a) 1.534 cm to mm:
[ 1.534 \, \text{cm} = 15.34 \, \text{mm} ]
- Explanation:
1 cm equals 10 mm, so multiplying 1.534 cm by 10 gives 15.34 mm. (b) 46.8 µl to dl:
[ 46.8 \, \mu l = 0.00468 \, \text{dl} ] - Explanation:
1 dl (deciliter) is equal to 10,000 µl. So, dividing 46.8 µl by 10,000 gives 0.00468 dl. (c) 6.9732 µg to kg:
[ 6.9732 \, \mu g = 6.9732 \times 10^{-9} \, \text{kg} ] - Explanation:
1 µg (microgram) is ( 10^{-6} ) grams, and 1 gram is ( 10^{-3} ) kilograms, so 1 µg is ( 10^{-9} ) kg. Multiplying 6.9732 µg by ( 10^{-9} ) gives ( 6.9732 \times 10^{-9} ) kg.
These conversions rely on understanding basic metric relationships, such as 1 liter = 1,000 milliliters, and applying them appropriately to each conversion factor.