Convert 9.3*10^2 nL to L. Answer in scientific notation
The Correct Answer and Explanation is:
Correct Answer:
9.3×102 nL=9.3×10−7 L9.3 \times 10^2 \, \text{nL} = 9.3 \times 10^{-7} \, \text{L}9.3×102nL=9.3×10−7L
Explanation:
To convert nanoliters (nL) to liters (L), you must understand the metric prefix “nano.” The prefix “nano” means one billionth, or:1 nL=1×10−9 L1 \, \text{nL} = 1 \times 10^{-9} \, \text{L}1nL=1×10−9L
Now, you are given the quantity 9.3×102 nL9.3 \times 10^2 \, \text{nL}9.3×102nL. This is equivalent to 930 nL because:9.3×102=9309.3 \times 10^2 = 9309.3×102=930
To convert nanoliters to liters, multiply by the conversion factor 1×10−91 \times 10^{-9}1×10−9:930 nL×(1×10−9 LnL)=930×10−9 L930 \, \text{nL} \times \left(1 \times 10^{-9} \, \frac{\text{L}}{\text{nL}}\right) = 930 \times 10^{-9} \, \text{L}930nL×(1×10−9nLL)=930×10−9L
Now simplify this product into proper scientific notation. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. So:930×10−9=9.3×102×10−9930 \times 10^{-9} = 9.3 \times 10^2 \times 10^{-9}930×10−9=9.3×102×10−9
When multiplying powers of ten, you add the exponents:102×10−9=10−710^2 \times 10^{-9} = 10^{-7}102×10−9=10−7
So the final result becomes:9.3×10−7 L9.3 \times 10^{-7} \, \text{L}9.3×10−7L
This is now in scientific notation: a number (9.3) between 1 and 10, followed by a power of ten.
This conversion is important in science and medicine, where very small quantities often need to be accurately converted for proper measurement, dosage, or reporting. Scientific notation makes it easier to work with extremely large or small numbers without losing precision or clarity.
