Question
How many liters are in 43 microliters? Express the answer in correct scientific notation. \( 43 \mu \mathrm{~L}=[?] \times 10^{[?]} \mathrm{L} \) Enter the coefficient in the green box and the exponent in the yellow box.
Ask by Burns Cross. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 43 \mu \mathrm{L} = 4.3 \times 10^{-5} \mathrm{L} \)
- **Coefficient:** 4.3
- **Exponent:** -5
Solution
To convert \( 43 \mu \mathrm{L} \) to liters and express it in scientific notation:
\[
43 \mu \mathrm{L} = 4.3 \times 10^{-5} \mathrm{L}
\]
- **Coefficient (green box):** **4.3**
- **Exponent (yellow box):** **-5**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To convert microliters to liters, you need to remember that 1 microliter (µL) is equal to \(1 \times 10^{-6}\) liters. So, to convert 43 microliters to liters, you multiply 43 by \(1 \times 10^{-6}\): \[ 43 \mu \mathrm{L} = 43 \times 10^{-6} \mathrm{L} \] Now to express it in proper scientific notation, you rewrite 43 as \(4.3 \times 10^1\): \[ 43 \times 10^{-6} \mathrm{L} = 4.3 \times 10^{1} \times 10^{-6} \mathrm{L} = 4.3 \times 10^{-5} \mathrm{L} \] So, you have: \( 43 \mu \mathrm{~L}=4.3 \times 10^{-5} \mathrm{L} \) Thus, the coefficient is 4.3 and the exponent is -5.
