Math Problem Statement

Perform the following conversions. Report your answer to the correct number of significant figures. Use the "E" format to enter a number in scientific notation (ex: 6.022 × 1023 = 6.022E23) a. 540 mL = Blank 1 L I b. 0.00233 km = Blank 2 m c. 0.0000145 g = Blank 3 ug d. 0.0192 L = Blank 4 mL

Solution

Let's perform the conversions for each part:

a. 540 mL to Liters

There are 1000 mL in 1 L. 540mL=5401000L=0.540L540 \, \text{mL} = \frac{540}{1000} \, \text{L} = 0.540 \, \text{L} Answer: Blank 1=0.540L\text{Blank 1} = 0.540 \, \text{L}

b. 0.00233 km to meters

There are 1000 meters in 1 kilometer. 0.00233km=0.00233×1000m=2.33m0.00233 \, \text{km} = 0.00233 \times 1000 \, \text{m} = 2.33 \, \text{m} Answer: Blank 2=2.33m\text{Blank 2} = 2.33 \, \text{m}

c. 0.0000145 g to micrograms (ug)

There are 1g=1.0E6μg1 \, \text{g} = 1.0E6 \, \mu\text{g}. 0.0000145g=0.0000145×1.0E6μg=14.5μg0.0000145 \, \text{g} = 0.0000145 \times 1.0E6 \, \mu\text{g} = 14.5 \, \mu\text{g} Answer: Blank 3=14.5μg\text{Blank 3} = 14.5 \, \mu\text{g}

d. 0.0192 L to milliliters

There are 1000 mL in 1 L. 0.0192L=0.0192×1000mL=19.2mL0.0192 \, \text{L} = 0.0192 \times 1000 \, \text{mL} = 19.2 \, \text{mL} Answer: Blank 4=19.2mL\text{Blank 4} = 19.2 \, \text{mL}


Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:

  1. How would you convert 0.055 L to microliters (µL)?
  2. What is 4.5 kg in milligrams (mg)?
  3. Convert 3.28 × 10³ m to kilometers.
  4. How do you convert cubic centimeters (cm³) to liters?
  5. If a liquid has a volume of 750 mL, how many liters is that?

Tip: When performing conversions, always ensure that you track the significant figures throughout the calculation to maintain precision.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Scientific Notation
Significant Figures

Formulas

Conversion from mL to L: L = mL / 1000
Conversion from km to m: m = km * 1000
Conversion from g to μg: μg = g * 1E6
Conversion from L to mL: mL = L * 1000

Theorems

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Suitable Grade Level

Grades 8-10