Math Problem Statement

Show me metric system method solution step by step answer

Solution

Let's solve the problem by converting the given volume from microliters (µL) to liters (L) and milliliters (mL) using the metric system.

Step 1: Convert Microliters (µL) to Liters (L)

  1. Understand the conversion factor:

    • 1 microliter (µL) = 10610^{-6} liters (L).
  2. Calculate the conversion: 1,200μL=1,200×106L1,200 \, \mu L = 1,200 \times 10^{-6} \, L 1,200μL=0.0012L1,200 \, \mu L = 0.0012 \, L

Step 2: Convert Microliters (µL) to Milliliters (mL)

  1. Understand the conversion factor:

    • 1 microliter (µL) = 10310^{-3} milliliters (mL).
  2. Calculate the conversion: 1,200μL=1,200×103mL1,200 \, \mu L = 1,200 \times 10^{-3} \, mL 1,200μL=1.2mL1,200 \, \mu L = 1.2 \, mL

Final Answer:

  • Liters (L): 0.0012L0.0012 \, L
  • Milliliters (mL): 1.2mL1.2 \, mL

Would you like more details on the metric system or have any questions? Here are some related questions to consider:

  1. How would you convert 500 µL to liters and milliliters?
  2. What is the equivalent of 2.5 mL in liters and microliters?
  3. How do you convert between other metric units like centimeters and meters?
  4. If you have 0.005 L, how many milliliters and microliters is that?
  5. What are the steps to convert nanoliters (nL) to microliters (µL)?

Tip: Remember that converting between units in the metric system is often just a matter of moving the decimal point. This is because the metric system is based on powers of 10.

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Math Problem Analysis

Mathematical Concepts

Metric System
Unit Conversion

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8