Convert -3.6 x 10^4 micrograms/dL to g/mL

To convert \(-3.6 \times 10^4\) micrograms per deciliter (µg/dL) to grams per milliliter (g/mL), we'll follow these steps:

### Step 1: Convert micrograms to grams
1 gram (g) is equal to \(10^6\) micrograms (µg). So,
\[
-3.6 \times 10^4 \, \mu g = \frac{-3.6 \times 10^4}{10^6} \, g = -3.6 \times 10^{-2} \, g = -0.036 \, g
\]

### Step 2: Convert deciliters to milliliters
1 deciliter (dL) is equal to 100 milliliters (mL). So,
\[
1 \, dL = 100 \, mL
\]
Thus, \( \mu g/dL \) becomes \( g/mL \) by dividing the result by 100.

### Step 3: Calculate the final conversion
\[
-0.036 \, g/dL = \frac{-0.036}{100} \, g/mL = -0.00036 \, g/mL
\]

Thus, \(-3.6 \times 10^4 \, \mu g/dL\) converts to **\(-0.00036 \, g/mL\)**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you convert mg/L to g/mL?
2. What is the conversion factor between µg/L and g/mL?
3. How can you convert kg/L to g/mL?
4. How does the conversion of volume units affect concentration?
5. Why is it important to convert between concentration units in chemistry?

**Tip:** Always keep track of both units and powers of 10 when performing conversions to avoid errors.

Learn how to convert -3.6 x 10^4 micrograms per deciliter (µg/dL) to grams per milliliter (g/mL) using unit conversion principles and scientific notation. This step-by-step guide explains how to switch between micrograms, grams, deciliters, and milliliters, making it suitable for high school chemistry students in Grades 10-12.

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