A certain multivitamin has 205.0 mg of a particular mineral.  How many kilograms of that mineral are in the multivitamin?  Express your answer in scientific notation.

To convert the amount of the mineral from milligrams (mg) to kilograms (kg), we can follow these steps:

1. **Convert milligrams to grams:**
   \[
   1 \, \text{mg} = 10^{-3} \, \text{g}
   \]
   So,
   \[
   205.0 \, \text{mg} = 205.0 \times 10^{-3} \, \text{g} = 0.205 \, \text{g}
   \]

2. **Convert grams to kilograms:**
   \[
   1 \, \text{g} = 10^{-3} \, \text{kg}
   \]
   So,
   \[
   0.205 \, \text{g} = 0.205 \times 10^{-3} \, \text{kg} = 2.05 \times 10^{-4} \, \text{kg}
   \]

Thus, the mass of the mineral in the multivitamin is \( \mathbf{2.05 \times 10^{-4}} \) kilograms.

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you convert between different units of mass?
2. Why is scientific notation useful in expressing very large or very small numbers?
3. How would you convert 205.0 mg directly to kilograms without intermediate steps?
4. What other contexts might require unit conversion to or from kilograms?
5. How does the density of a substance affect the conversion between volume and mass?

**Tip:** Always double-check unit conversions by ensuring that the units cancel out correctly throughout the calculation.

Learn how to convert 205.0 milligrams (mg) of a mineral into kilograms (kg) with a step-by-step unit conversion. This problem covers unit conversion within the metric system, useful for science and everyday calculations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation