Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50μm21.50μm2. Convert this to square meters.

To convert an area of \( 1.50 \, \mu\text{m}^2 \) (square micrometers) to square meters, follow these steps:

1. **Understand the conversion factor**:  
   \( 1 \, \mu\text{m} = 1 \times 10^{-6} \, \text{m} \).

2. **Square both sides of the equation** (since the area is in square micrometers):  
   \[
   1 \, \mu\text{m}^2 = (1 \times 10^{-6} \, \text{m})^2 = 1 \times 10^{-12} \, \text{m}^2.
   \]

3. **Convert the given area**:  
   Multiply the area in square micrometers by the conversion factor:
   \[
   1.50 \, \mu\text{m}^2 \times 1 \times 10^{-12} = 1.50 \times 10^{-12} \, \text{m}^2.
   \]

So, the bacterium covers an area of \( 1.50 \times 10^{-12} \, \text{m}^2 \).

Would you like further clarification on any step?

Here are 5 related questions for you:
1. How would you convert square millimeters to square meters?
2. What is the volume of a cube with a side length of 2 micrometers in cubic meters?
3. How do you convert square centimeters to square meters?
4. What are the standard units used for measuring surface area in biology?
5. Can you explain why the conversion requires squaring the unit?

**Tip**: When converting between units that involve exponents (such as area or volume), always remember to raise the conversion factor to the appropriate power (square for area, cube for volume).

Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50μm². Convert this to square meters.

Learn how to convert the area of 1.50 square micrometers (μm²) to square meters (m²) using scientific notation and unit conversion techniques. This detailed solution covers key mathematical concepts like area measurement and exponentiation, suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation