Question

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

Answer 1

The area covered by the bacterium in square meters is $\boxed{1.50 \times {{10}^{ - 12}}{\text{ }}{{\text{m}}^{\text{2}}}}.$

Further explanation:

Given:

A certain bacterium covers an area of $1.50\mu {m^2}.$

Explanation:

The area covered by the bacteria is $1.50\mu {m^2}.$

Area is the square of the length. The unit of area is square units.

$\mu$ represents the micrometer.

In one micrometer there are ${10^{ - 6}}$ meter.

$1\mu m = 1 \times {10^{ - 6}}{\text{ m}}$

In one micrometer square there are ${10^{ - 12}}$ meter.

$1\mu {m^2} = 1 \times {10^{ - 12}}{\text{ }}{{\text{m}}^2}.$

$1.50\mu {m^2}$ in ${m^2}$ can be expressed as follows,

$\begin{aligned}1.50\mu {m^2}&= 1.50 \times {\left( {1 \times {{10}^{ - 6}}} \right)^2}\\&= 1.50 \times {10^{ - 12}}{\text{ }}{{\text{m}}^2}\\\end{aligned}$

The area covered by the bacterium in square meters is $\boxed{1.50 \times {{10}^{ - 12}}{\text{ }}{{\text{m}}^{\text{2}}}}.$

Learn more:

1. Learn more about line segment and rayshttps://brainly.com/question/909890.

2. Learn more aboutequation of circle brainly.com/question/1506955.

3. Learn more about coplanar and non-collinear pointshttps://brainly.com/question/4165000.

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Unit Conversion

Keywords: measurement, microscope, bacteria, area, square meters, microscopic, bacterium covers area, 1.50, convert, unit conversions, micrometer, meters, m^2, length, area covered.

Answer 2

The answer is 1.5 × 10⁻¹² m²

1 m = 10⁶ μm
(1 m)² = (10⁶ μm)²
1 m² = (10⁶)² μm²
1 m² = 10⁶*² μm²
1 m² = 10¹² μm²

⇒ 1 μm² = 10⁻¹² m²
⇒ 1.5 μm² = 1.5 × 10⁻¹² m²