Verified Answer :
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
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.