1 micron is equal to 1/1000000 m. Rewrite the statement in standard form.
The correct answer and explanation is:
The statement “1 micron is equal to 1/1,000,000 meters” can be rewritten in standard form as: 1 μm=1×10−6 m1 \, \mu m = 1 \times 10^{-6} \, m
Explanation:
In scientific notation, “standard form” refers to expressing a number as a product of a number (between 1 and 10) and a power of 10. This method makes it easier to work with very large or very small numbers.
The micron (µm) is a metric unit of length used to measure very small distances. The term “micro” refers to a factor of one millionth (1/1,000,000) of a unit. Therefore, 1 micron is 1 millionth of a meter, or 0.000001 meters. This can be expressed as 1×10−61 \times 10^{-6} meters, where the exponent -6 represents the movement of the decimal point six places to the left.
When dealing with extremely small measurements, such as the size of cells or microorganisms, the micron (µm) is a commonly used unit. The standard form makes it easier to perform calculations with such small values, as it avoids working with many zeros.
In practice, expressing measurements in standard form helps with clarity and precision, especially in fields like biology, physics, and engineering, where precision at the microscopic level is essential. It simplifies operations like multiplication and division by large or small numbers and is widely accepted in scientific and technical disciplines.