Use a prefix to write the name for each of the following:
c. 0.001 m

검증된 단계별 안내

Step 1: Understand the problem. The goal is to express the given value (0.001 m) using a metric prefix. Metric prefixes are used to simplify the representation of very large or very small numbers in the metric system.

Step 2: Recall the metric prefixes and their corresponding powers of ten. For example, milli- (m) represents 10^(-3), centi- (c) represents 10^(-2), and so on.

Step 3: Identify the appropriate prefix for the given value. Since 0.001 is equivalent to 10^(-3), the correct prefix to use is 'milli-' (m).

Step 4: Combine the prefix with the base unit. In this case, the base unit is 'm' (meters), so the name becomes 'millimeter' (mm).

Step 5: Verify your work by converting back. Ensure that 1 millimeter (mm) equals 0.001 meters (m), confirming the correctness of the prefix used.

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주요 개념

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Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. They simplify the representation of large or small quantities by providing a shorthand way to express them. For example, 'milli-' represents one-thousandth (10^-3), allowing us to express 0.001 meters as 1 millimeter (1 mm).

Scientific Notation

Scientific notation is a method of expressing numbers that are too large or too small in a more manageable form. It involves writing a number as a product of a coefficient and a power of ten. For instance, 0.001 can be expressed as 1 x 10^-3, which highlights its relationship to the metric prefix 'milli-'.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this context, converting 0.001 meters to millimeters involves recognizing that 1 meter equals 1000 millimeters. Thus, multiplying 0.001 by 1000 gives us 1 mm, demonstrating the practical application of metric prefixes in everyday measurements.

Use a prefix to write the name for each of the following: c. 0.001 m