QuestionMay 31, 2025

Which of the following statements involving unit prefixes is incorrect? There are 10^3 micrometers in a millimeter There are 10^6 nanometers in a millimeter There are 10^3 centimeters in a meter There are 10^3 millimeters in a meter

Which of the following statements involving unit prefixes is incorrect? There are 10^3 micrometers in a millimeter There are 10^6 nanometers in a millimeter There are 10^3 centimeters in a meter There are 10^3 millimeters in a meter
Which of the following statements involving unit prefixes is incorrect?
There are 10^3 micrometers in a millimeter
There are 10^6 nanometers in a millimeter
There are 10^3 centimeters in a meter
There are 10^3 millimeters in a meter

Solution
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Answer

There are 10^{3} micrometers in a millimeter and there are 10^{3} centimeters in a meter are incorrect. Explanation 1. Analyze unit conversions Convert each statement using standard unit prefixes. - Micrometer to millimeter: 1 \text{ mm} = 10^{3} \text{ µm} (Incorrect, should be 10^{3} \text{ µm} = 1 \text{ mm}) - Nanometer to millimeter: 1 \text{ mm} = 10^{6} \text{ nm} (Correct) - Centimeter to meter: 1 \text{ m} = 10^{2} \text{ cm} (Incorrect, should be 10^{2} \text{ cm} = 1 \text{ m}) - Millimeter to meter: 1 \text{ m} = 10^{3} \text{ mm} (Correct) 2. Identify incorrect statements The incorrect statements are those that do not match the standard conversion.

Explanation

1. Analyze unit conversions<br /> Convert each statement using standard unit prefixes.<br />- Micrometer to millimeter: $1 \text{ mm} = 10^{3} \text{ µm}$ (Incorrect, should be $10^{3} \text{ µm} = 1 \text{ mm}$)<br />- Nanometer to millimeter: $1 \text{ mm} = 10^{6} \text{ nm}$ (Correct)<br />- Centimeter to meter: $1 \text{ m} = 10^{2} \text{ cm}$ (Incorrect, should be $10^{2} \text{ cm} = 1 \text{ m}$)<br />- Millimeter to meter: $1 \text{ m} = 10^{3} \text{ mm}$ (Correct)<br /><br />2. Identify incorrect statements<br /> The incorrect statements are those that do not match the standard conversion.
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