what is the metric prefix for 10 12 and how does it relate to meters
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ATI TEAS 7

Metric Conversions for TEAS 7

1. What is the metric prefix for 10^-12 and how does it relate to meters?

Correct answer: C

Rationale: The prefix 'femto-' stands for 10^-15, making femtometer equal to 10^-15 meters. The incorrect choices are A and B because 'pico-' represents 10^-12 (picometer) and 'nano-' represents 10^-9 (nanometer), respectively. Choice D is also incorrect as 'pico-' is associated with 10^-12, not 10^-15.

2. Convert 0.75 kilograms to grams.

Correct answer: B

Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 0.75 kilograms is equal to 0.75 x 1000 = 750 grams. Choices A, C, and D are incorrect as they incorrectly place the decimal point and do not reflect the correct conversion from kilograms to grams.

3. Convert 3,450 grams to milligrams (mg).

Correct answer: B

Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 3,450 grams × 1,000 = 3,450,000 milligrams. Choice A (34,500 mg) is incorrect because it represents the result for converting grams to milligrams by a factor of 10 (not 1,000). Choice C (3,450 mg) is incorrect as it represents the original amount in grams, not the converted amount to milligrams. Choice D (3,450,000 mg) is incorrect as it is the same as the correct answer but with the comma in the wrong place, which would imply converting kilograms to milligrams rather than grams to milligrams.

4. Which metric prefix represents 10^-2?

Correct answer: A

Rationale: The metric prefix 'centi-' signifies 10^-2, denoting one-hundredth of a unit. For instance, 1 centimeter equals 0.01 of the base unit. Choice B, 'milli,' represents 10^-3, 'nano' in Choice C represents 10^-9, and 'deci' in Choice D stands for 10^-1. Therefore, the correct answer is 'centi.'

5. The SI prefixes micro and milli represent, respectively:

Correct answer: A

Rationale: The prefixes 'micro-' and 'milli-' represent 10^-6 and 10^-3, respectively. 'Micro-' denotes one-millionth (10^-6), while 'milli-' denotes one-thousandth (10^-3). Choice B is incorrect because it confuses the order of magnitudes for micro and milli. Choice C and D are also incorrect as they provide the wrong values for the prefixes micro and milli.

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