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

ATI TEAS 7

Metric Conversions for TEAS 7

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

A. pico- (p) = 10^-12 meters
B. nano- (n) = 10^-12 meters
C. femto- (f) = 10^-12 meters
D. pico- (p) = 10^-15 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. What is the equivalent of 1 nanometer (nm) in meters (m)?

A. 10^-9 meters
B. 10^-6 meters
C. 10^-12 meters
D. 10^-15 meters

Correct answer: A

Rationale: The correct answer is A: 10^-9 meters. 1 nanometer (nm) is equivalent to 10^-9 meters. This conversion is commonly used in various scientific fields, including nanotechnology, to represent extremely small lengths. Choice B, 10^-6 meters, is incorrect as it represents a micrometer, not a nanometer. Choice C, 10^-12 meters, is incorrect as it would be a picometer, which is smaller than a nanometer. Choice D, 10^-15 meters, is incorrect as it would be a femtometer, much smaller than a nanometer.

3. How many kilometers (km) is equivalent to 1,000 meters?

A. 0.1 km
B. 1 km
C. 10 km
D. 0.01 km

Correct answer: B

Rationale: To convert meters to kilometers, the conversion factor is 1 kilometer = 1,000 meters. Therefore, to find how many kilometers are in 1,000 meters, you divide 1,000 by 1,000, which equals 1 kilometer. Choice A (0.1 km), Choice C (10 km), and Choice D (0.01 km) are incorrect because they do not correctly represent the conversion of 1,000 meters to kilometers.

4. What is 0.125 as a fraction?

A. 1/8
B. 1/4
C. 1/2
D. 1/16

Correct answer: A

Rationale: To convert 0.125 to a fraction, we write it as 125/1000. Simplifying by dividing both the numerator and denominator by 125 gives us 1/8. Therefore, choice A (1/8) is the correct answer. Choice B (1/4) is incorrect as it represents 0.25, not 0.125. Choice C (1/2) is incorrect as it represents 0.5, not 0.125. Choice D (1/16) is incorrect as it represents 0.0625, not 0.125.

5. What does 'g' stand for in the metric system?

A. gram
B. grain
C. goose
D. grammage

Correct answer: A

Rationale: In the metric system, 'g' stands for gram, which is the base unit for mass. Choice B, 'grain,' is a measurement unit in the imperial system and not the metric system. Choice C, 'goose,' is unrelated to the metric system. Choice D, 'grammage,' is a term used to describe the weight of paper or fabric, not a unit in the metric system.