you measure the width of your door to be 36 inches the true width of the door is 3575 inches what is the relative error in your measurement
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ATI TEAS 7

TEAS Math Practice Test

1. Your measurement of the width of a door is 36 inches. The actual width of the door is 35.75 inches. What is the relative error in your measurement?

Correct answer: A

Rationale: To calculate relative error, you use the formula: (|measured value - actual value| / actual value) * 100%. Substituting the values, we get (|36 - 35.75| / 35.75) * 100% = (0.25 / 35.75) * 100% = 0.7%. This means your measurement is off by 0.7% from the actual width of the door. Choice B, 0.01%, is too small as it doesn't reflect the actual difference. Choices C and D are significantly different from the calculated answer and do not represent the accurate relative error in the measurement.

2. What is 1500 milliliters in liters?

Correct answer: A

Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in 1 liter. Therefore, 1500 milliliters divided by 1000 equals 1.5 liters, making option A the correct answer. Option B, 0.15 liters, is incorrect as it would be the conversion of 150 milliliters. Option C, 15 liters, is incorrect because it would be the conversion of 15,000 milliliters. Option D, 0.015 liters, is incorrect as it would be the conversion of 15 milliliters.

3. The resolution of an optical instrument, like a microscope, refers to its ability to distinguish between:

Correct answer: D

Rationale: The resolution of an optical instrument, such as a microscope, refers to its ability to distinguish between very close, nearly identical objects. This is crucial in microscopy to clearly visualize and differentiate fine details and structures. Resolving power plays a significant role in determining the quality and effectiveness of an optical instrument. Choices A, B, and C are incorrect because the resolution of an optical instrument does not primarily deal with different colors of light, presence or absence of light, or variations in intensity. Instead, it specifically focuses on the instrument's ability to differentiate between objects that are very close and nearly identical in nature.

4. The prefix giga is represented by the following notation ________.

Correct answer: A

Rationale: The correct answer is A: 'G'. The prefix 'giga' is commonly represented by the letter 'G' and corresponds to a factor of 10^9, which is equivalent to one billion. Choice B, 'm', represents the prefix 'milli', which corresponds to a factor of 10^-3, not 'giga'. Choice C, 'Gg', is incorrect as the prefix 'giga' is represented by a single letter 'G', not 'Gg'. Choice D, 'g', is incorrect as it represents the prefix 'gram' in the International System of Units (SI) and not the prefix 'giga'.

5. Which word has the same root as 'unscathed'?

Correct answer: C

Rationale: The word 'unscathed' means without harm or damage. The word 'scratch' shares the same root related to physical marks or damage, making it the correct choice. 'Category' and 'scar' do not have the same root as 'unscathed' and are not related to the concept of being unharmed, making them incorrect choices.

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