The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?
- A. The length of Napoleon's forearm
- B. 2
- C. 10
- D. Atomic weight of helium
Correct Answer: C
Rationale: The metric system is based on powers of 10, making calculations and conversions easier because each unit increases or decreases by a factor of 10.
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After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To determine how much money the shopper has left, add the amounts spent: $75.64 + $22.43 = $98.07. Then, subtract the total spent from the starting amount: $100.00 - $98.07 = $1.93 left. Therefore, choice A, $1.93, is the correct answer. Choice B, $5.00, is incorrect because it does not reflect the correct calculation. Choice C, $0.72, is incorrect as it does not consider the total amount spent. Choice D, $20.13, is incorrect because it does not reflect the remaining amount after the expenses.
Rewrite the following expression as a decimal: 5/8
- A. 0.7
- B. 0.325
- C. 0.625
- D. 5.8
Correct Answer: C
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 5 · 8 = 0.625. Therefore, the correct answer is 0.625. Choice A (0.7) is incorrect as it represents 7/10, choice B (0.325) is incorrect as it represents 325/1000, and choice D (5.8) is incorrect as it is not the result of dividing 5 by 8.
Convert the percentage to a decimal: 38%
- A. 3.8
- B. 0.38
- C. 0.038
- D. 38.0
Correct Answer: B
Rationale: To convert a percentage to a decimal, you divide the percentage by 100. Therefore, 38% as a decimal is 0.38 (38 · 100 = 0.38). Choice A, 3.8, is incorrect as it is equivalent to 380%. Choice C, 0.038, is incorrect as it represents 3.8%. Choice D, 38.0, is incorrect as it is still in percentage form.
A newborn weighs 8 pounds 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?
- A. A. 2268 grams
- B. B. 3629 grams
- C. C. 3770 grams
- D. D. 3856 grams
Correct Answer: B
Rationale: To convert pounds and ounces to grams:
8 pounds = 8 453.59 = 3,628.72 grams.
5 ounces = (5 · 16) 453.59 = 141.75 grams.
Total weight = 3,628.72 + 141.75 = 3,629 grams (rounded).
Therefore, the infant's weight is approximately 3,629 grams.
Choice A, 2268 grams, is incorrect as it does not account for the weight in ounces.
Choice C, 3770 grams, is incorrect as it is not the accurate converted weight.
Choice D, 3856 grams, is incorrect as it does not consider the conversion of ounces to grams.
Convert the fraction to the simplest possible ratio: 4/6
- A. 2:3
- B. 4:7
- C. 4:6
- D. 3:5
Correct Answer: A
Rationale: To simplify the fraction 4/6, you can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 4 by 2 gives 2, and dividing 6 by 2 gives 3. Therefore, the simplest ratio of 4/6 is 2:3. Choice B (4:7) is incorrect because it does not result from simplifying the fraction. Choice C (4:6) is incorrect as it represents the original fraction, not the simplest form. Choice D (3:5) is incorrect as it does not match the simplified ratio of 4/6.