HESI A2 Quizlet Math

Correct Answer: A

Rationale: To find the LCM of 4 and 6, identify the prime factors of each number: 4 = 2^2 and 6 = 2 * 3. The LCM includes all prime factors with the highest powers, so LCM(4, 6) = 2^2 * 3 = 12. Therefore, the correct answer is A (24), as it is the product of the prime factors 2^2 and 3, which is the least common multiple of 4 and 6. Choices B, C, and D are incorrect because they do not represent the correct combination of prime factors for the LCM of 4 and 6.

Correct Answer: B

Rationale: To find the result of multiplying 10 by 5, we simply perform the operation 10 x 5, which equals 50. This is because multiplication is a repeated addition, so 10 multiplied by 5 is the same as adding 10 together 5 times. Therefore, the correct answer is B. Choice A (65) is incorrect as it is the result of adding 10 and 5, not multiplying. Choice C (45) and D (55) are incorrect as they are not the result of multiplying 10 by 5.

Correct Answer: C

Rationale: To convert grams to milligrams, you need to multiply the number of grams by 1000 since there are 1000 milligrams in a gram. Therefore, to convert 63 grams to milligrams, you would calculate 63 x 1000 = 63,000 mg. This is why the correct answer is C. Choice A (630 mg) is incorrect as it does not account for the correct conversion factor of 1000 mg per gram. Choice B (63 mg) is also incorrect as it does not involve the necessary multiplication by 1000. Choice D (63,000 mg) is incorrect as it incorrectly uses a comma in the number, which is not standard in scientific notation.

Correct Answer: D

Rationale: To calculate the amount of medication delivered in one hour, first find the amount delivered in one minute: 40 drops/min * 0.05 mL/drop = 2 mL/min. Then, multiply by the number of minutes in an hour: 2 mL/min * 60 min = 120 mL. Therefore, the correct answer is D (120 milliliters). Summary: A: Incorrect. Not enough medication delivered. B: Incorrect. Not enough medication delivered. C: Incorrect. Too low of an amount delivered.

Correct Answer: C

Rationale: To convert 5 3/4 to a decimal, we first convert the mixed number to an improper fraction: 5 3/4 = (4*5 + 3)/4 = 23/4. Then, divide the numerator by the denominator to get the decimal: 23 ÷ 4 = 5.75. When rounded to the nearest tenth, 5.75 becomes 5.8. Therefore, the correct answer is C (5.8). Choices A (5.75) and B (5.7) are incorrect as they do not account for rounding to the nearest tenth. Choice D (6) is incorrect as it is the closest whole number approximation, but does not accurately represent 5 3/4 as a decimal rounded to the nearest tenth.