How many significant figures are there in the number 04560700?

Correct Answer: B

Rationale: The correct answer is B (5 significant figures) because leading zeros are not considered significant. In the number 04560700, the zeros before the 4 are placeholders and do not add to the precision of the number. Therefore, only the digits 4, 5, 6, 0, and 7 are significant. Choice A (4) is incorrect because it does not account for the zeros after the 6. Choice C (7) is incorrect as it counts all the digits including the leading zeros. Choice D (8) is incorrect as it includes all the digits, including non-significant zeros.

Correct Answer: D

Rationale: In pharmacology and health sciences, understanding and working with different units of measurement, such as volume, is crucial for accurate dosing and calculations. In this question, the volume of 781.2 cm³ needs to be expressed in liters. The correct answer is D) 0.7812 L. To convert cubic centimeters (cm³) to liters (L), we need to remember that 1 liter is equal to 1000 cubic centimeters. Therefore, to convert 781.2 cm³ to liters, we divide 781.2 by 1000, which gives us 0.7812 liters. Now let's analyze why the other options are incorrect: A) 781.2 L - This is the same value as the initial volume but in liters, which is incorrect as the conversion requires dividing by 1000. B) 78.12 L - This option is also incorrect as it is a result of misplacing the decimal point in the conversion. C) 7.812 L - Similar to option B, this answer is a miscalculation of the conversion factor. Understanding these conversions is essential for healthcare professionals to ensure accurate medication dosages and formulations. Practicing these conversions helps reinforce mathematical skills necessary for safe and effective pharmacological practice.

Correct Answer: B

Rationale: To convert 4338 mL to qt, first convert mL to L by dividing by 1000 (4338 mL / 1000 = 4.338 L). Then, convert L to qt using the conversion factor 1 L = 0.946 qt. So, 4.338 L * 0.946 qt/L = 4.092 qt (Answer B). Choice A (4598 qt) is incorrect as it does not follow the correct conversion process. Choice C (4.092 10 3 qt) is incorrect due to incorrect formatting and notation. Choice D (4092 qt) is incorrect as it uses the wrong conversion factor.

Correct Answer: B

Rationale: To convert 4 mi to km, first convert miles to yards: 4 mi * 1760 yd/mi = 7040 yd. Then convert yards to meters: 7040 yd * 0.9144 m/yd = 6437.216 m. Finally, convert meters to kilometers: 6437.216 m/1000 m/km = 6.437216 km. Rounding to three significant figures, the answer is 3.69 x 10^1 km (B). Other choices are incorrect because they do not correctly convert miles to kilometers or have calculation errors.

Correct Answer: A

Rationale: To convert 0494 to L, we first convert it to inches: 494 cm ÷ 54 cm/in = 9.148 in. Then, we convert inches to L: 9.148 in × 1 L/54 in = 0.169 L. The correct answer is A: 1.40 101 L, which is the correct conversion of 0.169 L to scientific notation. Choices B, C, and D are incorrect due to incorrect conversions or not being in scientific notation.