What is 0.5 liters in ml?

Correct Answer: A

Rationale: The correct answer is A: 500 ml. To convert liters to milliliters, you multiply the number of liters by 1000 because 1 liter is equal to 1000 milliliters. Therefore, 0.5 liters x 1000 = 500 milliliters. Choices B, C, and D are incorrect because they do not correctly convert 0.5 liters to milliliters based on the conversion factor of 1000 ml per liter.

Correct Answer: A

Rationale: The decimal 0.07 can be expressed as the fraction 7/100, where 7 is the numerator and 100 is the denominator. To simplify the fraction, you divide both the numerator and denominator by their greatest common divisor, which in this case is 1. Therefore, 7/100 is already in its simplest form and cannot be further simplified. Choices B, C, and D are incorrect fractions as they do not represent the decimal 0.07.

Correct Answer: B

Rationale: To convert liters to milliliters, you need to multiply by 1,000 since there are 1,000 milliliters in a liter. Therefore, 0.09 liters x 1,000 = 90 milliliters. Choice A, 0.09 ml, is incorrect as it represents the original volume in milliliters. Choices C and D, 900 ml and 9 ml, are incorrect as they miscalculate the conversion from liters to milliliters.

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.

Correct Answer: B

Rationale: The metric system was developed in France during the 1790s as a standardized system of measurement. This choice is correct because the metric system originated in France. Germany, Italy, and Spain did not play a role in the development of the metric system, making choices A, C, and D incorrect.

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.

Correct Answer: C

Rationale: The correct answer is C: 0.13 inches. When converting decimals to inches, the value remains the same. Choice A, 0.013 inches, represents a smaller value than 0.13 inches as it has an extra zero. Choice B, 1.3 inches, is incorrect as it is a larger value than 0.13 inches. Choice D, 13 inches, is significantly larger than 0.13 inches, making it an incorrect conversion.

Correct Answer: B

Rationale: The correct answer is B: 2.54 cm. One inch is equivalent to 2.54 centimeters in the metric system. This conversion factor is commonly used in converting measurements between the imperial and metric systems. Choice A (1.54 cm), Choice C (3.54 cm), and Choice D (4.54 cm) are incorrect conversions and do not represent the accurate metric equivalent of 1 inch.

Correct Answer: A

Rationale: To convert grams to kilograms, divide by 1,000 since there are 1,000 grams in a kilogram. Therefore, 34.5 grams · 1,000 = 0.0345 kilograms. The correct answer is 3.45 kg (not 3.45 grams, which is the amount given in the initial question). Choices B and C are incorrect as they do not involve the conversion from grams to kilograms. Choice D is also incorrect as it presents the value in grams instead of kilograms.