Correct Answer: B

Rationale: To convert kilograms to grams, you need to multiply by 1,000 since 1 kilogram is equal to 1,000 grams. Therefore, 0.0345 kg multiplied by 1,000 equals 34.5 grams. Choices A, C, and D are incorrect because they do not correctly convert kilograms to grams. A states 3.45 grams, which is off by a factor of 10. C and D overestimate the conversion by considering the decimal point in the original value as a whole number. Hence, the correct answer is B, 34.5 grams.

Correct Answer: B

Rationale: The correct answer is B: 0.16 inches. This value is already in its simplest form and represents sixteen one-hundredths of an inch. Choice A, 0.016 inches, is incorrect as it represents sixteen thousandths of an inch, not the given value. Choice C, 1.6 inches, is incorrect as it represents one and six-tenths inches, which is larger than the given value. Choice D, 16 inches, is incorrect as it represents sixteen inches, which is significantly larger than the given value of 0.16 inches.

Correct Answer: B

Rationale: The correct answer is B: 100 cm. One meter is equivalent to 100 centimeters. This conversion is based on the metric system, where the prefix 'centi-' represents one hundredth. Choices A, C, and D are incorrect because they do not accurately reflect the conversion of meters to centimeters. Choice A, '1/10 cm,' is incorrect as it represents a fraction of a centimeter, not the full conversion from meters to centimeters. Choice C, '10 cm,' is incorrect as it represents the conversion from decimeters to centimeters, not meters to centimeters. Choice D, '1000 cm,' is incorrect as it represents the conversion from meters to millimeters, not centimeters.

Correct Answer: B

Rationale: To convert millimeters to meters, you need to divide by 1,000 since there are 1,000 millimeters in a meter. Therefore, 3.54 mm · 1,000 = 0.00354 meters. Choice A (0.0354 m) is incorrect as it is 10 times the correct conversion. Choice C (35.4 m) is incorrect as it would be the equivalent of 35,400 millimeters. Choice D (0.035 m) is also incorrect as it is 100 times greater than the correct conversion.

Correct Answer: A

Rationale: To convert 0.125 to a fraction, we write it as 125/1000. Simplifying by dividing both the numerator and denominator by 125 gives us 1/8. Therefore, choice A (1/8) is the correct answer. Choice B (1/4) is incorrect as it represents 0.25, not 0.125. Choice C (1/2) is incorrect as it represents 0.5, not 0.125. Choice D (1/16) is incorrect as it represents 0.0625, not 0.125.