What is the base unit for volume of a solid in the metric system?
- A. cubic meters
- B. meters cubed
- C. grams
- D. centimeters
Correct Answer: A
Rationale: The correct answer is 'cubic meters' (A) which is the base unit for volume of a solid in the metric system. Volume is measured in cubic units (length width height) for solids. Choice B, 'meters cubed,' is not the standard way to express volume in the metric system. Choices C and D, 'grams' and 'centimeters,' are units of mass and length respectively, not volume.
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What is 0.5 liters in milliliters?
- A. 500 ml
- B. 50 ml
- C. 5 ml
- D. 0.5 ml
Correct Answer: A
Rationale: To convert liters to milliliters, you need to multiply by 1000 because 1 liter is equal to 1000 milliliters. Therefore, when you convert 0.5 liters to milliliters, you get 500 milliliters (0.5 * 1000 = 500). This conversion is commonly used in various situations where different units of volume are required. Choices B, C, and D are incorrect because they do not follow the correct conversion factor between liters and milliliters.
Convert 100 grams to kilograms.
- A. 0.1 kg
- B. 1 kg
- C. 10 kg
- D. 0.01 kg
Correct Answer: A
Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. So, 100 grams divided by 1000 equals 0.1 kilograms, making choice A the correct answer. Choices B, C, and D are incorrect because they do not involve the correct conversion factor or calculation. Choice B of 1 kg is the equivalent of 1000 grams, which is 10 times the given value of 100 grams, making it too large. Choice C of 10 kg is 100 times the given value, and choice D of 0.01 kg is 10 times smaller than the correct conversion.
What is 0.5 x 200?
- A. 100
- B. 50
- C. 150
- D. 200
Correct Answer: A
Rationale: To find the product of 0.5 and 200, you multiply the two numbers, which equals 100. The correct answer is A. Choice B, 50, is the result of multiplying 0.5 by 100 instead of 200. Choice C, 150, is the result of adding 0.5 and 200 instead of multiplying them. Choice D, 200, is the second number in the multiplication operation and not the correct product.
Convert 0.0345 kilograms to grams (g).
- A. 3.45 grams
- B. 34.5 grams
- C. 345 grams
- D. 3450 grams
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.
Convert 5 kilometers to meters.
- A. 50 meters
- B. 500 meters
- C. 5000 meters
- D. 0.5 meters
Correct Answer: C
Rationale: To convert kilometers to meters, you need to multiply by 1000 because there are 1000 meters in 1 kilometer. Therefore, 5 kilometers x 1000 = 5000 meters. Choice A (50 meters) is incorrect because it underestimates the conversion. Choice B (500 meters) is incorrect as it also underestimates the conversion. Choice D (0.5 meters) is incorrect as it incorrectly represents the conversion as less than a kilometer.
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