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1. 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.

2. What unit is used to measure density in the metric system?

• A. grams per cubic meter (g/m³)
• B. grams per liter (g/L)
• C. grams per cubic centimeter (g/cm³)
• D. grams per square meter (g/m²)

Correct answer: A

Rationale: Density is measured in grams per cubic meter (g/m³) in the metric system. This unit represents the amount of mass (in grams) per unit volume (cubic meter). Choice B, grams per liter (g/L), is incorrect as density is not typically measured in liters. Choice C, grams per cubic centimeter (g/cm³), is a common unit for density but not the standard SI unit. Choice D, grams per square meter (g/m²), is a unit for surface density, not volumetric density. Therefore, the correct unit for measuring density in the metric system is grams per cubic meter (g/m³).

3. Convert 0.04 grams to milligrams.

• A. 40 mg
• B. 4 mg
• C. 400 mg
• D. 0.4 mg

Correct answer: A

Rationale: To convert 0.04 grams to milligrams, you need to multiply by 1000, not 10000. Therefore, 0.04 grams equals 40 milligrams (0.04g * 1000 = 40mg). Choice B, '4 mg,' is incorrect as it reflects the value as if it was in grams. Choice C, '400 mg,' is incorrect as it incorrectly multiplies by 100 instead of 1000. Choice D, '0.4 mg,' is incorrect as it incorrectly moves the decimal point to the right instead of multiplying by 1000.

4. What is the equivalent of 3.54 millimeters in meters (m)?

• A. 0.0354 m
• B. 0.00354 m
• C. 35.4 m
• D. 0.035 m

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.

5. Convert 1.5 kilometers to meters.

• A. 1,500 meters
• B. 150 meters
• C. 15,000 meters
• D. 1.5 meters

Correct answer: A

Rationale: To convert kilometers to meters, you need to multiply by 1,000 since there are 1,000 meters in a kilometer. Therefore, 1.5 kilometers is equal to 1,500 meters (1.5 x 1,000 = 1,500). Choice A, '1,500 meters,' is the correct answer. Choice B, '150 meters,' is incorrect as it represents converting 0.15 kilometers to meters. Choice C, '15,000 meters,' is incorrect as it represents multiplying by 10,000 instead of 1,000. Choice D, '1.5 meters,' is incorrect as it doesn't convert the kilometers to meters accurately.

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