how many grams in 4 kilograms
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HESI A2

HESI A2 Math Practice Test 2024

1. How many grams are in 4 kilograms?

Correct answer: A

Rationale: The metric system is based on powers of 10. Since 1 kilogram equals 1000 grams, to convert 4 kilograms to grams, you multiply 4 by 1000. Therefore, 4 kilograms is equal to 4000 grams. Choice B (40) is incorrect because it represents grams in 4 decagrams, not kilograms. Choice C (500) is incorrect as it is the result of 4 hectograms, not kilograms. Choice D (0) is incorrect as it implies there are no grams in 4 kilograms, which is false.

2. Multiply: 6 × 0.06 =

Correct answer: C

Rationale: When multiplying 6 by 0.06, you can treat 0.06 as 6 hundredths. So, 6 × 0.06 is equivalent to 6 × 6 hundredths, which equals 0.36. The correct answer is 0.36. Choice A (0.0036) is incorrect because it represents 6 multiplied by 0.0006, not 0.06. Choice B (0.036) is incorrect as it represents 6 multiplied by 0.06 without considering the position of the decimal point. Choice D (3.6) is incorrect as it represents 6 multiplied by 6, not by 0.06.

3. Convert to metric: 7 grams = x milligrams

Correct answer: C

Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams is equal to 7,000 milligrams. Choice A (700 mg) is incorrect because it represents grams to milligrams incorrectly. Choice B (0.7 mg) is incorrect as it converts grams to milligrams erroneously by decimal placement. Choice D (0.07) is incorrect as it converts grams to milligrams inaccurately by misplacing the decimal point.

4. Convert 5 3/4 to a decimal. Round to the nearest tenth.

Correct answer: C

Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Therefore, the correct answer is 5.8. Choice A, 5.75, is the result before rounding to the nearest tenth. Choice B, 5.7, is incorrect as it does not account for the 0.05 difference when rounding. Choice D, 6, is the next whole number and is not the correct decimal equivalent of 5 3/4.

5. A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?

Correct answer: A

Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph × 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.

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