change the following percentages to decimals 763
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HESI A2

HESI A2 Math Practice Test 2022

1. Change the following percentage to a decimal: 76.3%

Correct answer: C

Rationale: To convert a percentage to a decimal, divide by 100. In this case, to convert 76.3% to a decimal, you move the decimal point two places to the left, resulting in 0.763. Therefore, the correct answer is C. Choice A (0.0763) is incorrect as it represents 7.63% as a decimal. Choice B (7) and Choice D (7.63) are not correct conversions of the given percentage to a decimal.

2. Convert 0.25 to a fraction.

Correct answer: A

Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.

3. Convert 2 teaspoons to milliliters.

Correct answer: C

Rationale: To convert teaspoons to milliliters, we use the conversion factor of 1 teaspoon = approximately 4.93 milliliters. Multiplying 2 teaspoons by 4.93 gives us 9.86 milliliters. Therefore, the correct answer is 9.86 milliliters. Choice A (4.3 milliliters) is incorrect as it doesn't align with the conversion factor. Choice B (9 milliliters) is incorrect because it doesn't consider the precise conversion factor. Choice D (4 milliliters) is incorrect as it doesn't account for the accurate conversion from teaspoons to milliliters.

4. If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.

5. How many liters are in 300 milliliters?

Correct answer: A

Rationale: 300 milliliters is equivalent to 0.3 liters. To convert milliliters to liters, you need to move the decimal three places to the left. Therefore, the correct answer is A. Choice B (3 liters) is incorrect as it represents the conversion of 3000 milliliters. Choice C (0.03 liters) is incorrect as it represents the conversion of 30 milliliters. Choice D (3.3 liters) is also incorrect as it is not the correct conversion of 300 milliliters.

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