change the following percentages to decimals 003
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HESI A2

HESI A2 Math Practice Test 2024

1. Change the following percentage to a decimal: 0.03%

Correct answer: B

Rationale: To convert a percentage to a decimal, divide by 100. Therefore, 0.03% ÷ 100 = 0.0003. The correct answer is B. Choice A (0.03) is incorrect because it does not account for the conversion of percentage to decimal. Choice C (0.3) is incorrect as it represents 0.03 as 30% rather than 0.03%. Choice D (0.003) is also incorrect as it does not accurately convert 0.03% to a decimal.

2. Which numeric system was a base 20 system?

Correct answer: A

Rationale: The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.

3. Solve for x: 120:x::40:0.5.

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

4. How many centimeters are there in 1 foot?

Correct answer: D

Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.

5. What is the result of subtracting 10.012 from 0.120?

Correct answer: B

Rationale: To find the result of subtracting 10.012 from 0.120, you need to subtract the two numbers: 0.120 - 10.012 = -9.892. The correct answer is B, 9.892. Choices A, C, and D are incorrect because they do not reflect the correct subtraction operation and result.

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