scientific notation is a way to represent very large or small numbers in a compact form if a number is written as 482 x 103 what is the value of the n
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HESI A2

HESI A2 Math Practice Test 2024

1. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?

Correct answer: C

Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.

2. Convert 2100 to standard time.

Correct answer: C

Rationale: Military time is based on a 24-hour clock. To convert 2100 hours to standard time, subtract 1200 from the time if it is greater than or equal to 1300. In this case, 2100 - 1200 = 900, which corresponds to 9:00 PM in standard time. Choice A, 12:00 PM, is incorrect because 2100 is in the evening, not noon. Choice B, 2:00 AM, is incorrect as it represents the early morning hours. Choice D, 2:00 PM, is incorrect as it is in the afternoon, not the evening.

3. What is the volume of water needed to fill a rectangular swimming pool with dimensions 10 meters by 5 meters and a depth of 2 meters?

Correct answer: B

Rationale: To find the volume of the rectangular swimming pool, you need to multiply the length by the width by the depth. Volume = Length x Width x Depth. Therefore, Volume = 10m x 5m x 2m = 100 cubic meters. This means it takes 100 cubic meters of water to fill the pool. Choices A, C, and D are incorrect as they do not correctly calculate the volume based on the provided dimensions.

4. How many gallons are in 576 fluid ounces?

Correct answer: A

Rationale: To convert fluid ounces to gallons, you need to know that there are 128 fluid ounces in a gallon. To find how many gallons are in 576 fluid ounces, divide 576 by 128, which equals 4.5 gallons. Since we are looking for the closest whole number, the answer is 4 gallons. Choice A is correct. Choice B, C, and D are incorrect as they do not accurately represent the conversion from fluid ounces to gallons.

5. What is the result of the addition: 34 + 4 + 234?

Correct answer: D

Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.

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