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. Multiply: 32 × 5 and express the result in decimal form.

Correct answer: D

Rationale: To find the product of 32 and 5, you simply multiply the two numbers: 32 × 5 = 160. Therefore, when expressed in decimal form, the answer is 1.6. Choices A, B, and C are incorrect as they do not represent the correct multiplication result in decimal form. Choice A is way too small, choice B is also too small, and choice C is close but still not the correct result.

3. If the outside temperature is currently 15 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?

Correct answer: A

Rationale: To convert Celsius to Fahrenheit, you can use the formula: (°C × 9/5) + 32 = °F. Substituting 15°C into the formula gives us (15 × 9/5) + 32 = 59°F. Therefore, the approximate temperature on the Fahrenheit scale for 15 degrees Celsius is 59 degrees Fahrenheit. Choice B, C, and D are incorrect as they do not align with the correct conversion formula and calculation.

4. After the young mother goes shopping and spends $101.85 on groceries, $21.90 at the dry cleaners, and $42.66 at the pet store, she has $200.00 in cash. How much money would she have left after her day of shopping?

Correct answer: A

Rationale: The correct answer is A, $33.59. To find out how much money she would have left, we need to calculate the total spending by adding the amounts spent at the groceries, dry cleaners, and pet store: $101.85 + $21.90 + $42.66 = $166.41. Subtract the total spending from the initial cash amount to determine the remaining cash: $200.00 - $166.41 = $33.59. Choice B, $29.59, is incorrect as it does not accurately reflect the correct calculation. Choices C and D, $25.59 and $21.59 respectively, are also incorrect as they do not consider the correct total spending amount and subtraction from the initial cash.

5. Multiply: 22 × 75 = and express the answer in decimal form.

Correct answer: D

Rationale: The correct answer is D: 16.5. To find the product of 22 and 75, you multiply the two numbers together. Therefore, 22 × 75 = 1650, which is correctly represented as 16.5 in decimal form. Choices A, B, and C are incorrect as they do not reflect the correct decimal form of the product of 22 and 75. Choice A, 0.00165, is incorrect as it is a very small value that does not match the result of multiplying 22 and 75. Choice B, 0.0165, is also incorrect as it is one tenth of the correct answer. Choice C, 0.165, is incorrect as it is one hundredth of the correct answer. Therefore, the only correct representation in decimal form for the product of 22 and 75 is 16.5.

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