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. Solve for x: 5x + 10 = 20.

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

3. What is the result of multiplying 8 by 2?

Correct answer: A

Rationale: The correct answer is A: 16. When you multiply 8 by 2, the result is 16. Choice B (22), Choice C (24), and Choice D (32) are incorrect as they do not represent the correct multiplication of 8 by 2.

4. How many grams are in 4 kilograms?

Correct answer: A

Rationale: The correct answer is A: 4000 grams. To convert kilograms to grams, you need to multiply the number of kilograms by 1000 since there are 1000 grams in 1 kilogram. Therefore, 4 kilograms is equal to 4 x 1000 = 4000 grams. Choice B (3000 grams), C (4500 grams), and D (3500 grams) are incorrect as they do not correctly convert 4 kilograms into grams.

5. Divide: 727 ÷ 6 =

Correct answer: C

Rationale: When dividing 727 by 6, the quotient is 121 with a remainder of 1. The correct answer is, therefore, 121 r1. Choice A (120 r1) is incorrect as the quotient is 121, not 120. Choice B (120 r3) is also incorrect as the remainder should be 1, not 3. Choice D (127 r3) is incorrect as both the quotient and remainder are different from the correct values obtained by dividing 727 by 6.

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