change the following decimals to percents 098
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HESI A2

HESI A2 Practice Test Math

1. Convert the decimal 0.98 to a percent.

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 × 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.

2. Percent (%) is a way to express a fraction with a denominator of 100. 125% can be expressed as a fraction in lowest terms. Which of the following represents 125% as a fraction?

Correct answer: A

Rationale: Percent (%) represents a value out of 100. To convert 125% to a fraction, it is 125/100. Simplifying 125/100 by dividing both the numerator and denominator by 25 gives us 5/4. Therefore, the correct answer is A. Choice B (1/8), Choice C (5/2), and Choice D (25/2) do not represent 125% as a fraction in lowest terms.

3. Bai Lin estimates that of her monthly paycheck, she puts 10% in savings and spends 30% on living expenses. If she has $1,545 left after that, how much is her monthly paycheck?

Correct answer: C

Rationale: Let X be Bai Lin's monthly paycheck. From the given information, she puts 10% of X in savings and spends 30% on living expenses. This means she retains 60% (100% - 10% - 30%) of her paycheck, which equals $1,545. Therefore, 60% of X is $1,545. To find X, we divide $1,545 by 60% (or 0.60), which gives us X = $2,575. Hence, Bai Lin's monthly paycheck is $2,575. Therefore, the correct answer is $2,575. Choices A, B, and D are incorrect because they do not match the calculated monthly paycheck based on the given percentages and remaining amount.

4. In a local baseball team, 4 players, which represent 5% of the team, have long hair, and the rest have short hair. How many short-haired players are there on the team?

Correct answer: C

Rationale: Given that 4 players represent 5% of the team, let's denote the total number of players as x. The equation to represent this situation is 0.05x = 4. Solving for x, we get x = 80, which is the total number of players on the team. Since 4 players have long hair, the remaining players have short hair, which is 80 - 4 = 76. Therefore, there are 76 short-haired players on the team. Choices A, B, and D are incorrect as they do not consider the total number of players correctly, leading to inaccurate calculations.

5. What number is 6 equal to 15% of?

Correct answer: B

Rationale: To find the number that 6 is equal to 15% of, we set up the equation 0.15x = 6, where x is the unknown number. To solve for x, we divide 6 by 0.15, which gives us x = 40. Therefore, 6 is equal to 15% of the number 40. Choice A (0.9) is incorrect as it is not the result of dividing 6 by 0.15. Choices C (80) and D (90) are incorrect as they do not satisfy the equation 0.15x = 6.

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