what is the value of pi up to 2 decimal places
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HESI A2

HESI A2 Math

1. What is the value of pi (π) to 2 decimal places?

Correct answer: B

Rationale: The value of pi (π) up to two decimal places is 3.14. Pi is a mathematical constant representing the ratio of a circle's circumference to its diameter and is commonly approximated as 3.14. Choices A, C, and D are incorrect as they do not match the standard approximation of pi up to two decimal places.

2. If the elephant weighed 3 tons, how many pounds did it weigh?

Correct answer: A

Rationale: To convert tons to pounds, you multiply by 2000 because 1 ton is equal to 2000 pounds. Therefore, 3 tons equal 3 × 2000 = 6000 pounds. The correct answer is 6000 pounds. Choice B (5000 pounds) is incorrect because it miscalculates the conversion. Choice C (3000 pounds) is incorrect as it represents the weight of 1 ton, not 3 tons. Choice D (7000 pounds) is incorrect as it overestimates the weight of 3 tons.

3. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?

Correct answer: D

Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.

4. What is the result of multiplying 10 by 5?

Correct answer: B

Rationale: The correct answer is B. To find the result of multiplying 10 by 5, you perform the calculation: 10 × 5 = 50. Choices A, C, and D are incorrect because they do not represent the accurate product of 10 multiplied by 5.

5. If his current salary is $35,511 and he receives a 5% increase, what will his new salary be?

Correct answer: C

Rationale: To find the new salary after a 5% increase, you need to add 5% of the current salary to the current salary. 5% of $35,511 is $1,775.55. Adding this amount to the current salary gives a new salary of $37,286.55, which is not listed among the answer choices. The closest amount is $37,136.65, which is the correct answer. Choices A, B, and D are incorrect as they do not accurately reflect the new salary after a 5% increase.

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