Nursing Elites

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

• A. 77/1000
• B. 70/99
• C. 777/900
• D. 7/9

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.

2. Convert 45 kg to pounds.

• A. 10 pounds
• B. 100 pounds
• C. 1,000 pounds
• D. 110 pounds

Correct answer: D

Rationale: To convert kilograms to pounds, you multiply the weight in kilograms by 2.20462. Therefore, to convert 45 kg to pounds, you would perform the calculation: 45 kg * 2.20462 = 99.2079 pounds. Rounding to the nearest whole number, the answer is approximately 110 pounds. Choice A (10 pounds) is incorrect as it is too low. Choice B (100 pounds) and Choice C (1,000 pounds) are also incorrect as they are too high. The correct conversion is closest to Choice D (110 pounds).

3. What is the result of subtracting 4.7 from 9.5?

• A. 4.8
• B. 4.9
• C. 4.6
• D. 4.7

Correct answer: A

Rationale: The correct subtraction is 9.5 - 4.7 = 4.8. Therefore, the correct answer is 4.8. Choice B (4.9) is incorrect because 9.5 - 4.7 is not equal to 4.9. Choice C (4.6) is incorrect as it is not the result of subtracting 4.7 from 9.5. Choice D (4.7) is the number being subtracted and not the result of the subtraction.

4. How many grams are in 10 kilograms?

• A. 10,000 grams
• B. 100 grams
• C. 1000 grams
• D. 100,000 grams

Correct answer: A

Rationale: The correct answer is A: 10,000 grams. There are 1,000 grams in a kilogram. Therefore, to find the number of grams in 10 kilograms, you multiply 10 (kilograms) by 1,000 (grams/kilogram) to get 10,000 grams. Choice B (100 grams) is incorrect as it represents the conversion for 1 kilogram, not 10 kilograms. Choice C (1000 grams) is incorrect as it is equal to 1 kilogram, not 10 kilograms. Choice D (100,000 grams) is incorrect as it represents the conversion for 100 kilograms, not 10 kilograms.

5. Solve for x. x/250 = 3/500

• A. 1.5
• B. 2
• C. 1500
• D. 25

Correct answer: A

Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A. Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.

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