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Which of the following numbers is the largest? (0.667, 0.68, 0.6, 0.0688)
- A. 0.667
- B. 0.68
- C. 0.6
- D. 0.0688
Correct Answer: B
Rationale: To determine the largest number among the given decimals, compare them. 0.68 is the largest number as it is greater than 0.667, 0.6, and 0.0688. The correct answer is 0.68 because it has the highest value. The other options are smaller: 0.667 is less than 0.68, 0.6 is less than 0.68, and 0.0688 is significantly smaller than 0.68.
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What is the value of x in the ratio and proportion 0.1:10=x:400?
- A. 5
- B. 4
- C. 50
- D. 25
Correct Answer: B
Rationale: To solve the proportion 0.1:10=x:400, first, simplify the left side to 1:100. Then, set up the proportion as 1:100=x:400. Cross multiply to get x = 4. Therefore, the correct answer is B. Choice A (5) is incorrect because it does not match the calculated value of x. Choice C (50) is incorrect as it is not the result of solving the proportion provided. Choice D (25) is incorrect as it does not align with the correct calculation of x.
Donna has 4.2 liters of fertilizer. If each pecan tree needs 0.7 liters of fertilizer and Donna uses all the fertilizer, how many pecan trees does Donna have?
- A. 6 trees
- B. 8 trees
- C. 5 trees
- D. 4 trees
Correct Answer: A
Rationale: To find the number of trees, divide the total amount of fertilizer (4.2 liters) by the amount needed for each tree (0.7 liters). 4.2 / 0.7 = 6 trees. Therefore, Donna has 6 pecan trees. Choice A is correct because the calculation is done accurately. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.
A nurse needs to administer 0.8 milliliters of medication. The only available syringe measures in teaspoons. How many teaspoons should the nurse use?
- A. 0.2 teaspoons
- B. 0.4 teaspoons
- C. 0.6 teaspoons
- D. 0.8 teaspoons
Correct Answer: B
Rationale: 1 milliliter is approximately equal to 0.2 teaspoons. To find out how many teaspoons are in 0.8 milliliters, we can set up a proportion: 0.8 milliliters * 0.2 teaspoons/1 milliliter = 0.16 teaspoons. Since 0.16 teaspoons is not one of the answer choices, we need to convert it to a more practical measurement. The closest option is 0.4 teaspoons, making it the correct answer. Choice A, 0.2 teaspoons, is incorrect because 0.8 milliliters is more than that. Choices C and D, 0.6 teaspoons and 0.8 teaspoons, respectively, are also incorrect based on the conversion factor of 1 milliliter to 0.2 teaspoons.
Express 0.608 as a percent.
- A. 60.8%
- B. 68%
- C. 0%
- D. 6%
Correct Answer: A
Rationale: To convert a decimal to a percentage, you move the decimal point two places to the right and add a percentage sign. Therefore, 0.608 as a percent is 60.8%. The correct answer is A. Choice B (68%) is incorrect because it represents the percentage for a different decimal value. Choice C (0%) is incorrect as it represents 0 as a percentage, not 0.608. Choice D (6%) is incorrect as it also represents a different decimal value, not 0.608.
What is 33% of 300?
- A. 3
- B. 9
- C. 33
- D. 99
Correct Answer: D
Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.