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What is the sum of 6 + 12.55 + 5.022?
- A. 18.55
- B. 23.572
- C. 30.572
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, add them together. 6 + 12.55 equals 18.55. Adding 5.022 to 18.55 gives a total of 23.572. Therefore, the correct answer is 23.572. The sum of these numbers is calculated by adding the individual values together while maintaining the decimal points in their respective places to get the correct total. It's essential to be precise with decimal numbers to ensure the accuracy of the final sum.
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How do you change 12.5% to a decimal?
- A. 1.25
- B. 0.125
- C. 0.0125
- D. 12.5
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to change 12.5% to a decimal, you divide 12.5 by 100, which equals 0.125. Therefore, the correct answer is B) 0.125.
Divide: 413 divided by 0.05 =
- A. 7,350
- B. 73.5
- C. 8,260
- D. 82.6
Correct Answer: C
Rationale: To divide 413 by 0.05, we can rewrite 0.05 as 5/100 to make the division easier. Then, divide 413 by 5 and multiply the result by 100.
413 ÷ 5 = 82.6
82.6 x 100 = 8,260
Therefore, the correct answer is C: 8,260.
Choice A is incorrect as it does not result from the correct division process. Choice B is incorrect because it does not account for multiplying by 100 after dividing by 5. Choice D is incorrect as it is the result of dividing by 0.1 instead of 0.05.
What is 80% of 55?
- A. 45
- B. 44
- C. 40
- D. 39
Correct Answer: B
Rationale: To calculate 80% of a number, you multiply the number by 0.80 or 80/100. In this case, to find 80% of 55, you would do 55 * 0.80, which equals 44. Therefore, the correct answer is 44, corresponding to option B. When finding a percentage of a number, remember that you are essentially finding a fraction of that number based on the percentage given. In this case, 80% is the same as 80/100 or 0.80 as a decimal. Multiplying this by 55 gives you the result of 44. Therefore, option B is the correct answer.
Add: 11,702 + 11,509 =
- A. 23,201
- B. 22,201
- C. 23,211
- D. 22,211
Correct Answer: C
Rationale: The correct answer is C (23,211). To arrive at this answer, you add the two numbers together: 11,702 + 11,509 = 23,211. This is correct because when adding numbers, you add the digits in the same place value position, carrying over when the sum exceeds 9.
Explanation:
1. Add the ones place: 2 + 9 = 11 (write down 1, carry over 1).
2. Add the tens place: 0 + 0 (from the carried-over 1) + 0 = 0 (write down 0, no carry over).
3. Add the hundreds place: 7 + 5 (from the carried-over 1) = 12 (write down 2, carry over 1).
4. Add the thousands place: 1 + 1 (from the carried-over 1) + 1 = 3 (write down 3).
Therefore,
If a person reads two chapters a day, with each chapter having 6 pages, and there are 798 pages in total, how many days will it take them to finish reading?
- A. 133
- B. 399
- C. 66 1/2
- D. 75 1/2
Correct Answer: C
Rationale: To determine the number of days it will take to finish reading 798 pages, divide the total number of pages by the number of pages read in a day. Since the person reads 2 chapters per day, equivalent to 12 pages per day (2 chapters * 6 pages per chapter), it will take them 798 / 12 = 66.5 days, which is the same as 66 1/2 days. Therefore, the correct answer is 66 1/2, representing the number of days needed to complete reading all 798 pages if two chapters of 6 pages each are read daily.