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How many kilograms are in 0.12 grams?
- A. 120.0 kilograms
- B. 0.0012 kilograms
- C. 0.00012 kilograms
- D. 12.0 kilograms
Correct Answer: C
Rationale: To convert grams to kilograms, we need to divide by 1000 because there are 1000 grams in a kilogram. So, to convert 0.12 grams to kilograms, we divide 0.12 by 1000, which equals 0.00012 kilograms. Therefore, choice C (0.00012 kilograms) is the correct answer.
Choice A (120.0 kilograms) is incorrect as it incorrectly multiplies instead of dividing by 1000. Choice B (0.0012 kilograms) is incorrect as it divides 0.12 by 100 instead of 1000. Choice D (12.0 kilograms) is incorrect as it wrongly drops the zero in the decimal point conversion.
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Subtract: 9/10 - 2/5
- A. 1/2
- B. 3/10
- C. 4/10
- D. 1/4
Correct Answer: A
Rationale: To subtract fractions, you need a common denominator. In this case, convert 2/5 to an equivalent fraction with a denominator of 10, giving you 4/10. Now subtract: 9/10 - 4/10 = 5/10. Simplifying 5/10 to its lowest terms, you get 1/2. Therefore, the correct answer is 1/2, which represents the result of subtracting 2/5 from 9/10.
What is the temperature in Celsius when 98.6 degrees Fahrenheit is converted?
- A. 30 Celsius
- B. 37 Celsius
- C. 47 Celsius
- D. 21 Celsius
Correct Answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: Celsius = (Fahrenheit - 32) x 5/9. Substituting 98.6 for Fahrenheit gives us: Celsius = (98.6 - 32) x 5/9 = 37 Celsius. Therefore, the correct answer is 37 Celsius. It is important to understand this conversion formula to accurately convert temperatures between the Fahrenheit and Celsius scales.
If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?
- A. 133 days
- B. 399 days
- C. 66 1/2 days
- D. 75 1/2 days
Correct Answer: C
Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.
Compare the relationships of these numbers. ¼ is-------- than 2/24
- A. less than
- B. equal to
- C. greater than
Correct Answer: C
Rationale: To compare ¼ and 2/24, convert both fractions to have a common denominator. LCD is 24. ¼ = 6/24 and 2/24 = 2/24. 6/24 is greater than 2/24 since 6 is larger than 2. Therefore, the correct answer is C (greater than). Choice A (less than) and B (equal to) are incorrect as ¼ is larger than 2/24 when compared using the same denominator. Choice D is incomplete and doesn't provide any comparison.
Round to the nearest whole number: What is 17 out of 68 as a percent?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator (17) by the denominator (68) to get approximately 0.25. Then, multiply this decimal by 100 to get the percentage. 0.25 * 100 = 25%. Since we are asked to round to the nearest whole number percentage, the answer is 25%. Therefore, the correct choice is B, 25%.