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What is 126% as a decimal?
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, divide the percentage value by 100. In this case, 126% as a decimal is calculated as 126 · 100 = 1.26. Therefore, 126% is equal to 1.26 as a decimal. Remember that 126% represents 126 out of 100 parts, which is equivalent to 1.26 in decimal form.
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Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.
Round to the nearest whole number. Change the fraction to a percent: 9/13.
- A. 33%
- B. 69%
- C. 72%
- D. 78%
Correct Answer: B
Rationale: To convert a fraction to a percentage, you divide the numerator by the denominator, then multiply by 100. For the fraction 9/13, (9/13) * 100 = 69%. When rounded to the nearest whole number, 69% remains as 69%. Therefore, the correct answer is 69% (Choice B).
Change 8.08 to a fraction, reduced to the lowest terms.
- A. 8 1\12
- B. 88/1000
- C. 8 2/25
- D. 80/100
Correct Answer: C
Rationale: To change 8.08 to a fraction, we note that 8.08 = 8 + 0.08 = 8 + 8/100 = 8 8/100 = 8 2/25. Therefore, the correct answer is C. Option A is incorrect as it represents a mixed number. Option B is incorrect as it does not represent the decimal 8.08 as a fraction. Option D is incorrect as it does not reduce the fraction to the lowest terms.
Convert to metric: 7 grams = x mg =
- A. 0.007 mg
- B. 7,000 mg
- C. 0.0007 mg
- D. 700 mg
Correct Answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in a gram. Therefore, 7 grams = 7 * 1,000 = 7,000 milligrams. The correct answer is 7,000 mg. Remember, when converting between grams and milligrams, the conversion factor is 1 gram = 1,000 milligrams. In this case, 7 grams multiplied by 1,000 gives you the correct answer of 7,000 milligrams.
Ratio and Proportion: 9 : X :: 5 : 300
- A. 540
- B. 600
- C. 450
- D. 500
Correct Answer: A
Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.