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What is the result of subtracting 10.012 by 0.120?
- A. 10
- B. 9.012
- C. 10.122
- D. 9.892
Correct Answer: D
Rationale: When subtracting decimal numbers, it is essential to align the decimal points and subtract each place value. In this case, subtracting 0.120 from 10.012 results in 9.892 (D) as the correct answer. The accurate calculation is 10.012 - 0.120 = 9.892.
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What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
What is the result of dividing 32 by 8/9?
- A. 36
- B. 4&1/9
- C. 28&4/9
- D. 4
Correct Answer: A
Rationale: To divide by a fraction, you multiply by its reciprocal. In this case, dividing 32 by 8/9 is the same as multiplying 32 by 9/8 (reciprocal of 8/9). Calculate 32 * 9/8 to get 36, which is the correct result. Therefore, the correct answer is A: 36. So, the correct answer is 36.
Solve for x when x=11. x + 44 / 2x =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11). First, perform the operation inside the parentheses: 2*11 = 22. Then, divide 44 by 22 to get 2. Finally, add 11 and 2 to get the result of 13. Therefore, when x=11, x + 44 / 2x equals 13, making choice C the correct answer.
What is the result of adding 6, 12.55, and 5.022 together?
- A. 18.55
- B. 23.572
- C. 30.025
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, you need to add them together. First, add 6 + 12.55 to get 18.55. Then, add 18.55 + 5.022 to get the final result. 18.55 + 5.022 equals 23.572. Therefore, the correct answer is 23.572, as it represents the sum of all three numbers.
Add: 1/4 + 3/8 =
- A. 5/8
- B. 1/2
- C. 4/12
- D. 1/3
Correct Answer: A
Rationale: To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.