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Report all decimal places: 3.7 + 7.289 + 4 = ?
- A. 15.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To solve this calculation, add the numbers together: 3.7 + 7.289 + 4 = 15.989. Therefore, the correct answer is A. When adding decimal numbers, it is crucial to maintain the decimal places throughout the calculation to ensure accuracy and report the sum with all decimal places intact. In this case, the sum should be reported as 15.989 to preserve the precision of the original numbers. Remember, when working with decimals, it is essential to pay attention to the decimal places to prevent rounding errors and accurately represent the sum of the numbers involved.
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If the quotient of X and 12 is 4, what is the divisor?
- A. X+12
- B. X-12
- C. 4
- D. 3
Correct Answer: C
Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.
Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.
What is the result of dividing 0.6 by 0.12?
- A. 5
- B. 4
- C. 6
- D. 3
Correct Answer: A
Rationale: To divide 0.6 by 0.12, you can perform the operation as follows: 0.6 · 0.12 = 5. Therefore, the correct answer is 5, as the result of dividing these two numbers. When dividing decimals, you can move the decimal point to the right on both numbers until the divisor is a whole number, then divide as you would with whole numbers. In this case, you can multiply both 0.6 and 0.12 by 10 to make the divisor a whole number, resulting in 6 · 1 = 5.
Which number is the highest?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.
Add 7/8 + 9/10 + 6/5 as mixed numbers.
- A. 3 & 39/40
- B. 22/23
- C. 2 & 39/40
- D. 3 & 22/23
Correct Answer: C
Rationale: To add fractions, it is essential to have a common denominator. The least common multiple of 8, 10, and 5 is 40. Converting each fraction to have a denominator of 40, we get 7/8 as 35/40, 9/10 as 36/40, and 6/5 as 48/40. Adding the numerators gives 35 + 36 + 48 = 119. This is equivalent to 2 wholes (40/40) and a remainder of 39/40. Therefore, the sum is 2 & 39/40.
If a die is rolled, what is the probability of rolling an odd number?
- A. 50%
- B. 75%
- C. 16.70%
- D. 33%
Correct Answer: A
Rationale: When rolling a fair six-sided die, there are 3 odd numbers out of a total of 6 possible outcomes (1, 3, 5). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 1 out of 2 or 50%. Therefore, the correct answer is A.