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Which of the following decimals is the largest?
- A. 0.6
- B. 0.667
- C. 0.0688
- D. 0.68
Correct Answer: D
Rationale: To determine the largest decimal among the options, you need to compare them by looking at the digits after the decimal point. When comparing 0.6, 0.667, 0.0688, and 0.68, consider that 0.6 is equivalent to 0.600, 0.667 remains 0.667, 0.0688 is already in its most precise form, and 0.68 is the same as 0.680. By comparing them, you can see that 0.68 is the largest decimal among the options provided. Remember, when comparing decimals, it's important to line up the decimal points to make accurate comparisons.
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What is 5 & 3/4 divided by 1/2 when reduced?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.
What is the sum of the following numbers with all decimal places reported: 3.7 + 7.289 + 4 = ?
- A. 14.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To find the sum, add the numbers together: 3.7 + 7.289 + 4 = 14.989. The correct answer is A, 14.989, as it accurately represents the sum of the given decimal numbers with all decimal places reported. Remember to sum up each digit correctly and include all decimal places in your final answer for accurate calculations. In this case, it is essential to maintain the precision of the decimal places provided for each number to ensure the accuracy of the final result. Adding the numbers correctly while considering the decimal places is crucial to obtaining the correct sum.
To ride a certain amusement park attraction, a person must be 48 inches tall. How many feet tall must a person be to meet this requirement? (Enter a numeric value only.)
- A. 4
- B. 5
- C. 6
- D. 3
Correct Answer: A
Rationale: To convert inches to feet, you need to divide by 12 because there are 12 inches in a foot. Therefore, 48 inches · 12 = 4 feet. Hence, the correct answer is A) 4 feet.
A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?
- A. 50
- B. 51
- C. 53
- D. 54
Correct Answer: C
Rationale: To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students · 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.
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.