Compare 0.045 to 0.054.
- A. Equal
- B. Greater than
- C. Less than or equal
- D. Less than
Correct Answer: D
Rationale: When comparing the decimal numbers 0.045 and 0.054, 0.045 is less than 0.054. In decimal numbers, the value increases from left to right. The digit in the tenths place in 0.045 is 0, while the digit in the tenths place in 0.054 is 5. Since 5 is greater than 0, 0.054 is greater than 0.045. Therefore, 0.045 is less than 0.054.
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A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 5.4 hours
- C. 4 hours
- D. 5 hours
Correct Answer: A
Rationale: To determine the total time taken to complete the 24-mile course, we sum the time taken for each set of 6 miles. The time taken for the first 6 miles is 1 hour, the second set of 6 miles took 1.2 hours, the third set took 1.5 hours, and the fourth set took 1.6 hours. Adding these times together: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to finish the 24-mile course.
Subtract 5/6 - 3/4.
- A. 1/2
- B. 1/12
- C. 2/24
- D. 1
Correct Answer: B
Rationale: To subtract fractions, you need a common denominator. The common denominator between 6 and 4 is 12. Convert both fractions to have a denominator of 12. 5/6 becomes 10/12 and 3/4 becomes 9/12. Subtracting 10/12 - 9/12 results in 1/12. Therefore, the correct answer is 1/12.
A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?
- A. 6 pounds, 13 ounces
- B. 13 pounds, 6 ounces
- C. 10 pounds, 13 ounces
- D. 6 pounds, 6 ounces
Correct Answer: B
Rationale: To convert 6,067 grams to pounds, divide by 453.59, giving 13.36 pounds. To find ounces, subtract the whole pounds (13) and multiply the decimal portion (0.36) by 16 (ounces in a pound), resulting in 5.76 ounces. Therefore, the infant's weight is 13 pounds and 5.76 ounces, which rounds to 13 pounds, 6 ounces (option B). Option A is incorrect as it doesn't account for the decimal portion of the pound. Option C is incorrect as it overestimates the weight. Option D is incorrect as it underestimates the weight by not considering the decimal portion.
A healthcare professional works in a military hospital from 1300 to 2000 hours. How many hours does this healthcare professional work?
- A. 8 hours
- B. 11 hours
- C. 7 hours
- D. 12 hours
Correct Answer: C
Rationale: To calculate the number of hours worked, subtract the starting time from the ending time. In military time, 2000 is equivalent to 8:00 PM, and 1300 is equivalent to 1:00 PM. Subtracting 1:00 PM from 8:00 PM gives us 7 hours of work. Therefore, the correct answer is 7 hours, as the healthcare professional worked from 1:00 PM to 8:00 PM.
What is the result of subtracting 28 3/4 from 5 5/6?
- A. 23 & 1/2
- B. 22
- C. 22 & 11/12
- D. 34 & 1/12
Correct Answer: C
Rationale: To subtract fractions, the denominators must be the same. Convert 5 5/6 to 5 10/12 to make the subtraction easier. Therefore, 5 10/12 - 28 3/4 = (5 10/12) - (28 9/12) = -23 11/12. As the result is a negative number, the answer is 22 & 11/12. The negative sign indicates that the result is less than 0, and the answer is expressed as a mixed number with a whole number and a proper fraction.
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