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In the number 743.25, which digit represents the tenths place?
- A. 3
- B. 4
- C. 2
- D. 5
Correct Answer: C
Rationale: In the number 743.25, the tenths place is the first digit to the right of the decimal point, which is 2. Therefore, the correct answer is C. Choice A (3) represents the hundredths place, choice B (4) represents the units place, and choice D (5) represents the hundredths place.
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12 is a/an:
- A. even number
- B. odd number
- C. prime number
- D. composite number
Correct Answer: A
Rationale: Rationale:
- An even number is an integer that is exactly divisible by 2, meaning there is no remainder when divided by 2.
- The number 12 can be divided by 2 evenly, as 12 · 2 = 6, with no remainder.
- Therefore, 12 is classified as an even number.
Change the following decimal to a percent: 0.09
- A. 9%
- B. 90%
- C. 1%
- D. 0%
Correct Answer: A
Rationale: To convert a decimal to a percentage, you multiply by 100. Therefore, 0.09 * 100 = 9%. The correct answer is A. Choice B (90%) is incorrect because multiplying 0.09 by 100 does not equal 90%. Choices C (1%) and D (0%) are incorrect as they do not reflect the accurate conversion of 0.09 to a percentage.
Which of the following percentages is equal to 0.45?
- A. 4.5%
- B. 0.045%
- C. 0.45%
- D. 45%
Correct Answer: D
Rationale: To convert 0.45 to a percentage, you multiply by 100: 0.45 100 = 45%. Therefore, the correct answer is D. 45%.
Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.
25 1/7 - 12 5/7 = ?
- A. 12 3/7
- B. 14 1/7
- C. 13 5/6
- D. 13
Correct Answer: A
Rationale: To subtract mixed numbers, subtract the whole numbers and fractions separately. If necessary, borrow from the whole number when the fraction in the minuend is smaller than the fraction in the subtrahend.
The whole numbers are:
25 - 12 = 13. The fractions: 1/7 - 5/7. Since 1/7 is smaller, borrow 1 from 13, making it 12. Then convert 1 whole into 7/7, so the fraction becomes: (7/7 + 1/7) - 5/7 = 8/7 - 5/7 = 3/7. Thus, 25 1/7 - 12 5/7 = 12 3/7.
Solve for x if x=11. x+(44/2x)
- A. 2.5
- B. 33
- C. 55
- D. 13
Correct Answer: A
Rationale: Substitute x=11 into the expression:
11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13
Therefore, the correct answer is 13.
Choice A (2.5) is incorrect as the correct result is 13, not 2.5.
Choice B (33) is incorrect because it does not result from the given expression.
Choice C (55) is incorrect as it does not match the calculated value.
Choice D (13) is incorrect because the correct solution is 13, not 2.5.