Nokea
What is the product of two irrational numbers?
- A. Irrational
- B. Rational
- C. Irrational or rational
- D. Complex and imaginary
Correct Answer: C
Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (√2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.
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Express as an improper fraction: 8 3/7
- A. 11/7
- B. 21/8
- C. 5/3
- D. 59/7
Correct Answer: D
Rationale: To convert the mixed number 8 3/7 to an improper fraction, multiply the whole number (8) by the denominator (7) and add the numerator (3) to get the numerator of the improper fraction. This gives us (8*7 + 3) / 7 = 59/7. Therefore, the correct answer is 59/7. Choice A (11/7), choice B (21/8), and choice C (5/3) are incorrect because they do not correctly convert the mixed number to an improper fraction.
How should 0.80 be written as a percent?
- A. 40%
- B. 125%
- C. 90%
- D. 80%
Correct Answer: D
Rationale: To convert a decimal to a percent, move the decimal point two places to the right. Therefore, 0.80 written as a percent is 80%. Choice A is incorrect as it represents 40%. Choice B is incorrect as it represents 125%. Choice C is incorrect as it represents 90%.
Round to the nearest tenth: 8.067.
- A. 8.07
- B. 8.1
- C. 8
- D. 8.11
Correct Answer: A
Rationale: When rounding a number to the nearest tenth, you look at the digit in the hundredths place. Since 8.067 has a 6 in the hundredths place, which is equal to or greater than 5, you round the tenths place up by 1. Therefore, rounding 8.067 to the nearest tenth gives 8.07. Choice B (8.1) would be incorrect because 8.067 is closer to 8.1 than to 8, but it's not quite there. Choice C (8) is incorrect as it would be rounding down, and Choice D (8.11) is incorrect as it is rounding to the nearest hundredth, not the nearest tenth.
What is the result of adding 1/6 and 1/2, expressed in reduced form?
- A. 9/7
- B. 1/3
- C. 31/36
- D. 3/5
Correct Answer: B
Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.
Express 18/5 as a reduced mixed number.
- A. 3 3/5
- B. 3 1/15
- C. 3 1/18
- D. 3 1/54
Correct Answer: A
Rationale: To convert the improper fraction 18/5 to a mixed number, divide 18 by 5. The quotient is 3 with a remainder of 3, which translates to 3 3/5. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the conversion of 18/5 to a mixed number.