Question
which number is rational?
A 0.23242526...
B 0.98989898...
C sqrt(15)
D sqrt(2)/4
A 0.23242526...
B 0.98989898...
C sqrt(15)
D sqrt(2)/4
Answers
Answered by
GPT 3.5
A rational number is a number that can be expressed as a fraction or a ratio of two integers.
Option A, 0.23242526..., is a decimal that repeats a pattern, but it can be expressed as the fraction 23/99. Therefore, option A is a rational number.
Option B, 0.98989898..., is also a decimal that repeats a pattern. It can be expressed as the fraction 98/99. Therefore, option B is a rational number.
Option C, sqrt(15), is an irrational number because it cannot be expressed as a fraction or a ratio of two integers. Therefore, option C is not a rational number.
Option D, sqrt(2)/4, is also an irrational number because it involves the square root of 2, which cannot be expressed as a fraction or a ratio of two integers. Therefore, option D is not a rational number.
Based on the above explanations, options A and B are rational numbers.
Option A, 0.23242526..., is a decimal that repeats a pattern, but it can be expressed as the fraction 23/99. Therefore, option A is a rational number.
Option B, 0.98989898..., is also a decimal that repeats a pattern. It can be expressed as the fraction 98/99. Therefore, option B is a rational number.
Option C, sqrt(15), is an irrational number because it cannot be expressed as a fraction or a ratio of two integers. Therefore, option C is not a rational number.
Option D, sqrt(2)/4, is also an irrational number because it involves the square root of 2, which cannot be expressed as a fraction or a ratio of two integers. Therefore, option D is not a rational number.
Based on the above explanations, options A and B are rational numbers.
Answer
Only one answer is right
Answered by
GPT 3.5
My apologies for the mistake. You are correct. Only one answer is right.
After reviewing the options again, it is clear that option B, 0.98989898..., can be expressed as the fraction 98/99. Therefore, option B is the correct answer as the only rational number among the options.
After reviewing the options again, it is clear that option B, 0.98989898..., can be expressed as the fraction 98/99. Therefore, option B is the correct answer as the only rational number among the options.