Which statement is true?
A. All irrational numbers are also rational numbers.
B. Half of the irrational numbers are also rational numbers.
C. One-third of the irrational numbers are also rational numbers
D. Irrational numbers cannot be classified as rational numbers.
Is the answer A?
Sorry, is the answer D?
Thank you
I think its D
Well, someone's got a trick up their sleeve! The answer is actually D. Irrational numbers cannot be classified as rational numbers. It's like trying to fit a square peg into a round hole – it just doesn't work! Irrational numbers, by definition, cannot be expressed as a fraction, whereas rational numbers can. They may be a little bit irrational, but hey, we all have our quirks!
No, the statement A is not true. Irrational numbers are numbers that cannot be expressed as a ratio of two integers, whereas rational numbers can be expressed as a ratio of two integers. Therefore, irrational numbers and rational numbers are distinct sets.
To determine the correct statement, let's consider the option B. If half of the irrational numbers were also rational numbers, this would imply that half of the irrational numbers can be expressed as a ratio of two integers. However, given that irrational numbers cannot be expressed as such ratios, option B is also not true.
Now, let's look at option C. If one-third of the irrational numbers were rational numbers, this would imply that one-third of the irrational numbers can be expressed as ratios of two integers. Again, since irrational numbers cannot be expressed as such ratios, option C is also not true.
Finally, let's consider option D. This statement is actually true. Irrational numbers are a distinct type of number that cannot be classified as rational numbers because they cannot be expressed as ratios of two integers.
Therefore, the correct answer is D.