Exam-style question
Try this first
A student says, "Every number can be written as a fraction, so there are no irrational numbers." What is the best response?.
- A.The statement is correct because irrational numbers do not exist
- B.The statement is incorrect because some numbers cannot be written as a fraction
- C.The statement is correct because √2 is a whole number
- D.The statement is incorrect because irrational numbers are always negative
Model answer
What a good answer should say
- The statement is incorrect because some numbers cannot be written as a fraction
Explanation
Why this works
The defining feature of an irrational number is that it cannot be written as a fraction. √2 is an example.
Common mistake
No common mistake is linked to this question yet.