Question

Mr. DeMouy is thinking of an irrational number between 4 and 9. Mrs. Nelson says that the number must be . Mr. DeMouy says this isn’t true and there are many irrational numbers between 4 and 9 other than . Is Mr. DeMouy right? If so, give 2 examples that Mr. DeMouy could give and say how you known each number is irrational. If Mr. DeMouy is not right, explain how you know this.

Answer 1

There are many irrational numbers between 4 an 9, so Mr. DeMouy is right. Two possible examples can be, 4.01001000100001...... another example would be 8.010100100010000100000....... These numbers are irrational because they're non-terminating so it goes on forever.