Question

In this journal assignment, you will deepen your understanding of what makes a number “rational” or “irrational.” Use the following questions to guide your journal response. When writing your response, be sure to use complete sentences and clearly explain your thoughts, correctly using math terms where applicable.
How do you decide if a number is rational or irrational? Use your own words to describe the thought process you would use to arrive at this decision.
Look up the definitions of the words “rational” and “irrational” in a dictionary. Think about the following questions:
How is the definition of the word “rational” related to the mathematical concept of rational numbers?
How is the definition of the word “irrational" related to the mathematical concept of irrational numbers?

Answer 1

1) Rational numbers are the numbers which can be expressed as the fraction.

In mathematical form, you can say: anything like: p/q  (where, q≠ 0)

2) An Irrational number is the number which can't be expressed in the form of fraction, it repeats upto infinite digits.

Hope this helps!