Help with a word problem!!

Question

A student stated that the sum of two real numbers is always an integer. IS the student correct? Explain why it why not and provide an example to support your answer.

Answer 1

The student is not correct. Integers are whole numbers, while real numbers can be decimals or fractions. For example, 0.4 + 1.2 = 1.6 which is not a whole number, so it is not an integer.

Answer 2

Try to think of a counterexample to prove them wrong! Not all real numbers are integers… choose one that's not and add it to another real number.