Answer:
see below
Step-by-step explanation:
<em>Which of the equations from part A represent adding two rational numbers?</em>
Equations A, C, E
<em>What hypothesis can you make about the sum of two rational numbers?</em>
The sum of two rationals will always be rational
<em>Will the addition result in a rational or an irrational number?</em>
Our hypothesis is that the result is always rational. This can be justified by the fact that the sum of two rationals a/b + c/d, where a, b, c, d are integers and bd≠0, is (ad+bc)/(bd), a rational, based on closure of integers for multiplication and addition.
<em>Which equations represent the sum of a rational and an irrational number?</em>
Equations B, F
<em>What hypothesis can you make about the sum of an irrational and a rational number?</em>
The sum of a rational and irrational number is always irrational.
