Multiplying Rational and Irrational Numbers
In this task, you'll perform multiplication on rational and irrational numbers and determine whether the sets
are closed under multiplication.
Part A
Assume that variables x and y represent rational numbers. So, they can be written as x = 4 and y = , where a,
b, c, and d are integers, and b and d are not equal to zero. Use these variables and the closure property of
integers to determine whether the product of two rational numbers is rational or irrational.
? Question
Complete the hypothesis about the product of two rational numbers.
Select the correct answer from each drop-down menu.
The product of two rational numbers is
numbers is equivalent to the ratio of
number.
number because multiplying two rational
which is
