Integers are _____ irrational numbers.
always
sometimes
never
never.
Only numbers that cannot be expresssed as integers or fractions are irrational.
never
Integers are never irrational numbers.
To understand why, it's important to know the definitions of integers and irrational numbers. Integers are numbers without any fractional or decimal parts and include positive numbers, negative numbers, and zero. Examples of integers are -3, 0, and 7.
On the other hand, irrational numbers are numbers that cannot be expressed as a ratio of two integers, and they have decimal representations that neither terminate nor repeat. Common examples of irrational numbers include √2 and π.
Since integers are rational numbers (numbers that can be expressed as a ratio of two integers), they cannot be irrational numbers. Therefore, integers are never irrational numbers.