Which numbers are both integers and irrational numbers? (1 point)
No numbers can be both integers and irrational numbers.
Integers are numbers that can be expressed as whole numbers (positive, negative, or zero), while irrational numbers cannot be expressed as a ratio of two integers and do not terminate or repeat.
There are no numbers that are both integers and irrational.
Integers are numbers without fractions or decimals, including whole numbers and their negatives. Irrational numbers, on the other hand, cannot be expressed as a fraction and have an infinite number of non-repeating decimal places. Examples of irrational numbers include π (pi) and √2 (the square root of 2).
Since integers can be written as whole numbers or fractions with a denominator of 1, they are always rational. Therefore, there are no numbers that fulfill both the requirements of being an integer and an irrational number.
Integers are whole numbers that can be positive, negative, or zero. Irrational numbers, on the other hand, are numbers that cannot be expressed as a fraction of two integers and have an infinite non-repeating decimal representation.
While integers and irrational numbers are both types of numbers, they are distinct from each other. The set of integers contains whole numbers like -3, 0, and 7, while the set of irrational numbers includes numbers like √2, π (pi), and e.
Therefore, there are no numbers that are both integers and irrational numbers. The two sets are mutually exclusive.