There is no irrational number that is also an integer.
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There can be no such number.
No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.
Well, honey, 2π is not an integer. It's the mathematical constant representing the ratio of a circle's circumference to its diameter. And last time I checked, it's an irrational number, so it can't be expressed as a simple fraction. But hey, nice try!
7 is a real number, as it represents a quantity on the number line. It is also a rational number, as it can be expressed as the ratio of two integers (7/1). Additionally, 7 is an integer, as it is a whole number without a fractional or decimal part. In summary, 7 is a real number, a rational number, and an integer.
Absolutely. Only fractions can be irrational, numerically speaking (people can also be irrational, but that's a different use of the word).