Question

Which of the following is an irrational number: 25−−√, π, or 027?

Answer 1

Of the following numbers, which is an integer but does not belong in either of the subsets of integers: −13, 0, or 13?

Answer 2

Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses

rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers

irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi

integers, rational numbers, natural numbers, whole numbers
integers, rational numbers, natural numbers, whole numbers

natural numbers, whole numbers, integers, rational numbers

Answer 3

An irrational number is a number that cannot be expressed as a fraction (or ratio) of two integers.

Of the options given, the number 25−−√ is not an irrational number because it can be written as the square root of 25, which is 5.

On the other hand, π is an irrational number. It is a mathematical constant, approximately equal to 3.14159, and cannot be expressed as a fraction.

Finally, 027 is not an irrational number because it can be written as the fraction 27/1.

Therefore, the irrational number among the options given is π.