Which statement describes Real Numbers?

Which statement describes Real Numbers?

• A. The set of natural numbers
• B. The set of all rational and irrational numbers.
• C. The set of complex numbers
• D. The set of integers

Answer: (B)

Real numbers are everything you can place on a number line. They include two big families: rational numbers, which can be written as fractions, and irrational numbers, which cannot be written as fractions (like sqrt(2) or pi). Together, all rational and irrational numbers make up the real numbers. The other ideas describe smaller sets within the real numbers: natural numbers are 1, 2, 3, and so on; integers include positive, negative numbers and zero; both are subsets of real numbers. Complex numbers are of the form a + bi and include imaginary parts, so they’re broader than real numbers, though real numbers are the subset where the imaginary part is zero. So the statement that describes Real Numbers is the one that says it is the set of all rational and irrational numbers.

Real numbers are everything you can place on a number line. They include two big families: rational numbers, which can be written as fractions, and irrational numbers, which cannot be written as fractions (like sqrt(2) or pi). Together, all rational and irrational numbers make up the real numbers. The other ideas describe smaller sets within the real numbers: natural numbers are 1, 2, 3, and so on; integers include positive, negative numbers and zero; both are subsets of real numbers. Complex numbers are of the form a + bi and include imaginary parts, so they’re broader than real numbers, though real numbers are the subset where the imaginary part is zero. So the statement that describes Real Numbers is the one that says it is the set of all rational and irrational numbers.