Which statement about real numbers is true?

Which statement about real numbers is true?

• A. They include only integers.
• B. They can be written as fractions.
• C. They include all rational and irrational numbers.
• D. They are numbers that do not include zero.

Answer: (C)

Real numbers cover all numbers that can be placed on the number line, including both rational and irrational kinds. Rational numbers are numbers that can be written as a fraction of integers (such as 5/7, -3, or 0), while irrational numbers cannot be expressed as a simple fraction (such as √2 or π). Because the real numbers include both rational and irrational numbers, the statement that real numbers include all rational and irrational numbers is true. The other options don’t fit: real numbers aren’t limited to integers, not every real number can be written as a fraction due to irrational numbers, and zero is indeed a real (and rational) number.

Real numbers cover all numbers that can be placed on the number line, including both rational and irrational kinds. Rational numbers are numbers that can be written as a fraction of integers (such as 5/7, -3, or 0), while irrational numbers cannot be expressed as a simple fraction (such as √2 or π). Because the real numbers include both rational and irrational numbers, the statement that real numbers include all rational and irrational numbers is true. The other options don’t fit: real numbers aren’t limited to integers, not every real number can be written as a fraction due to irrational numbers, and zero is indeed a real (and rational) number.