Which statement is true?
(1 point)
Every real number is an integer.
Every rational number is a real number.
Every rational number is a perfect square.
Every integer is an irrational number.
The statement "Every rational number is a real number" is true.
The statement "Every rational number is a real number" is true.
To determine which statement is true, we can examine each statement individually:
1. "Every real number is an integer": This statement is false. Real numbers are a broad category that includes both integers and non-integers. For example, 3 is a real number and an integer, but 1/2 is a real number that is not an integer.
2. "Every rational number is a real number": This statement is true. Rational numbers are a subset of real numbers, which also includes irrational numbers. Rational numbers can be expressed as fractions where the numerator and denominator are integers.
3. "Every rational number is a perfect square": This statement is false. Rational numbers can include both perfect squares (like 4, 9, 16, etc.) as well as non-perfect squares (like 2, 3, 5, etc.).
4. "Every integer is an irrational number": This statement is false. Integers are whole numbers that can be positive, negative, or zero. Irrational numbers, on the other hand, cannot be expressed as fractions and they often have non-repeating, non-terminating decimals. Integers can always be expressed as fractions with a denominator of 1, making them rational numbers.
In summary, the only true statement is "Every rational number is a real number."