The Rational numbers include which of the following?fractionsall square rootspositive integersnegative integers

The Rational numbers include which of the following? fractions, all square roots, positive integers, negative integers.

Step 1: Understand the question. The question is asking which types of numbers are included in the set of Rational numbers.

Step 2: Define Rational numbers. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero.

Step 3: Analyze the options.

• Fractions: Fractions are included in the set of Rational numbers because they can be expressed as a ratio of two integers.
• All square roots: Not all square roots are included in the set of Rational numbers. Only square roots that can be expressed as a fraction are considered Rational numbers. For example, √4 can be expressed as 2/1, so it is a Rational number. However, √2 cannot be expressed as a fraction, so it is not a Rational number.
• Positive integers: Positive integers are included in the set of Rational numbers because they can be expressed as a fraction with a denominator of 1.
• Negative integers: Negative integers are also included in the set of Rational numbers because they can be expressed as a fraction with a negative numerator and a denominator of 1.

Step 4: Determine the answer. Based on the analysis, the Rational numbers include fractions, positive integers, and negative integers. However, not all square roots are included in the set of Rational numbers.

Step 5: Provide the answer. The Rational numbers include fractions, positive integers, and negative integers.