Question

Which statement is true?

A.)Some integers are irrational numbers.
B.) Integers can be represented as mixed numbers.
C.)All rational numbers are positive numbers.
D.)All rational numbers can be written as a fraction​

Answer 1

Statement D is true: All rational numbers can be written as a fraction. This definition aligns with the concept that any rational number can be expressed in the form of a fraction with integer numerator and denominator.

Step-by-step explanation:

The correct statement is D.) All rational numbers can be written as a fraction. A rational number is defined as a number that can be written as a fraction where both the numerator and denominator are integers. The numerator represents the number of parts we have, and the denominator represents the total number of equal parts the whole is divided into. Therefore, every rational number can be expressed in the form of a/b, where a and b are integers and b is not equal to zero.

Statements A, B, and C are incorrect because:

• Integers are a subset of rational numbers and therefore cannot be irrational numbers, so statement A is false.
• Integers are whole numbers and are not represented as mixed numbers, which contain a fractional part, making statement B false.
• Rational numbers can be positive, negative, or zero, so statement C is also false since they are not all positive.