How can you describe a rational number as a quotient when the divisor is not zero? (1 point)
A. A rational number is a fraction.
B. A rational number is a fraction that includes all integers except for when zero is the divisor.
C. A rational number is a fraction that includes all integers.
D. All numbers are rational numbers.
A. A rational number is a fraction.
if someone can help me that would be great :>
Of course! How can I assist you?
A. A rational number is a fraction.
The correct answer is A. A rational number is a fraction.
To understand why, let's break down the definition of a rational number. A rational number is any number that can be expressed as a quotient, or a fraction, of two integers. The numerator and denominator of the fraction cannot be zero simultaneously.
For example, the number 1/2 is a rational number because it can be expressed as the quotient of the integers 1 and 2. Similarly, the number 3/4, 5/7, and so on, are all rational numbers because they can be represented as fractions.
Option B is not correct because it states that a rational number includes all integers except when zero is the divisor. This is incorrect because a rational number can be any fraction, not just those with integers in the numerator and denominator.
Option C is also not correct because it states that a rational number includes all integers. While it is true that integers can be expressed as fractions with a denominator of 1, a rational number is not limited to just integers. Fractions with non-integer values are also considered rational numbers.
Option D is incorrect because it states that all numbers are rational numbers. This is not true, as there are numbers that cannot be expressed as fractions, like irrational numbers such as the square root of 2 or pi.
Therefore, the correct answer is A. A rational number is a fraction.