How can you describe a rational number as a quotient when the divisor is not zero?(1 point)
Responses
A rational number is a fraction.
A rational number is a fraction.
A rational number is a fraction that includes all integers.
A rational number is a fraction that includes all integers.
A rational number is a fraction that includes all integers except for when zero is the divisor.
A rational number is a fraction that includes all integers except for when zero is the divisor.
All numbers are rational numbers.
None of the above responses accurately describe a rational number as a quotient when the divisor is not zero. A rational number can be defined as a number that can be expressed as a quotient or fraction, where both the numerator and denominator are integers and the denominator is not zero.
But which one is it?
Based on the given options, the most accurate response would be:
"A rational number is a fraction that includes all integers except for when zero is the divisor."
A rational number is a fraction that includes all integers except for when zero is the divisor.
To describe a rational number as a quotient when the divisor is not zero, we need to understand what a rational number is. A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers.
So, the correct option is "A rational number is a fraction that includes all integers except for when zero is the divisor." This is because in a rational number, we can have any integer as the numerator or denominator except for when the divisor is zero. Dividing any integer by zero is undefined, which means we cannot have zero as the denominator in a rational number.
To understand the concept of rational numbers further, we can consider an example. Let's say we want to describe the number 3 as a rational number. We can write it as 3/1 since any number divided by 1 is the number itself. In this case, the numerator is 3 and the denominator is 1, both of which are integers. Therefore, 3 is a rational number.
In summary, a rational number can be described as a fraction where the divisor is not zero, and both the numerator and denominator are integers.