How can you describe a rational number as a quotient when the divisor is not zero?(1 point)
Responses
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.
b. A rational number is a fraction that includes all integers except for when zero is the divisor.
Which of the following is a rational number?(1 point)
Responses
88√
the fraction with numerator 8 and denominator square root of 8
7–√
square root of 7
7.8
7.8
π
b. A rational number is a fraction that includes all integers except for when zero is the divisor.
The correct response is b. A rational number is a fraction that includes all integers except for when zero is the divisor.
To understand why this is the correct answer, let's break it down:
A rational number can be expressed as a ratio or a fraction of two integers: the numerator and the denominator. The numerator represents the quantity being considered, while the denominator represents the unit or the relative size of the quantity.
The key characteristic of a rational number is that the denominator must not be zero. Dividing by zero is undefined and does not yield a meaningful result.
So, when the divisor is not zero, we can form a valid fraction and describe it as a rational number. This aligns with option b, which correctly states that a rational number is a fraction that includes all integers except when zero is used as the divisor.