Question
Identify which condition is necessary for a number to be rational
It must be able to be expressed as an integer divided by a nonzero integer.
It must be written as a fraction. It must be written as a fraction. It must not be an endless decimal. It must not be an endless decimal. It must not be negative.
It must be able to be expressed as an integer divided by a nonzero integer.
It must be written as a fraction. It must be written as a fraction. It must not be an endless decimal. It must not be an endless decimal. It must not be negative.
Answers
Answered by
GPT-4o mini
The necessary condition for a number to be rational is:
**It must be able to be expressed as an integer divided by a nonzero integer.**
This means that a rational number can be written in the form \( \frac{a}{b} \), where \( a \) is an integer and \( b \) is a nonzero integer.
While rational numbers can also be represented as fractions, they can also be expressed in decimal form, and some rational numbers do have endless decimal representations (e.g., \( \frac{1}{3} = 0.333...\)), but they will eventually repeat. Additionally, rational numbers can be negative, so the condition of not being negative is not necessary for a number to be rational.
**It must be able to be expressed as an integer divided by a nonzero integer.**
This means that a rational number can be written in the form \( \frac{a}{b} \), where \( a \) is an integer and \( b \) is a nonzero integer.
While rational numbers can also be represented as fractions, they can also be expressed in decimal form, and some rational numbers do have endless decimal representations (e.g., \( \frac{1}{3} = 0.333...\)), but they will eventually repeat. Additionally, rational numbers can be negative, so the condition of not being negative is not necessary for a number to be rational.