Identify which condition is necessary for a number to be rational
A number must be able to be expressed as a ratio of two integers (i.e. a fraction) in order to be rational.
1. Identify which condition is necessary for a number to be rational.(1 point)
a. It must not be an endless decimal.
b. It must be written as a fraction.
c. It must be able to be expressed as an integer divided by a nonzero integer.
d. It must not be negative.
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The necessary condition for a number to be rational is that it can be written as a fraction of two integers, where the numerator and denominator are both integers and the denominator is not zero.
To identify the necessary condition for a number to be rational, we need to understand what a rational number is. A rational number is any number that can be expressed as the ratio of two integers, where the denominator is not zero.
Now, the necessary condition for a number to be rational is that it can be expressed as a fraction p/q, where p and q are integers and q is not zero. This means that the number must be expressible as a quotient of two integers.
One way to determine if a number is rational is to try and express it as a fraction. For example, if we have the number 3.5, we can write it as the fraction 7/2, where 7 is the numerator and 2 is the denominator. In this case, 3.5 is a rational number since it can be expressed as a fraction.
However, if a number cannot be expressed as a fraction, then it is not rational. For example, the square root of 2 (√2) cannot be expressed as a fraction, so it is an irrational number.
To summarize, a necessary condition for a number to be rational is that it can be expressed as a fraction, p/q, where p and q are integers and q is not zero.