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Identify which condition is necessary for a number to be rational.(1 point) It must not be negative. It must be able to be expr...
Identify which condition is necessary for a number to be rational. (1 point) O It must not be negative. O It must be able to be expressed as an integer divided by a nonzero integer. O It must not be an endless decimal. O It must be written as a fraction.Identify which condition is necessary for a number to be rational. (1 point) 1 It must not be negative. 2 It must be able to be expressed as an integer divided by a nonzero integer. 3 It must not be an endless decimal. 4 It must be written as a fraction
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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.**
So, the correct answer is: **O It must be able to be expressed as an integer divided by a nonzero integer.**
Rational numbers can be expressed as a fraction (which is the same as being expressed as an integer divided by a nonzero integer), but the fraction form is not the defining characteristic. A rational number can be written in fraction form, but not all fractions are explicitly written as such. For example, the integer 5 is rational because it can be expressed as \( \frac{5}{1} \).
**It must be able to be expressed as an integer divided by a nonzero integer.**
So, the correct answer is: **O It must be able to be expressed as an integer divided by a nonzero integer.**
Rational numbers can be expressed as a fraction (which is the same as being expressed as an integer divided by a nonzero integer), but the fraction form is not the defining characteristic. A rational number can be written in fraction form, but not all fractions are explicitly written as such. For example, the integer 5 is rational because it can be expressed as \( \frac{5}{1} \).
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