A Rational Number, denoted by Q, is any number that can be expressed in the form:
where:
In simple words, rational numbers are fractions, integers, terminating decimals, and repeating decimals.
Set Representation
Key Features of Rational Numbers
Examples of Rational Numbers
⭐ 5 Examples of Rational Numbers (with explanation)
📝Explanation: 0.75 = 75/100 → rational.
📝 Description: Denominator must be non-zero.
📝 Description: √5 is irrational.
📝 Description: All are correct.
📝 Description: Repeating decimals represent rational numbers.
📝 Description: –7 = –7/1.
📝 Description: All integers can be written as p/q.
📝 Description: 0.125 = 1/8.
📝 Description: √9 = 3 → rational.
📝 Description: All options are correct.
📝 Description: 1/2 = 0.5, 2/3 ≈ 0.66 → between 0.5 & 1.
📝 Description: Standard recurring decimal conversion.
📝 Description: √7 is irrational.
📝 Description: LCM = 4
= 3/4 + 2/4 = 5/4
📝 Description: Reciprocal = flip numerator & denominator.
📝 Description: 3/5 = 0.6
4/5 = 0.8
7/10 = 0.7 → lies between.
📝 Description: Rational numbers are dense.
📝 Description: Repeating decimals → rational.
📝 Description: p/1 = p → integer.
📝 Description: Integers are rational because p/1 form.
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