Which option is both a natural number and a rational number?
Answer and explanation
Correct answer: 14
14 is a natural number because it is a positive integer, and it can be written as \(\frac{14}{1}\), so it is rational as well (a rational number can be expressed as \(\frac{p}{q}\), \(q\neq0\)). \(\sqrt{14}\) is irrational, -14 is not a natural number (it's negative), and 0.14 is rational but not a natural number. Exam tip: natural numbers are positive integers (1,2,3,...); any number expressible as \(\frac{p}{q}\) with integer p,q (q≠0) is rational.
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
14 is a natural number because it is a positive integer, and it can be written as \(\frac{14}{1}\), so it is rational as well (a rational number can be expressed as \(\frac{p}{q}\), \(q\neq0\)). \(\sqrt{14}\) is irrational, -14 is not a natural number (it's negative), and 0.14 is rational but not a natural number. Exam tip: natural numbers are positive integers (1,2,3,...); any number expressible as \(\frac{p}{q}\) with integer p,q (q≠0) is rational.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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