Is 22/7 Rational or Irrational?
22/7 – Do you know what this is? It’s the approximate value of π (pi). But before we dive deeper, let’s ask: What exactly is pi?
Pi (π) is the ratio of the circumference of a circle to its diameter. It’s a fascinating number because it never ends and never repeats – making it an irrational number.
Now, here’s the twist: many people think that 22/7 itself is irrational because it’s often used as a substitute for π. But is that correct?
Let’s break it down:
🔹 Rational Numbers
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Numbers that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0.
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Examples: 1/2, 3/4, -7/5.
🔹 Irrational Numbers
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Numbers that cannot be expressed as a fraction of integers.
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They go on forever without repeating.
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Examples: π, √2, e.
So, what about 22/7?
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It is a fraction (p/q form).
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Therefore, 22/7 is a rational number.
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It’s just a very close approximation of π, but not equal to π.
✅ Conclusion
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π is irrational.
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22/7 is rational.
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Don’t confuse the approximation with the actual number!
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