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Grade 6 - Mathematics
3.23 Irrational Numbers

Irrational number

  • Can not be expressed as a fraction.
  • In decimal form, irrational numbers do not repeat in a pattern or terminate.
  • They go on forever or infinity.

Examples
16 = 4 rational
pi = 3.141592654..... irrational
2 = 1.414213562..... irrational
.6781011132 irrational
4 = 2 rational
0.33333333......... rational (since it is a repeating decimal 0.3).
0.34343434.........rational (since it is a repeating decimal 0.34).
0.34582192.........irrational

Rational and irrational numbers together are real numbers.


Directions: Choose if the number is rational or irrational. Also write at least 5 examples of irrational numbers of your own.

Q 1: 256.0123876..............
Rational
Irrational

Q 2: 7.25689.................
Irrational
Rational

Q 3: 5.780780780............
Irrational
Rational

Q 4: 786.256256.............
Rational
Irrational

Q 5: 786.21867.......
Irrational
Rational

Q 6: Pi
Rational
Irrational

Q 7: 5.780123..............
Rational
Irrational

Q 8: 256.010101.........
Irrational
Rational

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Question 10: This question is available to subscribers only!


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