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### Grade 6 - Mathematics3.23 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
 Ö16 = 4 rational pi = 3.141592654…..... irrational Ö2 = 1.414213562…..... irrational .6781011132… irrational Ö4 = 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: An irrational number is any real number that is not rational.truefalse Q 2: 5.780780780............RationalIrrational Q 3: 256.0123876..............IrrationalRational Q 4: 786.256256.............IrrationalRational Q 5: 5.780123..............IrrationalRational Q 6: Irrational numbers are numbers that can be written as decimals but not as fractions.FalseTrue Q 7: Pi IrrationalRational Q 8: 7.25689.................IrrationalRational Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!