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Transcript
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Medina 1 Numbers can either be rational or irrational Rational Numbers Irrational Numbers Numbers that make sense Numbers that don’t make sense The formal definition The formal definition for rational number is for irrational number is a number that can be a number that can NOT written as a simple be written as a simple ratio (fraction). ratio (fraction). Does not need to be converted into a decimal but if you choose to convert to decimal form, the decimal will terminate (stops) or has a pattern (repeating decimal) then the number is rational. *Repeating decimals are denoted with the line above the repeating part of decimal Ex: 𝟎. 𝟑, 𝟎. 𝟐𝟓, 𝟎. 𝟓𝟏𝟗 Can only be written as non-perfect square root or in decimal form. The decimal is a non-terminating(keeps going and going) and the decimal does not have a pattern then the number is irrational. *Non-terminating decimals without a pattern are denoted with three dots behind the number Ex: 𝟎. 𝟏𝟐𝟓𝟕𝟖 …, 𝟑. 𝟏𝟒𝟏𝟓𝟗𝟐 … Medina 2 https://www.youtube.com/watch?v=QIoVPtbEUjw Medina 3 1 −8 2, 4.257 … , 0, 2 3. 8 {7, 8, 9, 𝜋} 7 −8, 9 𝜋 0 2, List these given numbers in each number set Rational Irrational Medina 4