Explore rational numbers and irrational numbers here.[br]Rational numbers can be expressed in the form p/q where p, q are integers and q [math]\ne[/math]0, and they may be terminating decimals or non terminating but repeating(recurring).[br][br]Irrational numbers are decimals which are non terminating and non repeating(non recurring) [br][br]For rational number 3/23 see that the digits 1304347826086956521739 is repeated, if we set the[br]the slider "number of digits in column to show" to 22 digits.[br][br]What happens if you change the slider value?[br][br]Try the rational number 2/17[br]Adjust the slider "number of digits in column to show" such that you can see the repetition of digits.[br]What are the digits repeated?[br][br]Explore the other rational numbers and irrational numbers![br][br]For example, why some rational numbers have non terminating decimals (but with recurring or repeated digits) like 3/23 above while some have terminating decimals like 3/25 or 3/75, or 7/140 ? [br]Hint: Consider the denominator of the fraction in the lowest terms. What are the prime factors of the denominator? [br]

[size=150]See resources at[br][url=https://www.geogebra.org/m/kpq8gh3u]https://www.geogebra.org/m/kpq8gh3u[/url] (Flow chart)[br][br][url=https://www.geogebra.org/m/Vv5cQRBB]https://www.geogebra.org/m/Vv5cQRBB[/url]  (Venn Diagram )[br][url=https://www.geogebra.org/m/jzybegwq]https://www.geogebra.org/m/jzybegwq[/url] (with self assessment using Venn Diagram)[/size][br]