Question 1. Write the following in decimal form and say what kind of decimal expansion each has
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Question 2 You know that 1/7 = 0.142857 bar . Can you predict what the decimal expansion of 2/7 , 3/7 ,4/7 , 5/7 and 6/ 7 are, without actually doing the long division? If so, how? | |

Question 3 Express the following in the form p/q , where p and q are integers and q ≠0. | |

Question 4 . Express 0.99999 .... in the form p/q .Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense. | |

Question 5 What can the maximum number of digits be in the repeating block of digits in the decimal expansion of1/17? Perform the division to check your answer. Perform the division to check your answer. | |

Question 6 Look at several examples of rational numbers in the form p / q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy? | |

Question 7. Write three numbers whose decimal expansions are non-terminating non-recurring. Question 8: Find three different irrational numbers between the rational numbers5/7 and9/11 | |

Question 9. Classify the following numbers as rational or irrational: | |