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Q: What is happening in the scene shown on pages 70-71 and why?
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Is 14.142 irrational?

No because it can be expressed as a fraction in the form of 7071/500 in its lowest terms and so therefore it is a rational number


How do you find prime nos between 1 to 100?

Numbers which do not have factors without 1 and itself are Prime Numbers.To find prime numbers turn the multiples of 2,3,5,7,11 into bold but not to these numbers.Remember 1 is not a composite nor a prime no.01 02 03 04 05 0607 08 09 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 4243 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 9697 98 99 100The left over numbers which are not bold are Prime Numbers.2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,89,97 are prime numbers.The numbers which are in bold are Composite Numbers.4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,69,70,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100 are composite numbers.


What are the factors between 1 and 100?

1: 12: 1, 23: 1, 34: 1, 2, 45: 1, 56: 1, 2, 3, 67: 1, 78: 1, 2, 4, 89: 1, 3, 910: 1, 2, 5, 1011: 1, 1112: 1, 2, 3, 4, 6, 1213: 1, 1314: 1, 2, 7, 1415: 1, 3, 5, 1516: 1, 2, 4, 8, 1617: 1, 1718: 1, 2, 3, 6, 9, 1819: 1, 1920: 1, 2, 4, 5, 10, 2021: 1, 3, 7, 2122: 1, 2, 11, 2223: 1, 2324: 1, 2, 3, 4, 6, 8, 12, 2425: 1, 5, 2526: 1, 2, 13, 2627: 1, 3, 9, 2728: 1, 2, 4, 7, 14, 2829: 1, 2930: 1, 2, 3, 5, 6, 10, 15, 3031: 1, 3132: 1, 2, 4, 8, 16, 3233: 1, 3, 11, 3334: 1, 2, 17, 3435: 1, 5, 7, 3536: 1, 2, 3, 4, 6, 9, 12, 18, 3637: 1, 3738: 1, 2, 19, 3839: 1, 3, 13, 3940: 1, 2, 4, 5, 8, 10, 20, 4041: 1, 4142: 1, 2, 3, 6, 7, 14, 21, 4243: 1, 4344: 1, 2, 4, 11, 22, 4445: 1, 3, 5, 9, 15, 4546: 1, 2, 23, 4647: 1, 4748: 1, 2, 3, 4, 6, 8, 12, 16, 24, 4849: 1, 7, 4950: 1, 2, 5, 10, 25, 5051: 1, 3, 17, 5152: 1, 2, 4, 13, 26, 5253: 1, 5354: 1, 2, 3, 6, 9, 18, 27, 5455: 1, 5, 11, 5556: 1, 2, 4, 7, 8, 14, 28, 5657: 1, 3, 19, 5758: 1, 2, 29, 5859: 1, 5960: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 6061: 1, 6162: 1, 2, 31, 6263: 1, 3, 7, 9, 21, 6364: 1, 2, 4, 8, 16, 32, 6465: 1, 5, 13, 6566: 1, 2, 3, 6, 11, 22, 33, 6667: 1, 6768: 1, 2, 4, 17, 34, 6869: 1, 3, 23, 6970: 1, 2, 5, 7, 10, 14, 35, 7071: 1, 7172: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 7273: 1, 7374: 1, 2, 37, 7475: 1, 3, 5, 15, 25, 7576: 1, 2, 4, 19, 38, 7677: 1, 7, 11, 7778: 1, 2, 3, 6, 13, 26, 39, 7879: 1, 7980: 1, 2, 4, 5, 8, 10, 16, 20, 40, 8081: 1, 3, 9, 27, 8182: 1, 2, 41, 8283: 1, 8384: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 8485: 1, 5, 17, 8586: 1, 2, 43, 8687: 1, 3, 29, 8788: 1, 2, 4, 8, 11, 22, 44, 8889: 1, 8990: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 9091: 1, 7, 13, 9192: 1, 2, 4, 23, 46, 9293: 1, 3, 31, 9394: 1, 2, 47, 9495: 1, 5, 19, 9596: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 9697: 1, 9798: 1, 2, 7, 14, 49, 9899: 1, 3, 9, 11, 33, 99100: 1, 2, 4, 5, 10, 20, 25, 50, 100


What are the factors of 12100?

12: 1, 2, 3, 4, 6, 1213: 1, 1314: 1, 2, 7, 1415: 1, 3, 5, 1516: 1, 2, 4, 8, 1617: 1, 1718: 1, 2, 3, 6, 9, 1819: 1, 1920: 1, 2, 4, 5, 10, 2021: 1, 3, 7, 2122: 1, 2, 11, 2223: 1, 2324: 1, 2, 3, 4, 6, 8, 12, 2425: 1, 5, 2526: 1, 2, 13, 2627: 1, 3, 9, 2728: 1, 2, 4, 7, 14, 2829: 1, 2930: 1, 2, 3, 5, 6, 10, 15, 3031: 1, 3132: 1, 2, 4, 8, 16, 3233: 1, 3, 11, 3334: 1, 2, 17, 3435: 1, 5, 7, 3536: 1, 2, 3, 4, 6, 9, 12, 18, 3637: 1, 3738: 1, 2, 19, 3839: 1, 3, 13, 3940: 1, 2, 4, 5, 8, 10, 20, 4041: 1, 4142: 1, 2, 3, 6, 7, 14, 21, 4243: 1, 4344: 1, 2, 4, 11, 22, 4445: 1, 3, 5, 9, 15, 4546: 1, 2, 23, 4647: 1, 4748: 1, 2, 3, 4, 6, 8, 12, 16, 24, 4849: 1, 7, 4950: 1, 2, 5, 10, 25, 5051: 1, 3, 17, 5152: 1, 2, 4, 13, 26, 5253: 1, 5354: 1, 2, 3, 6, 9, 18, 27, 5455: 1, 5, 11, 5556: 1, 2, 4, 7, 8, 14, 28, 5657: 1, 3, 19, 5758: 1, 2, 29, 5859: 1, 5960: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 6061: 1, 6162: 1, 2, 31, 6263: 1, 3, 7, 9, 21, 6364: 1, 2, 4, 8, 16, 32, 6465: 1, 5, 13, 6566: 1, 2, 3, 6, 11, 22, 33, 6667: 1, 6768: 1, 2, 4, 17, 34, 6869: 1, 3, 23, 6970: 1, 2, 5, 7, 10, 14, 35, 7071: 1, 7172: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 7273: 1, 7374: 1, 2, 37, 7475: 1, 3, 5, 15, 25, 7576: 1, 2, 4, 19, 38, 7677: 1, 7, 11, 7778: 1, 2, 3, 6, 13, 26, 39, 7879: 1, 7980: 1, 2, 4, 5, 8, 10, 16, 20, 40, 8081: 1, 3, 9, 27, 8182: 1, 2, 41, 8283: 1, 8384: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 8485: 1, 5, 17, 8586: 1, 2, 43, 8687: 1, 3, 29, 8788: 1, 2, 4, 8, 11, 22, 44, 8889: 1, 8990: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 9091: 1, 7, 13, 9192: 1, 2, 4, 23, 46, 9293: 1, 3, 31, 9394: 1, 2, 47, 9495: 1, 5, 19, 9596: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 9697: 1, 9798: 1, 2, 7, 14, 49, 9899: 1, 3, 9, 11, 33, 99100: 1, 2, 4, 5, 10, 20, 25, 50, 100


What is the first 105 whole number factors?

1: 12: 1, 23: 1, 34: 1, 2, 45: 1, 56: 1, 2, 3, 67: 1, 78: 1, 2, 4, 89: 1, 3, 910: 1, 2, 5, 1011: 1, 1112: 1, 2, 3, 4, 6, 1213: 1, 1314: 1, 2, 7, 1415: 1, 3, 5, 1516: 1, 2, 4, 8, 1617: 1, 1718: 1, 2, 3, 6, 9, 1819: 1, 1920: 1, 2, 4, 5, 10, 2021: 1, 3, 7, 2122: 1, 2, 11, 2223: 1, 2324: 1, 2, 3, 4, 6, 8, 12, 2425: 1, 5, 2526: 1, 2, 13, 2627: 1, 3, 9, 2728: 1, 2, 4, 7, 14, 2829: 1, 2930: 1, 2, 3, 5, 6, 10, 15, 3031: 1, 3132: 1, 2, 4, 8, 16, 3233: 1, 3, 11, 3334: 1, 2, 17, 3435: 1, 5, 7, 3536: 1, 2, 3, 4, 6, 9, 12, 18, 3637: 1, 3738: 1, 2, 19, 3839: 1, 3, 13, 3940: 1, 2, 4, 5, 8, 10, 20, 4041: 1, 4142: 1, 2, 3, 6, 7, 14, 21, 4243: 1, 4344: 1, 2, 4, 11, 22, 4445: 1, 3, 5, 9, 15, 4546: 1, 2, 23, 4647: 1, 4748: 1, 2, 3, 4, 6, 8, 12, 16, 24, 4849: 1, 7, 4950: 1, 2, 5, 10, 25, 5051: 1, 3, 17, 5152: 1, 2, 4, 13, 26, 5253: 1, 5354: 1, 2, 3, 6, 9, 18, 27, 5455: 1, 5, 11, 5556: 1, 2, 4, 7, 8, 14, 28, 5657: 1, 3, 19, 5758: 1, 2, 29, 5859: 1, 5960: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 6061: 1, 6162: 1, 2, 31, 6263: 1, 3, 7, 9, 21, 6364: 1, 2, 4, 8, 16, 32, 6465: 1, 5, 13, 6566: 1, 2, 3, 6, 11, 22, 33, 6667: 1, 6768: 1, 2, 4, 17, 34, 6869: 1, 3, 23, 6970: 1, 2, 5, 7, 10, 14, 35, 7071: 1, 7172: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 7273: 1, 7374: 1, 2, 37, 7475: 1, 3, 5, 15, 25, 7576: 1, 2, 4, 19, 38, 7677: 1, 7, 11, 7778: 1, 2, 3, 6, 13, 26, 39, 7879: 1, 7980: 1, 2, 4, 5, 8, 10, 16, 20, 40, 8081: 1, 3, 9, 27, 8182: 1, 2, 41, 8283: 1, 8384: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 8485: 1, 5, 17, 8586: 1, 2, 43, 8687: 1, 3, 29, 8788: 1, 2, 4, 8, 11, 22, 44, 8889: 1, 8990: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 9091: 1, 7, 13, 9192: 1, 2, 4, 23, 46, 9293: 1, 3, 31, 9394: 1, 2, 47, 9495: 1, 5, 19, 9596: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 9697: 1, 9798: 1, 2, 7, 14, 49, 9899: 1, 3, 9, 11, 33, 99100: 1, 2, 4, 5, 10, 20, 25, 50, 100101: 1, 101102: 1, 2, 3, 6, 17, 34, 51, 102103: 1, 103104: 1, 2, 4, 8, 13, 26, 52, 104105: 1, 3, 5, 7, 15, 21, 35, 105

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