2 x pi x radius is used to calculate the circumference of the circle, when you know the radius. So, your sample problem should ask about some circle.
3 x 10 000 = 30 000, 14 x 10 = 140 and 16 x 1 = 1630 000 + 140 + 16 = 30 156
3.1416 as an fraction = 3927/12503.1416 = 3.1416 * 10000/10000 = 31416/10000 or 3927/1250 in fraction in lowest term
The ZIP Code for Savannah, GA is 31416. Same numbers as pi, but not really pi since pi is 3.1416.
The address of the Mulberry Grove Foundation Incorporated is: Po Box 15581, Savannah, GA 31416-2281
This is the area of a circle with a radius of 100 miles →area = π × radius² = π × (100 miles)² = 10,000π sq miles ≈ 31416 sq miles
pi is an irrational number and so has an infinitely long, non-recurring decimal representation. So given any fraction, it is possible to get a nearer fraction by adding another decimal digit.For example, consider the sequence: 3 = 3/1 3.1 = 31/10 3.14 = 314/100 3.142 = 3142/1000 3.1416 = 31416/10000 Each fraction is closer than the one above but this sequence never ends.
To find 10% of a number, just move decimal point one place to the left. If there is no decimal, assume it is at the right end of the number. 10% of 40 = 4.0 10% of 123 = 12.3 10% of 321.45 = 32.145 10% of 3.1416 = .31416 get the idea??
The first rule is to spell decimal correctly, otherwise you might get an answer to something else!There are three types of decimal numbers:(a) terminating.(b) recurring.(c) neither terminating nor recurring.The method, in each case is different.TERMINATINGCount the number of digits after (to the right of) the decimal point. Call this number D.The numerator of the fraction is the original decimal number written out without the decimal point. The denominator is 1 followed by D 0s. This fraction may need simplification.Example:23.456There are 3 digit [456] after the decimal point so D = 3 and so the denominator is 1000.So the fraction is 23456/1000 which can be simplified to 2932/125.RECURRINGCount the number of digits in the string that repeats. Call this number R.The numerator of the fraction is the original decimal number truncated (chopped off) after the first set of the repeating digits minus the original decimal number truncated before the repeating strings start. In both cases retain the decimal points. The denominator is the number formed by a string of R 9s ie 9, 99, 999 and so on. Again, the fraction may need simplification - it may first require multiplying numerator and denominator by a power of ten to get rid of the fractional part of the decimal.Example:17.35426426426....The recurring string is 3 digits long [426] so R = 3 and so the denominator = 999Numerator = 17354.26 - 17.35 = 17336.91The fraction is 17336.91/999 = 1733691/99900 which simplifies to 577897/33300.NEITHERThis is the decimal representation of an irrational number, not a rational number> Therefore, it cannot be expressed as a fraction. The best that you can do is to take the number formed by the first few digits and then treat it as a terminating decimal. This will give an approximate fraction.Examples:pi = 3.14159265359...Let approx pi = 3.1416Then following steps for a terminating fraction,fraction = 31416/10000 = 3927/1250If you had done approx pi = 3.14then you would have hadfraction = 314/100 = 157/50.
1, 2, 4, 8, 29, 58, 116, 232 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 and just in case... 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 28, 30, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 48, 51, 52, 55, 56, 57, 60, 63, 65, 66, 68, 70, 72, 76, 77, 78, 80, 84, 85, 88, 90, 91, 95, 99, 102, 104, 105, 110, 112, 114, 117, 119, 120, 126, 130, 132, 133, 136, 140, 143, 144, 152, 153, 154, 156, 165, 168, 170, 171, 176, 180, 182, 187, 190, 195, 198, 204, 208, 209, 210, 220, 221, 228, 231, 234, 238, 240, 247, 252, 255, 260, 264, 266, 272, 273, 280, 285, 286, 304, 306, 308, 312, 315, 323, 330, 336, 340, 342, 357, 360, 364, 374, 380, 385, 390, 396, 399, 408, 418, 420, 429, 440, 442, 455, 456, 462, 468, 476, 494, 495, 504, 510, 520, 528, 532, 546, 560, 561, 570, 572, 585, 595, 612, 616, 624, 627, 630, 646, 660, 663, 665, 680, 684, 693, 714, 715, 720, 728, 741, 748, 760, 765, 770, 780, 792, 798, 816, 819, 836, 840, 855, 858, 880, 884, 910, 912, 924, 935, 936, 952, 969, 988, 990, 1001, 1008, 1020, 1040, 1045, 1064, 1071, 1092, 1105, 1122, 1140, 1144, 1155, 1170, 1190, 1197, 1224, 1232, 1235, 1254, 1260, 1287, 1292, 1309, 1320, 1326, 1330, 1360, 1365, 1368, 1386, 1428, 1430, 1456, 1463, 1482, 1496, 1520, 1530, 1540, 1547, 1560, 1584, 1596, 1615, 1638, 1672, 1680, 1683, 1710, 1716, 1729, 1768, 1785, 1820, 1848, 1870, 1872, 1881, 1904, 1938, 1976, 1980, 1989, 1995, 2002, 2040, 2090, 2128, 2142, 2145, 2184, 2210, 2223, 2244, 2261, 2280, 2288, 2310, 2340, 2380, 2394, 2431, 2448, 2470, 2508, 2520, 2574, 2584, 2618, 2640, 2652, 2660, 2717, 2730, 2736, 2772, 2805, 2856, 2860, 2907, 2926, 2964, 2992, 3003, 3060, 3080, 3094, 3120, 3135, 3192, 3230, 3276, 3315, 3344, 3366, 3420, 3432, 3458, 3465, 3536, 3553, 3570, 3640, 3696, 3705, 3740, 3762, 3876, 3927, 3952, 3960, 3978, 3990, 4004, 4080, 4095, 4180, 4199, 4284, 4290, 4368, 4389, 4420, 4446, 4488, 4522, 4560, 4620, 4641, 4680, 4760, 4788, 4845, 4862, 4940, 5005, 5016, 5040, 5148, 5168, 5187, 5236, 5304, 5320, 5355, 5434, 5460, 5544, 5610, 5712, 5720, 5814, 5852, 5928, 5985, 6006, 6120, 6160, 6188, 6270, 6384, 6435, 6460, 6545, 6552, 6630, 6732, 6783, 6840, 6864, 6916, 6930, 7106, 7140, 7280, 7293, 7315, 7410, 7480, 7524, 7735, 7752, 7854, 7920, 7956, 7980, 8008, 8151, 8190, 8360, 8398, 8415, 8568, 8580, 8645, 8778, 8840, 8892, 8976, 9009, 9044, 9240, 9282, 9360, 9405, 9520, 9576, 9690, 9724, 9880, 9945, 10010, 10032, 10296, 10374, 10472, 10608, 10640, 10659, 10710, 10868, 10920, 11088, 11115, 11220, 11305, 11440, 11628, 11704, 11781, 11856, 11970, 12012, 12155, 12240, 12376, 12540, 12597, 12870, 12920, 13090, 13104, 13167, 13260, 13464, 13566, 13585, 13680, 13832, 13860, 13923, 14212, 14280, 14535, 14586, 14630, 14820, 14960, 15015, 15048, 15470, 15504, 15561, 15708, 15912, 15960, 16016, 16302, 16380, 16720, 16796, 16830, 17017, 17136, 17160, 17290, 17556, 17680, 17765, 17784, 18018, 18088, 18480, 18564, 18810, 19019, 19152, 19380, 19448, 19635, 19760, 19890, 20020, 20349, 20592, 20748, 20944, 20995, 21318, 21420, 21736, 21840, 21879, 21945, 22230, 22440, 22610, 23205, 23256, 23408, 23562, 23940, 24024, 24310, 24453, 24752, 24871, 25080, 25194, 25740, 25840, 25935, 26180, 26334, 26520, 26928, 27132, 27170, 27664, 27720, 27846, 28424, 28560, 29070, 29172, 29260, 29393, 29640, 30030, 30096, 30940, 31122, 31416, 31824, 31920, 31977, 32604, 32760, 33592, 33660, 33915, 34034, 34320, 34580, 35112, 35530, 35568, 36036, 36176, 36465, 37128, 37620, 37791, 38038, 38760, 38896, 39270, 39780, 40040, 40698, 40755, 41496, 41990, 42636, 42840, 43472, 43758, 43890, 44460, 44880, 45045, 45220, 46189, 46410, 46512, 47124, 47880, 48048, 48620, 48906, 49742, 50160, 50388, 51051, 51480, 51870, 52360, 52668, 53040, 53295, 54264, 54340, 55440, 55692, 56848, 57057, 58140, 58344, 58520, 58786, 58905, 59280, 60060, 61880, 62244, 62832, 62985, 63954, 65208, 65520, 65835, 67184, 67320, 67830, 68068, 69160, 69615, 70224, 71060, 72072, 72930, 74256, 74613, 75240, 75582, 76076, 77520, 77805, 78540, 79560, 80080, 81396, 81510, 82992, 83980, 85085, 85272, 85680, 87516, 87780, 88179, 88920, 90090, 90440, 92378, 92820, 94248, 95095, 95760, 97240, 97812, 99484, 100776, 101745, 102102, 102960, 103740, 104720, 105336, 106590, 108528, 108680, 109395, 111384, 114114, 116280, 116688, 117040, 117572, 117810, 120120, 122265, 123760, 124355, 124488, 125970, 127908, 130416, 131670, 134640, 135660, 136136, 138320, 138567, 139230, 142120, 144144, 145860, 146965, 149226, 150480, 151164, 152152, 153153, 155610, 157080, 159120, 159885, 162792, 163020, 167960, 170170, 170544, 171171, 175032, 175560, 176358, 177840, 180180, 180880, 184756, 185640, 188496, 188955, 190190, 194480, 195624, 198968, 201552, 203490, 204204, 207480, 210672, 213180, 217360, 218790, 222768, 223839, 228228, 230945, 232560, 235144, 235620, 240240, 244530, 248710, 248976, 251940, 255255, 255816, 263340, 264537, 271320, 272272, 277134, 278460, 284240, 285285, 291720, 293930, 298452, 302328, 304304, 306306, 311220, 314160, 319770, 323323, 325584, 326040, 335920, 340340, 342342, 350064, 351120, 352716, 360360, 369512, 371280, 373065, 377910, 380380, 391248, 397936, 406980, 408408, 414960, 415701, 426360, 437580, 440895, 447678, 456456, 461890, 470288, 471240, 489060, 497420, 503880, 510510, 511632, 526680, 529074, 542640, 554268, 556920, 570570, 583440, 587860, 596904, 604656, 612612, 622440, 639540, 646646, 652080, 680680, 684684, 692835, 705432, 720720, 739024, 746130, 755820, 760760, 765765, 813960, 816816, 831402, 852720, 855855, 875160, 881790, 895356, 912912, 923780, 942480, 969969, 978120, 994840, 1007760, 1021020, 1053360, 1058148, 1108536, 1113840, 1119195, 1141140, 1175720, 1193808, 1225224, 1244880, 1279080, 1293292, 1322685, 1361360, 1369368, 1385670, 1410864, 1492260, 1511640, 1521520, 1531530, 1616615, 1627920, 1662804, 1711710, 1750320, 1763580, 1790712, 1847560, 1939938, 1956240, 1989680, 2042040, 2078505, 2116296, 2217072, 2238390, 2282280, 2351440, 2450448, 2558160, 2586584, 2645370, 2738736, 2771340, 2909907, 2984520, 3023280, 3063060, 3233230, 3325608, 3423420, 3527160, 3581424, 3695120, 3879876, 4084080, 4157010, 4232592, 4476780, 4564560, 4849845, 5173168, 5290740, 5542680, 5819814, 5969040, 6126120, 6466460, 6651216, 6846840, 7054320, 7759752, 8314020, 8953560, 9699690, 10581480, 11085360, 11639628, 12252240, 12932920, 13693680, 14549535, 15519504, 16628040, 17907120, 19399380, 21162960, 23279256, 25865840, 29099070, 33256080, 38798760, 46558512, 58198140, 77597520, 116396280, 232792560
The first 1000 multiples of 84 are: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268, 2352, 2436, 2520, 2604, 2688, 2772, 2856, 2940, 3024, 3108, 3192, 3276, 3360, 3444, 3528, 3612, 3696, 3780, 3864, 3948, 4032, 4116, 4200, 4284, 4368, 4452, 4536, 4620, 4704, 4788, 4872, 4956, 5040, 5124, 5208, 5292, 5376, 5460, 5544, 5628, 5712, 5796, 5880, 5964, 6048, 6132, 6216, 6300, 6384, 6468, 6552, 6636, 6720, 6804, 6888, 6972, 7056, 7140, 7224, 7308, 7392, 7476, 7560, 7644, 7728, 7812, 7896, 7980, 8064, 8148, 8232, 8316, 8400, 8484, 8568, 8652, 8736, 8820, 8904, 8988, 9072, 9156, 9240, 9324, 9408, 9492, 9576, 9660, 9744, 9828, 9912, 9996, 10080, 10164, 10248, 10332, 10416, 10500, 10584, 10668, 10752, 10836, 10920, 11004, 11088, 11172, 11256, 11340, 11424, 11508, 11592, 11676, 11760, 11844, 11928, 12012, 12096, 12180, 12264, 12348, 12432, 12516, 12600, 12684, 12768, 12852, 12936, 13020, 13104, 13188, 13272, 13356, 13440, 13524, 13608, 13692, 13776, 13860, 13944, 14028, 14112, 14196, 14280, 14364, 14448, 14532, 14616, 14700, 14784, 14868, 14952, 15036, 15120, 15204, 15288, 15372, 15456, 15540, 15624, 15708, 15792, 15876, 15960, 16044, 16128, 16212, 16296, 16380, 16464, 16548, 16632, 16716, 16800, 16884, 16968, 17052, 17136, 17220, 17304, 17388, 17472, 17556, 17640, 17724, 17808, 17892, 17976, 18060, 18144, 18228, 18312, 18396, 18480, 18564, 18648, 18732, 18816, 18900, 18984, 19068, 19152, 19236, 19320, 19404, 19488, 19572, 19656, 19740, 19824, 19908, 19992, 20076, 20160, 20244, 20328, 20412, 20496, 20580, 20664, 20748, 20832, 20916, 21000, 21084, 21168, 21252, 21336, 21420, 21504, 21588, 21672, 21756, 21840, 21924, 22008, 22092, 22176, 22260, 22344, 22428, 22512, 22596, 22680, 22764, 22848, 22932, 23016, 23100, 23184, 23268, 23352, 23436, 23520, 23604, 23688, 23772, 23856, 23940, 24024, 24108, 24192, 24276, 24360, 24444, 24528, 24612, 24696, 24780, 24864, 24948, 25032, 25116, 25200, 25284, 25368, 25452, 25536, 25620, 25704, 25788, 25872, 25956, 26040, 26124, 26208, 26292, 26376, 26460, 26544, 26628, 26712, 26796, 26880, 26964, 27048, 27132, 27216, 27300, 27384, 27468, 27552, 27636, 27720, 27804, 27888, 27972, 28056, 28140, 28224, 28308, 28392, 28476, 28560, 28644, 28728, 28812, 28896, 28980, 29064, 29148, 29232, 29316, 29400, 29484, 29568, 29652, 29736, 29820, 29904, 29988, 30072, 30156, 30240, 30324, 30408, 30492, 30576, 30660, 30744, 30828, 30912, 30996, 31080, 31164, 31248, 31332, 31416, 31500, 31584, 31668, 31752, 31836, 31920, 32004, 32088, 32172, 32256, 32340, 32424, 32508, 32592, 32676, 32760, 32844, 32928, 33012, 33096, 33180, 33264, 33348, 33432, 33516, 33600, 33684, 33768, 33852, 33936, 34020, 34104, 34188, 34272, 34356, 34440, 34524, 34608, 34692, 34776, 34860, 34944, 35028, 35112, 35196, 35280, 35364, 35448, 35532, 35616, 35700, 35784, 35868, 35952, 36036, 36120, 36204, 36288, 36372, 36456, 36540, 36624, 36708, 36792, 36876, 36960, 37044, 37128, 37212, 37296, 37380, 37464, 37548, 37632, 37716, 37800, 37884, 37968, 38052, 38136, 38220, 38304, 38388, 38472, 38556, 38640, 38724, 38808, 38892, 38976, 39060, 39144, 39228, 39312, 39396, 39480, 39564, 39648, 39732, 39816, 39900, 39984, 40068, 40152, 40236, 40320, 40404, 40488, 40572, 40656, 40740, 40824, 40908, 40992, 41076, 41160, 41244, 41328, 41412, 41496, 41580, 41664, 41748, 41832, 41916, 42000, 42084, 42168, 42252, 42336, 42420, 42504, 42588, 42672, 42756, 42840, 42924, 43008, 43092, 43176, 43260, 43344, 43428, 43512, 43596, 43680, 43764, 43848, 43932, 44016, 44100, 44184, 44268, 44352, 44436, 44520, 44604, 44688, 44772, 44856, 44940, 45024, 45108, 45192, 45276, 45360, 45444, 45528, 45612, 45696, 45780, 45864, 45948, 46032, 46116, 46200, 46284, 46368, 46452, 46536, 46620, 46704, 46788, 46872, 46956, 47040, 47124, 47208, 47292, 47376, 47460, 47544, 47628, 47712, 47796, 47880, 47964, 48048, 48132, 48216, 48300, 48384, 48468, 48552, 48636, 48720, 48804, 48888, 48972, 49056, 49140, 49224, 49308, 49392, 49476, 49560, 49644, 49728, 49812, 49896, 49980, 50064, 50148, 50232, 50316, 50400, 50484, 50568, 50652, 50736, 50820, 50904, 50988, 51072, 51156, 51240, 51324, 51408, 51492, 51576, 51660, 51744, 51828, 51912, 51996, 52080, 52164, 52248, 52332, 52416, 52500, 52584, 52668, 52752, 52836, 52920, 53004, 53088, 53172, 53256, 53340, 53424, 53508, 53592, 53676, 53760, 53844, 53928, 54012, 54096, 54180, 54264, 54348, 54432, 54516, 54600, 54684, 54768, 54852, 54936, 55020, 55104, 55188, 55272, 55356, 55440, 55524, 55608, 55692, 55776, 55860, 55944, 56028, 56112, 56196, 56280, 56364, 56448, 56532, 56616, 56700, 56784, 56868, 56952, 57036, 57120, 57204, 57288, 57372, 57456, 57540, 57624, 57708, 57792, 57876, 57960, 58044, 58128, 58212, 58296, 58380, 58464, 58548, 58632, 58716, 58800, 58884, 58968, 59052, 59136, 59220, 59304, 59388, 59472, 59556, 59640, 59724, 59808, 59892, 59976, 60060, 60144, 60228, 60312, 60396, 60480, 60564, 60648, 60732, 60816, 60900, 60984, 61068, 61152, 61236, 61320, 61404, 61488, 61572, 61656, 61740, 61824, 61908, 61992, 62076, 62160, 62244, 62328, 62412, 62496, 62580, 62664, 62748, 62832, 62916, 63000, 63084, 63168, 63252, 63336, 63420, 63504, 63588, 63672, 63756, 63840, 63924, 64008, 64092, 64176, 64260, 64344, 64428, 64512, 64596, 64680, 64764, 64848, 64932, 65016, 65100, 65184, 65268, 65352, 65436, 65520, 65604, 65688, 65772, 65856, 65940, 66024, 66108, 66192, 66276, 66360, 66444, 66528, 66612, 66696, 66780, 66864, 66948, 67032, 67116, 67200, 67284, 67368, 67452, 67536, 67620, 67704, 67788, 67872, 67956, 68040, 68124, 68208, 68292, 68376, 68460, 68544, 68628, 68712, 68796, 68880, 68964, 69048, 69132, 69216, 69300, 69384, 69468, 69552, 69636, 69720, 69804, 69888, 69972, 70056, 70140, 70224, 70308, 70392, 70476, 70560, 70644, 70728, 70812, 70896, 70980, 71064, 71148, 71232, 71316, 71400, 71484, 71568, 71652, 71736, 71820, 71904, 71988, 72072, 72156, 72240, 72324, 72408, 72492, 72576, 72660, 72744, 72828, 72912, 72996, 73080, 73164, 73248, 73332, 73416, 73500, 73584, 73668, 73752, 73836, 73920, 74004, 74088, 74172, 74256, 74340, 74424, 74508, 74592, 74676, 74760, 74844, 74928, 75012, 75096, 75180, 75264, 75348, 75432, 75516, 75600, 75684, 75768, 75852, 75936, 76020, 76104, 76188, 76272, 76356, 76440, 76524, 76608, 76692, 76776, 76860, 76944, 77028, 77112, 77196, 77280, 77364, 77448, 77532, 77616, 77700, 77784, 77868, 77952, 78036, 78120, 78204, 78288, 78372, 78456, 78540, 78624, 78708, 78792, 78876, 78960, 79044, 79128, 79212, 79296, 79380, 79464, 79548, 79632, 79716, 79800, 79884, 79968, 80052, 80136, 80220, 80304, 80388, 80472, 80556, 80640, 80724, 80808, 80892, 80976, 81060, 81144, 81228, 81312, 81396, 81480, 81564, 81648, 81732, 81816, 81900, 81984, 82068, 82152, 82236, 82320, 82404, 82488, 82572, 82656, 82740, 82824, 82908, 82992, 83076, 83160, 83244, 83328, 83412, 83496, 83580, 83664, 83748, 83832, 83916, and 84000.