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Chaptir -9, Rational Numbers, Points to Remember!-, Integ, * A number that, Rational, be expressed in the, integes, a, rational Number., fraitional are rational, form of f, where 'p' and 'q;, Lare, and, is, called, * All, integers, and, numbers, The number, is, neither, posili ve no, a, negative, There, ratiomal, unlimiled, number., number of hational, rational nummbers, are, numbers between, * A ratoral, two, neumber, is, said to be in the, standard, if its denoninalo, and the, is a, form, positive integer, numbralor and, common factor other, 号ett, denominator, have, numbers ', no, than !, The, standard, are en, form., Ex :9.1, I List fine rational numbers betwen., D -1, and 0., and f, -b and, i., The rational numbers are

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2), 2) -2 and -1, 후 and 구, 무제를 and 극 x, -13. and -6, %3D, 6, 6., F. The rational numbers are -18,, -10, -9, 3) -손 and 글, * and, and *, -10, -12, - 12, 15, 노 and 뮤음, -48, 20, 40, and, 20, eb -US. -44 -43, 20, - 48, -47, i the rational numbers are, 20, 20, 20, 20, 20, -u2, 20, - up, 20, 20, u) and, 3., ** and, %3D, = and 는, , 콩,궁,릉'궁,증,릉,용., numbers in each of, -3, 3, 2, The rational numbers are, more rational, patterns-, four, following, IT Inoite, the, ) -3, -6, - 15, 25, - 18 ., 30, -12, -24, 35, 20, 15, 2), 12, lb 기, 24, 28, 3), 3, 4., 구, -12, -24, > -36, 48, -30, -42, -48, u), 8., -12, 15 > -18, 12, 14, - 3, -21

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Tu, 프, Give four rational numbers, equivalent to, a) -2, 7, - 8, - 10, 21, 28 9, 35., .'. The rational, are - - 3., numbers, -8, 28, - lo, 7, 14, 21, b) 5, -3, 10, 15, -99, numbers, 25, 20, -12, -3, -15, ,', The rational, 5., 20, 10, 25, -15., are, -12, 20, =) *, 号*号, 4., 16., 12, 27, 45., 18, 36, . The rational numbers, are 4-z =*- ., 19, 20, 18, 27, 36, 45., 프 Deaw, rational, represent the following, the numberr line and, numbers, on, it !-, a) 3, 4, 2, 3, b) S, +, -3 -2 -, 3., c), 2, ५., d) 공., 8 8, 8, TB :-, I Refer in, the tollo wing pairs, numbes :-, represent the Same, I Which, rational, 3, D = and, 21, : + They, are not ame, rational numbers, 3, 21, to, of

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2) * and d0, 20, 25., -16, =>, 20, - 20, 25, not sanie rational, numbers, They are, 3) * and, X., Same, retional neembers,-, .'. They supresent the, 4) -3 and -12, 20, =), -3, 20, reprisent, rational numbers., same, '. They the, 5) 8 and -24, -5, -5, -8, 15, 3, Same rationa numbere, :Theysepresent the, Rewriti, following, rational numbers en, the Simplest fom-, a) -8, 6, b) 25, 45, ) - 44, =), 25, =>, -44, 2, - U, 72, 18., =), 10, -|-

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boxes with the, correct Symbols of, VII, Fil, in the, < or, a), b), -16, 8, 14, -25, 35, -15, - 28, 구, 因, 21, 21, 35, -8, d), 3, 0普四告, f), - a, -3, 9) OE, - 3, -32, 20, -35, 20, -12, 12, jX which i, greater, the following:, in each, of, 3) -3, 4, -3., 3, X., 2, X-, 10, =>, 6, =) -오, 12, -5, -8, -8, 6., =>, 6, 12, :: e is greater, 10, : a greater ., : i greatr ., い、こ, '5) -3 , -, 4., .it is greater, -23, -19, =), => -115, 35, > 133, 35, *, is greatior ., 35, I Woite, the following, rational numbers in ascending ordor!-, ) -3, -2, 5, 5, A.0=), -3, -4X3, 6., 3x3, 313, 9x1, -12, A.0 =), 흑 , 흑, 4/=