{"id":23183,"date":"2022-01-21T19:01:06","date_gmt":"2022-01-21T13:31:06","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=23183"},"modified":"2022-01-22T12:19:22","modified_gmt":"2022-01-22T06:49:22","slug":"ap-board-10th-class-maths-solutions-chapter-1-ex-1-3-in-telugu","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-10th-class-maths-solutions-chapter-1-ex-1-3-in-telugu\/","title":{"rendered":"AP Board 10th Class Maths Solutions Chapter 1 \u0c35\u0c3e\u0c38\u0c4d\u0c24\u0c35 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 Ex 1.3"},"content":{"rendered":"

SCERT AP 10th Class Maths Textbook Solutions<\/a> Chapter 1 \u0c2a\u0c42\u0c30\u0c4d\u0c23 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 Ex 1.3 Textbook Exercise Questions and Answers.<\/p>\n

AP State Syllabus 10th Class Maths Solutions 1st Lesson \u0c35\u0c3e\u0c38\u0c4d\u0c24\u0c35 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 Exercise 1.3<\/h2>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c281.
\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c28\u0c41 \u0c26\u0c36\u0c3e\u0c02\u0c36 \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f. \u0c07\u0c02\u0c26\u0c41\u0c32\u0c4b \u0c0f\u0c35\u0c3f \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c3e\u0c32\u0c4b, \u0c0f\u0c35\u0c3f \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c3e\u0c32\u0c4b \u0c24\u0c46\u0c32\u0c2a\u0c02\u0c21\u0c3f.
\n(i) \\(\\frac{3}{8}\\)<\/p>\n

(ii) \\(\\frac{229}{400}\\)<\/p>\n

(iii) 4 \\(\\frac{1}{5}\\)<\/p>\n

(iv) \\(\\frac{2}{11}\\)<\/p>\n

(v) \\(\\frac{8}{125}\\)
\n\u0c38\u0c3e\u0c27\u0c28.
\n(i) \\(\\frac{3}{8}\\)<\/p>\n

\"AP<\/p>\n

\\(\\frac{3}{8}\\) = 0.375 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.
\n(\u0c32\u0c47\u0c26\u0c3e)
\n2\u0c35 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n\\(\\frac{3}{8}=\\frac{3}{2^{3}}=\\frac{3 \\times 5^{3}}{2^{3} \\times 5^{3}}=\\frac{3 \\times 125}{(2 \\times 5)^{3}}\\) = \\(\\frac{375}{10^{3}}\\) = 0.375
\n\u2234 \\(\\frac{3}{8}\\) = 0.375 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(ii) \\(\\frac{229}{400}\\)<\/p>\n

\"AP<\/p>\n

\u2234 \\(\\frac{229}{400}\\) = 0.5725 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.
\n400<\/p>\n

(\u0c32\u0c47\u0c26\u0c3e) 2\u0c35 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n\\(\\frac{229}{400}=\\frac{229}{2^{4} \\times 5^{2}}=\\frac{229 \\times 5^{2}}{2^{4} \\times 5^{4}}=\\frac{5725}{10^{4}}\\) = 0.5725
\n\u2234 \\(\\frac{229}{400}\\) = 0.5725 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

(iii) 4 \\(\\frac{1}{5}\\)
\n4 \\(\\frac{1}{5}\\) = \\(\\frac{21}{5}\\) = 4.2 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.
\n(\u0c32\u0c47\u0c26\u0c3e)<\/p>\n

2\u0c35 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n\\(4 \\frac{1}{5}=\\frac{21}{5}=\\frac{21 \\times 2}{5 \\times 2}=\\frac{42}{10}\\) = 4.2 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(iv) \\(\\frac{2}{11}\\)<\/p>\n

\"AP<\/p>\n

\u2234 \\(\\frac{2}{11}\\) = 0.18181. …… = \\(0 . \\overline{18}\\)
\n\u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(v) \\(\\frac{8}{125}\\)<\/p>\n

\"AP<\/p>\n

\\(\\frac{8}{125}\\) = 0.064 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(\u0c32\u0c47\u0c26\u0c3e)
\n2\u0c35 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n\\(\\frac{8}{125}=\\frac{8}{5^{3}}=\\frac{8 \\times 2^{3}}{5^{3} \\times 2^{3}}=\\frac{64}{(10)^{3}}\\) = 0.064<\/p>\n

\u2234 \\(\\frac{8}{125}\\) = 0.064 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c282.
\n\u0c2d\u0c3e\u0c17\u0c39\u0c3e\u0c30 \u0c2a\u0c4d\u0c30\u0c15\u0c4d\u0c30\u0c3f\u0c2f \u0c32\u0c47\u0c15\u0c41\u0c02\u0c21\u0c3e\u0c28\u0c47 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c32\u0c4b \u0c35\u0c47\u0c1f\u0c3f\u0c28\u0c3f \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c3e\u0c32\u0c41\u0c17\u0c3e \u0c30\u0c3e\u0c2f\u0c17\u0c32\u0c2e\u0c4b, \u0c35\u0c47\u0c1f\u0c3f\u0c28\u0c3f \u0c05\u0c02\u0c24\u0c02 \u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c3e\u0c32\u0c41\u0c17\u0c3e \u0c30\u0c3e\u0c2f\u0c17\u0c32\u0c2e\u0c4b \u0c24\u0c46\u0c32\u0c2a\u0c02\u0c21\u0c3f.
\n(i) \\(\\frac{13}{3125}\\)<\/p>\n

(ii) \\(\\frac{11}{12}\\)<\/p>\n

(iii) \\(\\frac{64}{455}\\)<\/p>\n

(iv) \\(\\frac{15}{1600}\\)<\/p>\n

(v) \\(\\frac{29}{343}\\)<\/p>\n

(vi) \\(\\frac{23}{2^{3} 5^{2}}\\)<\/p>\n

(vii) \\(\\frac{129}{2^{2} 5^{7} 7^{5}}\\)<\/p>\n

(viii) \\(\\frac{9}{15}\\)<\/p>\n

(ix) \\(\\frac{36}{100}\\)<\/p>\n

(x) \\(\\frac{77}{210}\\)
\n\u0c38\u0c3e\u0c27\u0c28.
\n(i) \\(\\frac{13}{3125}\\)<\/p>\n

\"AP<\/p>\n\\(\\frac{13}{3125}=\\frac{13}{5^{5}}=\\frac{13}{2^{0} \\times 5^{5}}\\)\n

\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c15\u0c32\u0c26\u0c41.
\n\u2234 \\(\\frac{13}{3125}\\) \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c02.
\n.
\n(ii) \\(\\frac{11}{12}\\)<\/p>\n\\(\\frac{11}{12}=\\frac{11}{2^{2} \\times 3}\\)\n

\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c32\u0c47\u0c26\u0c41.
\n\u2234 \\(\\frac{11}{12}\\) \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

(iii) \\(\\frac{64}{455}\\)<\/p>\n

\"AP<\/p>\n

\\(\\frac{15}{1600}=\\frac{3 \\times 5}{2^{6} \\times 5^{2}}=\\frac{3}{2^{6} \\times 5^{1}}\\)
\n\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c32\u0c47\u0c26\u0c41.
\n\u2234 \\(\\frac{64}{455}\\) \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(iv) \\(\\frac{15}{1600}\\)<\/p>\n

\"AP<\/p>\n

\u0c39\u0c3e\u0c30\u0c02 (q) = 20 x 5m \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c15\u0c32\u0c26\u0c41.
\n\u2234 \\(\\frac{15}{1600}\\) \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

(v) \\(\\frac{29}{343}=\\frac{29}{7^{3}}\\)
\n\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c32\u0c47\u0c26\u0c41.
\n\u2234 \\(\\frac{29}{343}\\) \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(vi) \\(\\frac{23}{2^{3} \\cdot 5^{2}}\\)
\n\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c15\u0c32\u0c26\u0c41.
\n\\(\\frac{23}{2^{3} \\cdot 5^{2}}\\) \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(vii) \\(\\frac{129}{2^{2} \\cdot 5^{7} \\cdot 7^{5}}\\) \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.
\n\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c32\u0c47\u0c26\u0c41.<\/p>\n

\"AP<\/p>\n

(viii) \\(\\frac{9}{15}\\)
\n\\(\\frac{9}{15}=\\frac{3 \\times 3}{3 \\times 5}=\\frac{3}{5}=\\frac{3}{2^{0} \\times 5^{1}}\\)
\n\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c15\u0c32\u0c26\u0c41.
\n\u2234 \\(\\frac{9}{15}\\) \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(ix) \\(\\frac{36}{100}=\\frac{2 \\times 2 \\times 3 \\times 3}{10^{2}}\\)
\n\\(\\frac{2^{2} \\times 3^{2}}{2^{2} \\times 5^{2}}=\\frac{3^{2}}{5^{2}}=\\frac{9}{2^{0} \\times 5^{2}}\\)
\n\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c15\u0c32\u0c26\u0c41.
\n\u2234 \\(\\frac{36}{100}\\) \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

(x) \\(\\frac{77}{210}=\\frac{7 \\times 11}{2 \\times 5 \\times 7 \\times 3}=\\frac{11}{2 \\times 5 \\times 3}\\)<\/p>\n

\"AP<\/p>\n

\u0c39\u0c3e\u0c30\u0c02 (q) = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c32\u0c47\u0c26\u0c41.
\n\u2234 \\(\\frac{77}{210}\\) \u0c05\u0c02\u0c24\u0c02 \u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c283.
\n\u0c38\u0c3f\u0c26\u0c4d\u0c26\u0c3e\u0c02\u0c24\u0c02 1.3 \u0c28\u0c41 \u0c05\u0c28\u0c41\u0c38\u0c30\u0c3f\u0c02\u0c1a\u0c3f \u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c26\u0c36\u0c3e\u0c02\u0c36 \u0c30\u0c42\u0c2a\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c24\u0c46\u0c32\u0c2a\u0c02\u0c21\u0c3f.
\n(i) \\(\\frac{13}{25}\\)
\n(ii) \\(\\frac{15}{16}\\)
\n(iii) \\(\\frac{23}{2^{3} \\cdot 5^{2}}\\)
\n(iv) \\(\\frac{7218}{3^{2} \\cdot 5^{2}}\\)
\n(v) \\(\\frac{143}{110}\\)
\n\u0c38\u0c3e\u0c26\u0c28.
\n(i) \\(\\frac{13}{25}\\)
\n\\(\\frac{13}{25}=\\frac{13}{5^{2}}=\\frac{13 \\times 2^{2}}{5^{2} \\times 2^{2}}\\)<\/p>\n

= \\(\\frac{13 \\times 4}{(5 \\times 2)^{2}}=\\frac{52}{10^{2}}\\) = 0.52<\/p>\n

(ii) \\(\\frac{15}{16}\\)<\/p>\n\\(\\frac{15}{16}=\\frac{3 \\times 5}{2^{4}}=\\frac{3 \\times 5 \\times 5^{4}}{2^{4} \\times 5^{4}}=\\frac{3 \\times 5 \\times 625}{(2 \\times 5)^{4}}\\)\n

= \\(\\frac{9375}{(10)^{4}}\\) = 0.9375<\/p>\n

\"AP<\/p>\n

(iii) \\(\\frac{23}{2^{3} \\cdot 5^{2}}\\)<\/p>\n

\\(\\frac{23}{2^{3} \\cdot 5^{2}}=\\frac{23 \\times 5}{2^{3} \\cdot 5^{2} \\times 5}=\\frac{115}{2^{3} \\times 5^{3}}=\\frac{115}{10^{3}}\\) = 0.115<\/p>\n

(iv) \\(\\frac{7218}{3^{2} \\cdot 5^{2}}\\)<\/p>\n

\"AP<\/p>\n\\(\\frac{7218}{3^{2} \\cdot 5^{2}}=\\frac{2 \\times 3^{2} \\times 401}{3^{2} \\times 5^{2}}=\\frac{2 \\times 401 \\times 2^{2}}{5^{2} \\times 2^{2}}\\)\n

= \\(\\frac{2 \\times 401 \\times 4}{10^{2}}=\\frac{3208}{10^{2}}\\) = 32.08<\/p>\n

(v) \\(\\frac{143}{110}\\)
\n\\(\\frac{143}{110}=\\frac{11 \\times 13}{2 \\times 5 \\times 11}=\\frac{13}{10}\\) = 1.3<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c284.
\n\u0c15\u0c3f\u0c02\u0c26 \u0c15\u0c4a\u0c28\u0c4d\u0c28\u0c3f \u0c35\u0c3e\u0c38\u0c4d\u0c24\u0c35\u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c30\u0c42\u0c2a\u0c3e\u0c32\u0c41 \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28\u0c35\u0c3f. \u0c2a\u0c4d\u0c30\u0c24\u0c3f \u0c38\u0c02\u0c26\u0c30\u0c4d\u0c2d\u0c02\u0c32\u0c4b\u0c28\u0c42 \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c38\u0c02\u0c16\u0c4d\u0c2f \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f\u0c2e\u0c4b, \u0c15\u0c3e\u0c26\u0c4b \u0c24\u0c46\u0c32\u0c2a\u0c02\u0c21\u0c3f. \u0c06 \u0c38\u0c02\u0c16\u0c4d\u0c2f \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f\u0c2e\u0c48 \u0c09\u0c02\u0c21\u0c3f \\(\\frac{p}{q}\\) \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c30\u0c3e\u0c2f\u0c17\u0c32\u0c3f\u0c17\u0c3f\u0c24\u0c47 q \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2a\u0c4d\u0c30\u0c27\u0c3e\u0c28 \u0c15\u0c3e\u0c30\u0c23\u0c3e\u0c02\u0c15\u0c3e\u0c32\u0c28\u0c41 \u0c17\u0c42\u0c30\u0c4d\u0c1a\u0c3f \u0c28\u0c40\u0c35\u0c41 \u0c0f\u0c2e\u0c3f \u0c1a\u0c46\u0c2a\u0c4d\u0c2a\u0c17\u0c32\u0c35\u0c41 ?
\n(i) 43.123456789
\n(ii) 0.120120012000120000…
\n(iii) \\(43 . \\overline{123456789}\\)
\n\u0c38\u0c3e\u0c27\u0c28.
\n(i) 43.123456789 \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41. \u0c15\u0c3e\u0c35\u0c41\u0c28. \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f\u0c2e\u0c41.
\n\\(\\frac{p}{q}\\) \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c30\u0c3e\u0c2f\u0c17\u0c32\u0c2e\u0c41.
\nq = 2n<\/sup> \u00d7 5m<\/sup> \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c09\u0c02\u0c1f\u0c41\u0c02\u0c26\u0c3f.
\nm, n \u0c32\u0c41 \u0c30\u0c41\u0c23\u0c47\u0c24\u0c30 \u0c2a\u0c42\u0c30\u0c4d\u0c23\u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41.
\nq \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2a\u0c4d\u0c30\u0c27\u0c3e\u0c28 \u0c15\u0c3e\u0c30\u0c23\u0c3e\u0c02\u0c15\u0c3e\u0c32\u0c41 2 \u0c32\u0c47\u0c26\u0c3e 5 \u0c32\u0c47\u0c26\u0c3e 2, 5 \u0c32\u0c41.<\/p>\n

(ii) 0.120120012000120000…….. \u0c05\u0c02\u0c24\u0c02
\n\u0c15\u0c3e\u0c35\u0c21\u0c02 \u0c32\u0c47\u0c26\u0c41 \u0c32\u0c47\u0c26\u0c3e \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28\u0c2e\u0c41 \u0c15\u0c3e\u0c35\u0c21\u0c02 \u0c32\u0c47\u0c26\u0c41:
\n\u0c15\u0c3e\u0c35\u0c41\u0c28 \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f\u0c2e\u0c41 \u0c15\u0c3e\u0c26\u0c41.
\n\u2234 \\(\\frac{p}{q}\\) \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c30\u0c3e\u0c2f\u0c32\u0c47\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

(iii) \\(43 . \\overline{123456789}\\) \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 – \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c2e\u0c41.
\n\u0c15\u0c3e\u0c35\u0c41\u0c28 \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f \u0c38\u0c02\u0c16\u0c4d\u0c2f.
\n\u2234 \\(\\frac{p}{q}\\) \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c30\u0c3e\u0c2f\u0c35\u0c1a\u0c4d\u0c1a\u0c41\u0c28\u0c41.
\nq = 2n<\/sup> x 5m<\/sup> x 3r<\/sup> x 7s<\/sup> x 11t<\/sup> ……. \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2a\u0c4d\u0c30\u0c27\u0c3e\u0c28 \u0c15\u0c3e\u0c30\u0c23\u0c3e\u0c02\u0c15\u0c3e\u0c32\u0c32\u0c4b 2, 5 \u0c32\u0c41 \u0c09\u0c02\u0c21\u0c35\u0c41.
\n\u0c32\u0c47\u0c26\u0c3e 2, 5\u0c32\u0c24\u0c4b \u0c2a\u0c3e\u0c1f\u0c41 \u0c07\u0c24\u0c30 \u0c2a\u0c4d\u0c30\u0c27\u0c3e\u0c28\u0c15\u0c3e\u0c30\u0c23\u0c3e\u0c02\u0c15\u0c3e\u0c32\u0c41 \u0c09\u0c02\u0c1f\u0c3e\u0c2f\u0c3f.<\/p>\n","protected":false},"excerpt":{"rendered":"

SCERT AP 10th Class Maths Textbook Solutions Chapter 1 \u0c2a\u0c42\u0c30\u0c4d\u0c23 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 Ex 1.3 Textbook Exercise Questions and Answers. AP State Syllabus 10th Class Maths Solutions 1st Lesson \u0c35\u0c3e\u0c38\u0c4d\u0c24\u0c35 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 Exercise 1.3 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c281. \u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c05\u0c15\u0c30\u0c23\u0c40\u0c2f \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c28\u0c41 \u0c26\u0c36\u0c3e\u0c02\u0c36 \u0c30\u0c42\u0c2a\u0c02\u0c32\u0c4b \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f. \u0c07\u0c02\u0c26\u0c41\u0c32\u0c4b \u0c0f\u0c35\u0c3f \u0c05\u0c02\u0c24\u0c2e\u0c2f\u0c4d\u0c2f\u0c47 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c3e\u0c32\u0c4b, \u0c0f\u0c35\u0c3f \u0c05\u0c02\u0c24\u0c02\u0c15\u0c3e\u0c28\u0c3f \u0c06\u0c35\u0c30\u0c4d\u0c24\u0c28 \u0c26\u0c36\u0c3e\u0c02\u0c36\u0c3e\u0c32\u0c4b \u0c24\u0c46\u0c32\u0c2a\u0c02\u0c21\u0c3f. (i) (ii) (iii) 4 (iv) (v) \u0c38\u0c3e\u0c27\u0c28. (i) …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/23183"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=23183"}],"version-history":[{"count":2,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/23183\/revisions"}],"predecessor-version":[{"id":23194,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/23183\/revisions\/23194"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=23183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=23183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=23183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}