Tính
C=(151515/161616+17^9/17^10)-(1500/1600-1616/1717)
D=(1/2^2-1)(1/3^2-1)(1/4^2-1)....(1/100^2-1)
LT
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help me!
B1: Tính A=(1/7+1/23-1/1009) : (1/7+1/23-1/1009+1/7.1/23.1/9) +1:(30.1009-160)
B=(151515/161616+17^9/17^10)-(1500/1600+1616/1717)
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C=(151515/161616+17^9/17^10)-(1500/1600-1616/1717)
minh can gap !@#!#!!@!@
tính C=(151515/161616+17^9/17^10)-(1500/1600-1616/1717)
\(\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{1616}{1717}\right)\)
\(=\left(\frac{15.10101}{16.10101}+\frac{1}{17}\right)-\left(\frac{15.100}{16.100}-\frac{16.101}{17.101}\right)\)
\(=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}=\frac{1}{17}+\frac{16}{17}=\frac{17}{17}=1\)
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\(\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{1616}{1717}\right)\)
\(\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{1616}{1717}\right)\)
\(=\left(\frac{15}{16}+\frac{1}{17}\right)-\left(\frac{15}{16}-\frac{16}{17}\right)\)
\(=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}\)
\(=\left(\frac{15}{16}-\frac{15}{16}\right)+\left(\frac{1}{17}+\frac{16}{17}\right)\)
\(=\frac{15-15}{16}+\frac{1+16}{17}\)
\(=0+\frac{17}{17}\)
\(=0+1\)
\(=1\)
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tinh nhanh
\(\left(\frac{151515}{161616}+\frac{17^5}{17^{10}}\right)+\left(\frac{1616}{1717}-\frac{1500}{1600}\right)\)
=\(\left(\frac{15}{16}+\frac{1}{17^5}\right)+\left(\frac{16}{17}-\frac{15}{16}\right)\)
=\(\frac{1}{17^5}+\frac{16}{17}=\frac{1+16.17^4}{17^5}\)
đáp số là số thập phân vô hạn không tuần hoàn
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(\frac{151515}{161616}+\frac{1}{17})-(\frac{1500}{1600}-\frac{16}{17})= ?????
\(\dfrac{151515}{161616}+\dfrac{1}{17}-\dfrac{1500}{1600}-\dfrac{16}{17}\)
\(=\dfrac{10101.15}{10101.16}+\dfrac{1}{17}-\dfrac{15.100}{16.100}-\dfrac{16}{17}\)
\(=\dfrac{15}{16}+\dfrac{1}{17}-\dfrac{15}{16}-\dfrac{16}{17}=\dfrac{-15}{17}\)
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B= (151515/161616+17^9/17^10)-(1500/1600-176/187)
B=\(\left(\dfrac{151515}{161616}+\dfrac{17^9}{17^{10}}\right)-\left(\dfrac{1500}{1600}-\dfrac{176}{187}\right)\). tinh nhanh
\(B=\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{176}{187}\right)\)
\(B=\left(\frac{15}{16}+\frac{1}{17}\right)-\left(\frac{15}{16}-\frac{16}{17}\right)\)
\(B=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}\)
\(B=\left(\frac{15}{16}-\frac{15}{16}\right)+\left(\frac{1}{17}+\frac{16}{17}\right)\)
\(B=0+1=1\)
Vậy: B=1
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Tính bằng cách thuận tiện nhất
a. 1/2 : 1/5 +1/3 : 1/5 + 1/6 : 1/5
b. 1515 x 161616/ 151515 x 1616
Xem chi tiết
a)\(\frac{1}{2}:\frac{1}{5}+\frac{1}{3}:\frac{1}{5}+\frac{1}{6}:\frac{1}{5}\)
=\(\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\right):\frac{1}{5}\)
=\(1:\frac{1}{5}\)
=5
b)\(\frac{1515\text{×}161616}{151515\text{×}1616}\)
=1