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A) 8,3.7,9+7,9.1,7
=7,9.(8,3+1,7)
=7,9.10=79
B) (8,27+7,16)-(7,27+6,16+8,33)
=8,27+7,16-7,27-6,16-8,33
=(8,27-7,27)+(7,16-6,16)+8,
\(\frac{3}{5.7}+\frac{3}{7.9}+...+\frac{3}{59.61}=\frac{3}{2}\cdot\left(\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{59.61}\right)=\frac{3}{2}\cdot\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{59}-\frac{1}{61}\right)=\frac{3}{2}\cdot\left(\frac{1}{5}-\frac{1}{61}\right)=\frac{84}{305}\)
\(\frac{1}{3\times5}+\frac{1}{5\times7}+\frac{1}{7\times9}+...+\frac{1}{97\times99}\)
\(=\left(\frac{1}{3}-\frac{1}{5}\right)+\left(\frac{1}{5}-\frac{1}{7}\right)+\left(\frac{1}{7}-\frac{1}{9}\right)+...+\left(\frac{1}{97}-\frac{1}{99}\right)\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{97}-\frac{1}{99}\)
\(=\frac{1}{3}-\frac{1}{99}\)
\(=\frac{99-3}{297}\)
\(=\frac{96}{297}=\frac{32}{99}\)
ta có : 2b= 2/5.7+2/7.9+.....+2/99.101
2b=1/5-1/7+1/7-1/9+...+1/99-1/101
2b= (1/5-1/101)+(1/7-1/7)+(1/9-1/9)+.....(1/99-1/99)
2b= 1/5-1/101
2b= 96/505
2b= 48/505
\(\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{99.101}\)
\(=\frac{1}{2}.\left(\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{99.101}\right)\)
\(=\frac{1}{2}.\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{99}-\frac{1}{101}\right)\)
\(=\frac{1}{2}.\left(\frac{1}{5}-\frac{1}{101}\right)\)
\(=\frac{1}{2}.\frac{96}{505}\)
\(=\frac{48}{505}\)
_Chúc bạn học tốt_
8.3×7.9+7.9+7.9×0.7
=7.9x(8,3+1+0,7)
=7,9x10
=79
t tôi nhé bn