Thuc hien phep tinh sau
\(\frac{1}{1.2}+\frac{1}{2.3}+........+\frac{1}{999.1000}\)
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giup mik voi helpbai 1 thuc hien phep tinh frac{1^2}{1.2}.frac{2^2}{2.3}.frac{3^2}{3.4}....frac{99^2}{99.100}.frac{100^2}{100.101}frac{2^2}{1.3}. frac{3^2}{2.4}. frac{4^2}{3.5}... frac{59^2}{58.60}
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bai 1 thuc hien phep tinh
\(\frac{1^2}{1.2}\).\(\frac{2^2}{2.3}\).\(\frac{3^2}{3.4}\)....\(\frac{99^2}{99.100}\).\(\frac{100^2}{100.101}\)
\(\frac{2^2}{1.3}\). \(\frac{3^2}{2.4}\). \(\frac{4^2}{3.5}\)... \(\frac{59^2}{58.60}\)
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a)\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}.....\frac{99^2}{99.100}.\frac{100^2}{100.101}\)
\(=\frac{1^2.2^2.3^2.....99^2.100^2}{1.2.2.3.3.4.....99.100.100.101}\)
\(=\frac{1^2}{101}\)
\(=\frac{1}{101}\)
Ghi chú: \(=\frac{1^2.2^2.3^2.....99^2.100^2}{1.2.2.3.3.4.....99.100.100.101}\)--> 22 chịt tiêu 2.2 (trên và dưới) làm thế này mãi đến khi còn \(\frac{1^2}{101}\).
b) \(\frac{2^2}{1.3}.\frac{3^2}{2.4}.\frac{4^2}{3.5}.....\frac{59^2}{58.60}\)
=\(\frac{2^2.3^2.4^2.....59^2}{1.3.2.4.3.5.....58.60}\)
= \(\frac{2}{1}.\frac{59}{60}\)
= \(\frac{59}{30}\)
Ghi chú: \(\frac{2^2.3^2.4^2.....59^2}{1.3.2.4.3.5.....58.60}\)--> chịt tiêu liên tục, còn \(\frac{2}{1}.\frac{59}{60}\).
Bai 1 : Thuc hien cac phep tinh ( tinh nhanh neu co the ) :
a) \(2\frac{1}{3}-\frac{1}{3}\)\(:\)\(\left[15\%+\left(-\frac{2}{3}+0,4.5\right)\right]\)
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Thuc hien phep tinh sau
\(\frac{11}{5.7}+\frac{11}{7.9}+.......+\frac{11}{59.61}\)
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=> \(\Rightarrow\left(\frac{11}{5}-\frac{11}{7}+\frac{11}{7}-\frac{11}{9}+...+\frac{11}{59}-\frac{11}{61}\right):2=\left(\frac{11}{5}-\frac{11}{61}\right):2=\frac{616}{305}:2=\frac{308}{305}\)
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Đặt \(A=\frac{11}{5.7}+\frac{11}{7.9}+...+\frac{11}{59.61}\)
\(\Rightarrow2A:11=\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{59.61}\)
\(\Rightarrow2A:11=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{59}-\frac{1}{61}\)
\(\Rightarrow2A:11=\frac{1}{5}-\frac{1}{61}\)
\(\Rightarrow2A:11=\frac{56}{305}\)
\(\Rightarrow2A=\frac{56}{305}.11=\frac{616}{305}\)
\(\Rightarrow A=\frac{616}{305}:2=\frac{308}{305}\)
Vậy kết quả của phép tính trên là \(\frac{308}{305}\)
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11/2x(1/5-1/7+1/7+1/9+.....+1/59-1/61)
=11/2x(1/5-1/61)
=11/2x56/305
=308/305
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cac ban giup toi cau nay voi:
Thuc hien phep tinh(hop ly neu co the):
(10/99+11/199-12/299)x(1/2-1/3+-1/6)
mong cac ban giup minh nhanh voi a. Minh xin cam on
\(\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{1}{2}-\frac{1}{3}+-\frac{1}{6}\right)\)
\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)
\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times0\)
\(=0\)
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Tinh gia tri cac bieu thuc sau
a) A = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)
\(A=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{49\cdot50}\)
\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(A=\frac{1}{1}-\frac{1}{50}\)
\(A=\frac{49}{50}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(=1-\frac{1}{50}=\frac{49}{50}\)
khi thuc hien phep nhan 1 so tu nhien voi 2009 ban Ha so y viet quen 2 chu so 0 cua so 2009 nen tich giam di 346500.cac ban hay tim tich dung giup minh voi.
Khong thuc hien phep tinh de tim ket qua. Hay chung minh rang cac tong sau lon hon 1
N = \(\frac{21}{90}+\frac{31}{72}+\frac{21}{40}+\frac{-1}{45}+\frac{-1}{50}\)
THUC HIEN PHEP TINH:\(\frac{^{x^2}}{5x+25}-\frac{10-2x}{x}+\frac{5x+50}{5x+x^2}\)
LAM ON GIUP MINH VS LAM HOAI MA NO CU SAI T.T
\(\frac{x^2}{5x+25}-\frac{10-2x}{x}+\frac{5x+50}{5x+x^2}=\frac{x^2}{5\left(x+5\right)}-\frac{10-2x}{x}+\frac{5x+50}{x\left(x+5\right)}\)
\(=\frac{x^3}{5x\left(x+5\right)}-\frac{5\left(x+5\right)\left(10-2x\right)}{5x\left(x+5\right)}+\frac{5\left(5x+50\right)}{5x\left(x+5\right)}\)
\(=\frac{x^3+10x^2+25x}{5x\left(x+5\right)}=\frac{x\left(x+5\right)^2}{5x\left(x+5\right)}=\frac{x+5}{5}\)
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khong thuc hien phep tinh o mau , hay so sanh cac phan so sau
a) A = \(\frac{244.395-151}{244+395.243}\)va B=\(\frac{423134.846267-423133}{4423133.846267+423134}\)
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ban cu chon hen xui di 50xui va 50mayman