tính hợp A=1/2+1/3-1/4:(1/2+1/3-1/4)-1/2.1/3.1/4
Những câu hỏi liên quan
A=1/-2.1/3+1/-3.1/4+....+1/-9.10
tính A
\(A=-\dfrac{1}{2.3}-\dfrac{1}{3.4}-\dfrac{1}{4.5}-...-\dfrac{1}{9.10}\)
\(\Rightarrow-A=\dfrac{3-2}{2.3}+\dfrac{4-3}{3.4}+\dfrac{5-4}{4.5}+...+\dfrac{10-9}{9.10}=\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{9}-\dfrac{1}{10}=\)
\(=\dfrac{1}{2}-\dfrac{1}{10}=\dfrac{2}{5}\Rightarrow A=-\dfrac{2}{5}\)
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tính nhanh 1/1.1/2+1/2.1/3+1/3.1/4+........+1/9991000
1/1.2+1/2.3+1/3.4+1/4.5+.................+1/9990999.9991000
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.................+1/9990999-1/9991000
=1-1/9991000
=9990999/9991000
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3x.(1/1.1/2+1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6)=3/4
tính nhanh
1/2.1/2+1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6
Lời giải rõ ràng nha mọi người
\(\frac{1}{2}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}\)\(+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)
\(=\frac{1}{4}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}\)
\(=\frac{1}{4}+\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\right)\)
\(=\frac{1}{4}+\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\right)\)
\(=\frac{1}{4}+\left(\frac{1}{2}-\frac{1}{6}\right)\)
\(=\frac{1}{4}+\frac{1}{3}\)
\(=\frac{7}{12}\)
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HINH NHU BAN VIET NHAM DAU BAI ROI
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\(\frac{1}{1}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)
\(=\frac{1.1}{1.2}+\frac{1.1}{2.3}+\frac{1.1}{3.4}+\frac{1.1}{4.5}+\frac{1.1}{5.6}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=1-\frac{1}{6}\)
\(=\frac{5}{6}\)
_Chúc bạn học tốt_
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tính nhanh:1/1.1/2+1/2.1/3+1/3.1/4+....+1/9991000
Bài 1:
a)-3/5.-1/2
b)-4/7.2/3
c)-333/151.-302/111
d)-147.1/7
Bài 2 :1/1.1/2+1/2.1/3+1/3.1/4+....+1/998.1/999+1/999.1/1000
Bài 2:
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{999\cdot1000}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{999}-\dfrac{1}{1000}\)
=1-1/1000
=999/1000
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thực hiện phép tính bằng cách hợp lí nếu có
1/2.1/-3+1/-3.1/4+1/4.1/-5+1/-5.1/6+1/6.1/-7+1/-7.1/8
1/2.1/3+1/3.1/4+1/4.....1/19.1/20
1/2.1/3+1/3.1/4...........1/19/1/20
=1/2-1/20
=9/20
ok
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vinh dư
tính nhanh:
M= 1/2.1/3+1/-3.1/4+1/-4.1/5+1/-5.1/6