Tính nhanh:
a ) − 1 3 . − 1 5 . − 1 7 . − 1 9
b ) 1000 − 1 3 1000 − 2 3 1000 − 3 3 . ... 1000 − 60 3
c ) A = 1 1 .2 + 1 2 .3 + . ... + 1 99 .10
Những câu hỏi liên quan
Giúp mình với , mình cần gấp :
a) Tính nhanh :
A = 1/3 - 3/4 - ( - 3/5 ) + 1/72 -2/9 - 1/36 +1/15
b) Tính nhanh :
B = 1/5 - 3/7 + 5/9 - 2/11 + 7/13 - 2/11 - 5/9 + 3/7 - 1/5
c) Tính nhanh :
C = 1/100- 1/100.99 - 1/99.98 - 1/98.97 - ..............- 1/3.2 -1/2.1
c/
C = 1/100-1/100-1/99-1/99-1/98-1/98-1/97-..........-1/3-1/2-1/2-1/1
C = 1/100-1/100-1/1
C = 0-1/1
C = -1
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A=1/1*3+1/3*5+1/5*7+.......+1/13*15 tính nhanh
\(A=\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+...+\dfrac{1}{13\times15}\)
\(2A=\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{13}-\dfrac{1}{15}\)
\(2A=\dfrac{1}{1}-\dfrac{1}{15}\)
\(2A=\dfrac{14}{15}\)
\(A=\dfrac{7}{15}\)
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\(A=\dfrac{1}{1\cdot3}+\dfrac{1}{3\cdot5}+\dfrac{1}{5\cdot7}+...+\dfrac{1}{13\cdot15}\)
\(\Rightarrow2A=\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+...+\dfrac{2}{13\cdot15}\)
\(\Rightarrow2A=\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{13}-\dfrac{1}{15}\)
\(\Rightarrow2A=1-\dfrac{1}{15}\)
\(\Rightarrow A=-\dfrac{1}{14}:2\)
\(\Rightarrow A=-\dfrac{1}{28}\)
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Mình sửa lại tí nhé:
\(\Rightarrow2A=\dfrac{14}{15}\)
\(\Rightarrow A=\dfrac{14}{15}:2\)
\(\Rightarrow A=\dfrac{7}{15}\)
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Tính nhanh
A=2^3 - 1^4+1^5/4^3-1^2+2^5
tính nhanh
A= 1/1*3+1/3*5+1/5*7+.....+1/99*101
Link nè lên google search nha!
https://olm.vn/hoi-dap/question/162533.html
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A = \(\frac{1}{1\cdot3}\)+ \(\frac{1}{3.5}\)+ \(\frac{1}{5.7}\)+ ..... + \(\frac{1}{99.101}\)
= \(\frac{1}{2}\). ( \(\frac{1}{1.3}\)+ \(\frac{1}{3.5}\)+ \(\frac{1}{5.7}\)+ ...... + \(\frac{1}{99.101}\))
= \(\frac{1}{2}\). ( 1 - \(\frac{1}{3}\)+ \(\frac{1}{3}\)- \(\frac{1}{5}\)+ \(\frac{1}{5}\)- \(\frac{1}{7}\)+ ........ + \(\frac{1}{99}\)- \(\frac{1}{101}\))
= \(\frac{1}{2}\). ( 1 - \(\frac{1}{101}\))
= \(\frac{1}{2}\). \(\frac{100}{101}\)= \(\frac{50}{101}\)
Thấy đúng thì cho mình một k nha!!!
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Xem thêm câu trả lời
Tính nhanh a = 1/3 - 3/4 - 3/5 + 1/72 - 2/9 - 1/36 + 1/15
20 tháng 6 2021 lúc 7:25
Tính : a, 5 + 2/3 b, 12/5 x 1/4 c,3/8 - 1/3 d, 6/15 - 1/3 : 5/3 Bạn nào nhanh và đúng nhất mình ticks đúng cho nha!
a) \(5+\dfrac{2}{3}=\dfrac{15}{3}+\dfrac{2}{3}=\dfrac{17}{3}\)
b) \(\dfrac{12}{5}\cdot\dfrac{1}{4}=\dfrac{3}{5}\)
c) \(\dfrac{3}{8}-\dfrac{1}{3}=\dfrac{9}{24}-\dfrac{8}{24}=\dfrac{1}{24}\)
d) \(\dfrac{6}{15}-\dfrac{1}{3}:\dfrac{5}{3}=\dfrac{6}{15}-\dfrac{1}{3}\cdot\dfrac{3}{5}=\dfrac{6}{15}-\dfrac{1}{5}=\dfrac{6}{15}-\dfrac{3}{15}=\dfrac{3}{15}=\dfrac{1}{5}\)
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\(5+\dfrac{2}{3}=\dfrac{5}{1}+\dfrac{2}{3}=\dfrac{15}{3}+\dfrac{2}{3}=\dfrac{17}{9};\dfrac{12}{5}x\dfrac{1}{4}=\dfrac{12}{40};\dfrac{3}{8}-\dfrac{1}{3}=\dfrac{9}{24}-\dfrac{8}{24}=\dfrac{1}{24}\)
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\(\dfrac{6}{15}-\dfrac{1}{3}:\dfrac{5}{3}=\dfrac{6}{15}-\dfrac{3}{15}=\dfrac{3}{15}=\dfrac{1}{3}\)
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Xem thêm câu trả lời
Tính :
A=(1+1/1×3)×(1+1/2×4)×(1+1/3×5)×…×(1+1/99×101) nhanh nhanh giúp nha mai thi rồi
Tính nhanh
a, -7/ 21 +( 1 + 1/3)
b, 2/15 + ( 5/9 - 6/9)
c, (-1/5 + 3/12) + -3/4
Ai nhanh tick nha
\(\frac{-7}{21} +\left(1+\frac{1}{3}\right)\)
\(=\frac{-1}{3}+1+\frac{1}{3}=1\)
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Tính nhanh
a,A=3/1×3 +3/3×5 + ......+ 3/49×51
b,(1+1/1×3)×(1+1/2×4)×(1+1/3×5)×.......×(1+1/99×101)
\(\)\(A=\frac{3}{1\times3}+\frac{3}{3\times5}+...+\frac{3}{49\times51}\)
\(\Leftrightarrow A=\frac{3}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{49}-\frac{1}{51}\right)\)
\(\Leftrightarrow A=\frac{3}{2}.\left(1-\frac{1}{51}\right)\)
\(\Leftrightarrow A=\frac{3}{2}.\frac{50}{51}\)
\(\Leftrightarrow A=\frac{25}{17}\)
\(\)\(\)
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\(\left(1+\frac{1}{1\cdot3}\right)\left(1+\frac{1}{2\cdot4}\right)\left(1+\frac{1}{3\cdot5}\right)...\left(1+\frac{1}{99\cdot101}\right)\)
\(=\frac{4}{1\cdot3}\cdot\frac{9}{2\cdot4}\cdot\frac{16}{3\cdot5}\cdot...\cdot\frac{10000}{99\cdot101}\)
\(=\frac{\left(2\cdot2\right)\left(3\cdot3\right)\left(4\cdot4\right)\cdot...\cdot\left(100\cdot100\right)}{\left(1\cdot3\right)\left(2\cdot4\right)\left(3\cdot5\right)\cdot...\cdot\left(99\cdot101\right)}\)
\(=\frac{\left(2\cdot3\cdot4\cdot...\cdot100\right)\left(2\cdot3\cdot4\cdot...\cdot100\right)}{\left(1\cdot2\cdot3\cdot...\cdot99\right)\left(3\cdot4\cdot5\cdot...\cdot101\right)}\)
\(=\frac{100\cdot2}{1\cdot101}\)
\(=\frac{200}{101}\)
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Tính ( tính nhanh nếu có thể)
a) (1 1/4 + 3/5): -11/12 + (3/8 - 1 2/5) : -11/12
b) ( 3/8 - 1 2/5) : -11/15 + (1 1/4 + 3/5) -11/15
a.
\(\left(1\frac{1}{4}+\frac{3}{5}\right):\left(-\frac{11}{12}\right)+\left(\frac{3}{8}-1\frac{2}{5}\right):\left(-\frac{11}{12}\right)\)
\(=\left(\frac{5}{4}+\frac{3}{5}+\frac{3}{8}-\frac{7}{5}\right):\left(-\frac{11}{12}\right)\)
\(=\left(\frac{13}{8}-\frac{4}{5}\right):\left(-\frac{11}{12}\right)\)
\(=\frac{33}{40}:\left(-\frac{11}{12}\right)\)
\(=\frac{33}{40}\cdot\left(-\frac{12}{11}\right)\)
\(=\frac{-9}{10}\)
b.
\(\left(\frac{3}{8}-1\frac{2}{5}\right):\left(-\frac{11}{15}\right)+\left(1\frac{1}{4}+\frac{3}{5}\right):\left(-\frac{11}{15}\right)\)
\(=\left(\frac{3}{8}-\frac{7}{5}+\frac{5}{4}+\frac{3}{5}\right):\left(-\frac{11}{15}\right)\)
\(=\left(\frac{13}{8}-\frac{4}{5}\right):\left(-\frac{11}{15}\right)\)
\(=\frac{33}{40}:\left(-\frac{11}{15}\right)\)
\(=\frac{33}{40}\cdot\left(-\frac{15}{11}\right)\)
\(=\frac{-9}{8}\)