Question

tinh nhanh

b=29x87-29x23+64x71

d= \(\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+....+\frac{1}{19x20}\)

Answer 1

b) \(29\times87-29\times23+64\times71=29\times\left(87-23\right)+64\times71\)

                                            \(=29\times64+64\times71=64\times\left(29+71\right)=64\times100=6400\)

c) \(\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{19\times20}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{19}-\frac{1}{20}\)

\(=\frac{1}{2}-\frac{1}{20}\)

\(=\frac{9}{20}\)

Answer 2

B = 29 x  ( 87 - 23 ) + 64 x 71 

B = 29 x  64            + 64 x 71 

B = 64 x ( 29 + 71 )

B = 64 x 100

B = 6400

D = \(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{19}-\frac{1}{20}\)\(\frac{1}{20}\)

D = \(\frac{1}{2}-\frac{1}{20}\)

D = \(\frac{9}{20}\)

Answer 3

B = 29 x 87 - 29 x 23 + 64 x 71

    = 29 x (87 - 23)  + 64 x 71

   = 29 x 64 + 64 x 71

  = (29 + 71) x 64

  = 100 x 64 = 6400

Answer 4

D = \(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{19.20}\)

  \(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+....+\frac{1}{19}-\frac{1}{20}\)

   \(=\frac{1}{2}-\frac{1}{20}\)

    \(=\frac{9}{20}\)

Answer 5

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{19}-\frac{1}{20}\)

\(=\frac{1}{2}-\frac{1}{20}\)

\(=\frac{9}{20}\)