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NT
0
30 tháng 8 2023
\(\dfrac{2}{3}+\dfrac{5}{6}+\dfrac{9}{10}+\dfrac{14}{15}+\dfrac{20}{21}+\dfrac{27}{28}+\dfrac{35}{36}+\dfrac{44}{45}\\ =\left(1-\dfrac{1}{3}\right)+\left(1-\dfrac{1}{6}\right)+\left(1-\dfrac{1}{10}\right)+\left(1-\dfrac{1}{15}\right)+\left(1-\dfrac{1}{21}\right)+\left(1-\dfrac{1}{28}\right)+\left(1-\dfrac{1}{36}\right)+\left(1-\dfrac{1}{45}\right)\\ =8-\left(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{15}+\dfrac{1}{21}+\dfrac{1}{28}+\dfrac{1}{36}+\dfrac{1}{45}\right)\\ =8-\left(\dfrac{2}{6}+\dfrac{2}{12}+\dfrac{2}{20}+\dfrac{2}{30}+\dfrac{2}{42}+\dfrac{2}{56}+\dfrac{1}{72}+\dfrac{1}{90}\right)\\ =8-\left(\dfrac{2}{2.3}+\dfrac{2}{3.4}+\dfrac{2}{4.5}+\dfrac{2}{5.6}+\dfrac{2}{6.7}+\dfrac{2}{7.8}+\dfrac{2}{8.9}+\dfrac{2}{9.10}\right)\\ =8-2\left(\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+\dfrac{1}{5.6}+\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}\right)\\ =8-2\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\right)\\ =8-2\left(\dfrac{1}{2}-\dfrac{1}{10}\right)=8-2.\dfrac{2}{5}=8-\dfrac{4}{5}=\dfrac{36}{5}\)
XU
25 tháng 2 2020
Bài 1:
a, 35 + 28 - 42 - 35 - 28
= (35 - 35) + (28 - 28) - 42
= -42
b, 55 +56 +57 +58 +59 -28 -26 -25 -29 -27
=(55-25)+(56-26)+(57-27)+(58-28)+(59-29)
= 30 + 30 + 30 + 30 + 30
= 150
Bài 2:
a, -1983 - (325 - 1983)
= -1983 - 325 + 1983
= -325
b, -549 + (321 + 549)
= -549 + 321 + 549
= 321
c, 54 - (-65 + 98 - 15)
= 54 + 65 - 98 + 15
= 36
d, (67 + 23) - (56 - 32 + 46)
= 67 + 23 - 56 + 32 - 46
= 20
e, 24 - [ 15 - (42 - 18) ]
= 24 - [ 15 - 42 + 18 ]
= 24 - (-9)
= 33
f, (63 - 21 + 84) - (49 - 36 + 87)
= 63 - 21 + 84 - 49 + 36 - 87
= 26
g, 284 - [ (214 - 168) - (865 - 987) ]
= 284 - [ 214 - 168 - 865 + 987 ]
= 284 - 168
= 116
h, 654 + [ (545 - 726) - (321 - 465) ]
= 654 + [ 545 - 726 - 321 + 465 ]
= 654 + (-37)
= 617
Chúc bạn học tốt !
10 tháng 7 2017
Tính nhanh
a) 43 x 64 + 43 x 36
= 43 x (64 + 36)
= 43 x 100
= 4300
b) 26 + 27 + 28 + 29 + ... + 33 ( Có 8 số hạng )
= (33 + 26) x 8 : 2 = 236
c) 135 + 36 + 65 + 40
= (135 + 65) + (36 + 40)
= 200 + 76
= 276
d) 463 + 318 + 137 + 22
= (463 + 137) + ( 318 + 22 )
= 600 + 340
= 940
đ ) 20 + 21 + ... + 30 ( có 11 số hạng )
= ( 30 + 20 ) x 11 : 2 = 275
9 tháng 8 2017
a) \(\dfrac{7}{-25}+\dfrac{8}{25}=\dfrac{-7}{25}+\dfrac{8}{25}=\dfrac{1}{25}\)
\(\dfrac{4}{5}+\dfrac{4}{-18}=\dfrac{4}{5+\left(-18\right)}=\dfrac{4}{-13}=\dfrac{-4}{13}\)
\(\dfrac{7}{21}+\dfrac{9}{-36}=\dfrac{1}{3}+\dfrac{1}{-4}=\dfrac{1}{3+\left(-4\right)}=\dfrac{1}{-1}=1\)
b) \(\dfrac{12}{20}-\dfrac{2}{5}=\dfrac{12}{20}+\left(\dfrac{-2}{5}\right)=\dfrac{3}{5}+\dfrac{-2}{5}=\dfrac{3+\left(-2\right)}{5}=\dfrac{1}{5}\)
\(\dfrac{2}{3}-\dfrac{-5}{6}=\dfrac{2}{3}+\dfrac{5}{6}=\dfrac{4}{6}+\dfrac{5}{6}=\dfrac{9}{6}=\dfrac{3}{2}\)
\(6-\dfrac{3}{20}=6+\dfrac{-3}{20}=\dfrac{60}{60}+\dfrac{-9}{60}=\dfrac{51}{60}\)
c) \(\dfrac{2}{21}.\dfrac{-7}{3}=\dfrac{2.\left(-1\right)}{7.3}=\dfrac{-2}{21}\)
\(\dfrac{27}{28}.\left(-21\right)=\dfrac{27.\left(-21\right)}{28}=\dfrac{-567}{28}\)
\(\dfrac{-15}{7}.\dfrac{-14}{25}=\dfrac{-3.\left(-2\right)}{1.5}=\dfrac{6}{5}\)
H
17 tháng 9 2023
`a) 465 + [ 58 + ( -465 ) + ( -38 ) ]`
`= 465 + 58 - 465 -38`
`= (465-465) + (58-38)`
`=0+ 20`
`=20`
`b) ( 35 - 17 ) + ( 17 + 20 - 35 )`
`= 35 -17 +17 +20-35`
`= (35-35) + (-17+17)+20`
`= 0 + 0 +20`
`=20`
18 tháng 9 2023
a)465+[58+(−465)+(−38)]
=465+58−465−38=465+58−465−38
=(465−465)+(58−38)=(465−465)+(58−38)
=0+20=0+20
=20=20
�)(35−17)+(17+20−35)b)(35−17)+(17+20−35)
=35−17+17+20−35=35−17+17+20−35
=(35−35)+(−17+17)+20=(35−35)+(−17+17)+20
=0+0+20=0+0+20
=20=20
15 tháng 11 2021
b: \(=12\left(35\cdot173+27\right)\)
\(=12\cdot6082=72984\)