Tính nhanh
a) 119 + 24 +81 ; b) 996 + 45
c) 37 + 189
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a: \(32684+41325+316+675\)
\(=\left(32684+316\right)+\left(41325+675\right)\)
\(=33000+42000=75000\)
b: \(25\cdot18\cdot4\cdot2\)
\(=18\cdot2\cdot\left(25\cdot4\right)\)
\(=36\cdot100=3600\)
c: \(19\cdot81+19+18\cdot19\)
\(=19\left(81+1+18\right)\)
\(=19\cdot100=1900\)
A, 32684 + 41325 + 316 + 675
=(32684+316)+(41325+675)
=33000+42000
=75000
B, 25 x 18 x 4 x 2
=(25x4)x(18x2)
=100x36
=3600
C, 19 x 81 + 19 + 18 x 19
=19x(81+18+1)
=19x100
=1900
số số hạng là :`(26 - 2) : 2 + 1 = 13(số hạng)`
`13 : 2 = 12 dư 1 `
`=>A = (2 - 4) + (6 - 8) + (10 - 12) + ... + (22 - 24) + 26`
`=>A = (-2) + (-2) + (-2) + ... + (-2) + 26`
`=>A = (-2) xx 6 + 26`
`=> A = -12 + 26`
`=> A = 14`
Ta có: \(A=1+\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{48}+\dfrac{1}{80}+\dfrac{1}{120}\)
\(\Leftrightarrow2A=2+\dfrac{2}{2\cdot4}+\dfrac{2}{4\cdot6}+\dfrac{2}{6\cdot8}+\dfrac{2}{8\cdot10}+\dfrac{2}{10\cdot12}\)
\(\Leftrightarrow2A=2+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{12}\)
\(\Leftrightarrow2A=2+\dfrac{1}{2}-\dfrac{1}{12}\)
\(\Leftrightarrow2A=\dfrac{24}{12}+\dfrac{6}{12}-\dfrac{1}{12}\)
\(\Leftrightarrow2A=\dfrac{29}{12}\)
hay \(A=\dfrac{29}{24}\)
a, 119 + 24 + 81
= ( 119 + 81 ) + 24
= 200 + 24
= 224
b, 16 . 6 . 125
= 16 . 125 . 6
= 2000 . 6
= 12000
c, 25 . 104
= 25 . 100 + 25 . 4
= 2500 + 100
= 2600
d, 12 . 19 + 12
= 12 . 19 + 12 . 1
= 12 . ( 19 + 1 )
= 12 x 20
= 240
e, 43 . 27 + 93 . 43 + 57 . 61 + 59 . 57
= 43 . ( 27 + 93 ) + ( 61 + 59 ) . 57
= 43 . 120 + 120 . 57
= 120 . 43 + 120 . 57
= 120 . ( 43 + 57 )
= 120 . 100
= 12000
a/ 199 + 24 + 81
= (119+81) + 24
= 200 + 24
= 224
b/ 16 . 6 . 125
= ( 16 . 125) . 6
= 2000 . 6
= 12000
c/ 25 . 104
= 25 . ( 100 + 4 )
= 25 . 100 + 25 . 4
= 2500 + 100
= 2600
d/43 . 27 + 93 . 43 + 57 . 61 + 59 . 57
= 43 . ( 27 + 93) + 57 . ( 61+ 59)
= 43 . 130 + 57 . 130
= (43 + 57) . 130
= 100 . 130
= 1300
`81+(-70)+119 +(-30)+1`
`= (81+119)+[(-70)+(-30)] +1`
`= 200+ (-100)+1`
`= 100+1`
`=101`
\(a,119+24+81\)
\(=200+24=224\)
\(b,996+45\)
\(=996+4+39\)
\(=1039\)
\(c,37+189\)
\(=26+11+189\)
\(=226\)
119+24+81=(119+81)+24=200+24=224
996+45=(996+4)+41=1000+41=1041
37+189=(189+11)+26=200+26=226