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a) 11070 : {15 . [ 356 – ( 2110 – 2000 )]}
= 11070 : [15(356 – 110)] = 11070 : 3690 = 3
b) 62500 : { 50 2 : [ 112 – ( 52 – 2 3 . 5 )]}
= 62500 : { 2500 : [ 112 – ( 52 – 40 )]}
= 62500 : { 2500 : [ 112 – 12 ]}
= 62500 : { 2500 : 100 }
= 62500 : 25
= 2500
c) 3 3 . 5 3 – 20 . { 300 – [ 540 – 2 3 ( 7 8 : 7 6 + 7 0 )]}
= 3 3 . 5 3 – 20 . {300 – [ 540 – 2 3 (72 + 1 )]
= 3 3 . 5 3 – 20 . [ 300 – (540 - 8 . 50)
= 27 . 125 – 20 . [300 – ( 540 - 400 )]
= 3375 – 20 . ( 300 – 140 )
= 3375 – 20 . 160
= 3375 – 3200
= 175
c) 3 3 . 5 3 – 20 . { 300 – [ 540 – 2 3 ( 7 8 : 7 6 + 7 0 )]}
= 3 3 . 5 3 – 20 . {300 – [ 540 – 2 3 ( 7 2 + 1 )]
= 3 3 . 5 3 – 20 . [ 300 – (540 - 8 . 50)
= 27 . 125 – 20 . [300 – ( 540 - 400 )]
= 3375 – 20 . ( 300 – 140 )
= 3375 – 20 . 160
= 3375 – 3200
= 175
a) 31 . { 330 : [178 – 4 . ( 35 – 21 : 3 )]} = 31 . { 330 : [178 – 4 . ( 35 – 7)]}
= 31 . { 330 : [178 – 4 . 28]} = 31 . { 330 : [178 – 112]}
= 31 . { 330 : 66 } = 31 . 5 = 155
a) 31 . { 330 : [178 – 4 . ( 35 – 21 : 3 )]} = 31 . { 330 : [178 – 4 . ( 35 – 7)]}
= 31 . { 330 : [178 – 4 . 28]} = 31 . { 330 : [178 – 112]}
= 31 . { 330 : 66 } = 31 . 5 = 155
b) ( 5 19 . 5 14 ) : 5 32 = 5 33 : 5 32 = 5
a) - 2 3 .125.32. ( − 76 ) > 0 12.74 . - 3 4 . ( − 395 ) < 0 ⇒ ( − 2 ) 3 .125.32. ( − 76 ) > 12.74. ( − 3 ) 4 . ( − 395 )
b) ( − 1 ) . ( − 2 ) . ( − 3 ) ... ( − 20 ) > 0 ( − 3 ) . ( − 4 ) . ( − 5 ) ... ( − 23 ) < 0 ⇒ ( − 1 ) . ( − 2 ) . ( − 3 ) ... ( − 20 ) > ( − 3 ) . ( − 4 ) . ( − 5 ) ... ( − 23 )
c) Ta có: \(\dfrac{3}{5}+\dfrac{-5}{20}+\dfrac{30}{75}+\dfrac{-7}{4}\)
\(=\dfrac{3}{5}+\dfrac{2}{5}+\dfrac{-1}{4}+\dfrac{-7}{4}\)
\(=1-2=-1\)
Giải:
a)-1/12+4/3=-1/12+16/12=15/12=5/4
b)(-4/14-3/15)-(1/5-20/35-(-1)).7
=-17/35-22/35.7
=-17/35-22/5
=-171/35
c)3/5+-5/20+30/75+-7/4
=3/5+-1/4+2/5+-7/4
=(3/5+2/5)+(-1/4+-7/4)
=1+-2
=-1
d)5/6.-12/14+7/13
=-5/7+7/13
=-16/91
e)2/-9-5/-36-1/4
=-1/12-1/4
=-1/3
f)2/23+-5/12+7/18+21/23+-7/12
=(2/23+21/23)+(-5/12+-7/12)+7/18
=1+-1+7/18
=7/18
\(3^3\cdot5^3-20\cdot\left\{300-\left[546-2^3\cdot\left(7^8-7^6+7^0\right)\right]\right\}\)
\(=3^3\cdot5^3-20\cdot\left\{300-\left[546-2^3\cdot5647153\right]\right\}\)
\(=3^3\cdot5^3-20\cdot\left\{300-\left[546-45177224\right]\right\}\)
\(=3^3\cdot5^3-20\cdot\left\{300--45176678\right\}\)
\(=3^3\cdot5^3-20\cdot45176978\)
\(=3375-903539560\)
\(=-903536185\)
\(626500:\left\{50^2:\left[178-4\cdot\left(35-21:3\right)\right]\right\}\)
\(=626500:\left\{50^2:\left[178-4\cdot\left(35-7\right)\right]\right\}\)
\(=626500:\left\{50^2:\left[178-4\cdot28\right]\right\}\)
\(=626500:\left\{50^2:\left[178-112\right]\right\}\)
\(=626500:\left\{50^2:66\right\}\)
\(=626500:\frac{1250}{33}\)
\(=\frac{82698}{5}\)
CHUC BAN HOC TOT >.<