Tính NHANH :
a.125-(27-75+73)
b.314-(21-86+79)
c.728-(211-72+89)
d.(547-623)-(547-23)
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a)
=36-79+150+79-36
=36-36-79+79+150
=150
b)
=27-514-486+73
=27+73-514-486
=-900
c)
=35-42+14-35-58+86
=35-35-42-58+14+86
=0
d)
=125-153+87-125+13-47
=125-125-153-47+87+13
=-100
e)
=1267-196-267-304
=1267-267-196-304
=500
g)
=1152-374-1152-65+374
=1152-1152-374+374-65
=-65
a: \(M=\dfrac{631}{315}\cdot\dfrac{1}{651}-\dfrac{1}{105}\cdot\dfrac{2603}{651}-\dfrac{4}{315\cdot651}+\dfrac{4}{105}\)
\(=\dfrac{1}{315\cdot651}\cdot\left(631-4\right)-\dfrac{1}{105}\left(\dfrac{2603}{651}-4\right)\)
\(=\dfrac{1}{105}\cdot\dfrac{1}{1953}\cdot627+\dfrac{1}{105\cdot651}\)
\(=\dfrac{1}{105\cdot651}\left(\dfrac{1}{3}\cdot627+1\right)=\dfrac{1}{105\cdot651}\cdot210=\dfrac{2}{651}\)
b: \(N=\dfrac{1095}{547}\cdot\dfrac{3}{211}-\dfrac{546}{547\cdot211}-\dfrac{4}{547\cdot211}\)
\(=\dfrac{1}{547\cdot211}\left(1095\cdot3-546-4\right)\)
\(=\dfrac{1}{547\cdot211}\cdot2735=\dfrac{5}{211}\)
=>\(B=\left(2\cdot\frac{1}{547}\cdot\frac{3}{211}\right)-\left(\frac{546}{547}\cdot\frac{1}{211}\right)-\left(\frac{4}{547\cdot211}\right)\)
=>\(B=\frac{6}{547\cdot211}-\frac{546}{547\cdot211}-\frac{4}{547\cdot211}\)
=>\(B=\frac{6}{115417}-\frac{546}{115417}-\frac{4}{115417}\)
=>\(B=\frac{-544}{115417}\)
\(2\dfrac{1}{547}.\dfrac{3}{211}-\dfrac{546}{547}.\dfrac{1}{211}-\dfrac{4}{547.211}\)
\(=\left(2+\dfrac{1}{547}\right).3.\dfrac{1}{211}-\left(1-\dfrac{1}{547}\right).\dfrac{1}{211}-4.\dfrac{1}{547}.\dfrac{1}{211}\)
Đặt \(a=\dfrac{1}{547};b=\dfrac{1}{211}\)
Thay \(a=\dfrac{1}{547};b=\dfrac{1}{211}\) vào biểu thức trên , ta được :
\(\left(2+a\right).3b-\left(1-a\right)b-4ab\)
\(=6b+3ab-b+ab-4ab\)
\(=5b\)
\(=5.\dfrac{1}{211}\)
\(=\dfrac{5}{211}\)
Vậy g/t biểu thức trên là : \(\dfrac{5}{211}\)
A) 57.39 + 43.39 - 57.11 - 43
= 57.(39 - 11) + 43.(39 - 1)
= 57.28 + 43.38
= 57.28 + 43.(28 + 10)
= 57.28 + 43.28 + 43.10
= 28.(57 + 43) + 430
= 28.100 + 430
= 2800 + 430
= 3230
B) 547 - 1378 - 2547 + 2378 + 117
= (2378 - 1378) - (2547 - 547) + 117
= 1000 - 1000 + 117
= 0 + 117
= 117
C) -462 + [(-814) + 462 + 314]
= -462 - 814 + 462 + 314
= (-462 + 462) - (814 - 314)
= 0 - 500
= -500
D) [461 + (-148) + 80] + (-461)
= 461 - 148 + 80 - 461
= (461 - 461) - (148 - 80)
= 0 - 68
= -68
E) 1152 - (-374 + 1152) + (-65 + 374)
= 1152 + 374 - 1152 - 65 + 374
= (1152 - 1152) + (374 + 374) - 65
= 0 + 748 - 65
= 683
a.125-(27-75+73)
= 125 - (27 + 73 - 75)
= 125 - (100 - 75)
=125 - 25
=100
b.314-(21-86+79)
= 314 - (21 + 79 - 86)
= 314 - (100 - 86)
= 314 - 14
= 300
c.728-(211-72+89)
= 728 - (211 + 89 -72)
= 728 - (300 - 72)
= 728 - 28
= 700
d.(547-623)-(547-23)
= 547 - 623 - 547 + 23
= 547 - 547 + 23 - 623
= 0 + -600
= - 600
a)125-(27-75+73)=125-27+75-73=(125+75)-(27+73)=200-100=100. b)314-(21-86+79)=314-21+86-79=(314+86)-(21+79)=400-100=300. c) 728-(221-72+89)=(728+72)-(221+89)=800-300=500. d) (547-623)-(547-23)=547-623-547+23=(547-547)+(23-623)=0+(-600)=-600