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a) (39 - 2689) + 2689
= 39 + (2689 - 2689)
= 39 + 0
= 39
__
b) - (12 345 - 999) = - (12 345 - 1000+1)
- 12 345 + 12345 + 999 -1000+ 1 = 0
0=0
----
c) (-1312) - (1998 - 1312)
= (1312 - 1312) - 1998
= 0 - 1998 = -1998
d) (-6955) - 33 - 45 - (-133)
= -(6955+45) - (33 - 133)
= -7000 - (-100)
= -7000 + 100 = -6900
e) (-21) - 23 - [16 - (-18) - 18 - 16] + 2144
= -21 - 23 - 16 - 18 + 18 + 16 + 2144
= (16 - 16) + (18 - 18) + (2144 - 21 - 23)
= 0 + 0 + 2100
= 2100
g) (-2020) - 2018 - 2016 - ...-2008
= - [(2020+ 2008): 2 x 7]
= -[(4028): 2 x 7]
= -[2014 x 7]
= - 14098
a) − 4 7 . 5 11 + − 4 7 . 6 11 + 2 4 7 = − 4 7 . 5 11 + 6 11 + 18 7 = − 4 7 .1 + 18 7 = − 4 7 + 18 7 = 14 7 = 2.
b) 1 4 + 11 9 : 34 5 + − 2 9 + 29 4 : 34 5 = 1 4 + 11 9 . 5 34 + − 2 9 + 29 4 . 5 34 = 5 34 . 1 4 + 11 9 + − 2 9 + 29 4 = 5 34 . 1 4 + 29 4 + 11 9 + − 2 9 = 5 34 . 30 4 + 9 9 = 5 34 . 15 2 + 1 = 5 34 . 17 2 = 5 4 .
\(a,-101-500-399\\ =-100-500-400\\ =-1000\\ b,-540+2020-460+100\\ =-500-\left(40+460\right)+2020+1000\\ =-500-500+1000+2020\\ =2020\)
a ) 4 7 + 1 7 + 3 7 = 8 7 b ) 4 7 + − 3 7 + − 1 2 + 1 2 = 1 7
c ) − 27 10 + − 3 10 + 1 4 + 5 4 + 13 2 = − 3 + 3 2 + 13 2 = 5 d ) 8 5 + 7 5 + − 11 4 + − 9 4 + − 7 20 = 3 − 5 + − 7 20 = − 47 20 e ) 7 5 + − 1 15 + − 11 3 + 11 2 + 1 6 + ( − 2 ) = 4 3 + 2 + ( − 2 ) = 4 3
Tính một cách hợp lí :
a) (29 -9 ) . (-9) + (-13 - 7) . 21
b) (-157) . (127 - 316) - 127 . (316 - 157)
a, \(\left(29-9\right).\left(-9\right)+\left(-13-7\right).21\)
\(=20.\left(-9\right)+\left(-20\right).21\)
\(=-180+\left(-420\right)\)
\(=-600\)
Tính một cách hợp lí :
a) (29 - 9) . (-9) + (-13 - 7) . 21
b) (-157) . (127 - 316) - 127 . (316 - 157)
a) (29 – 9). (-9) + (-13 – 7). 21
= 20. (-9) + [- (13 + 7). 21]
= 20. (-9) + (-20). 21
= (-20). 9 + (-20). 21
= (-20). (9 + 21)
= (-20). 30
= - (20. 30)
= - 600.
b) (-157). (127 – 316) – 127. (316 – 157)
= (- 157). 127 + (-157). (-316) + (–127). 316 + (-127). (-157)
= -157. 127 + 157. 316 – 127. 316 + 127. 157
= [- (127. 157) + 127. 157] + (157. 316 – 127. 316)
= 0 + 316. (157 – 127)
= 316. 30
= 9 480.
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a, 24.( 5 - 178 ) + 178 .(10 + 24)
= 24.5 - 24 .178 + 178 .10 + 178.24
= (24.5 + 178.10) -( 24.178 - 178.24)
=(120 + 1780) - 0
= 1900
b ,29.(-101)
= 29.( -100 -1)
= - 2900 - 29
= -2929
c, (-56 + 130) - (43 - 56) - (-20 - 43)
= -56 + 130 - 43 + 56 + 20 + 43
= (-56 + 56) - (43 - 43) + ( 130 + 20)
= 0 - 0 + 150
= 150
a) (−27). 1011 − 27. (−12) + 27. (−1)
= (-27). (1011 - 12 + 1)
= (-27). 1000 = -27 000
b) (−9). (−9). (−9) + 103 + 9.3
= (-9). 3 + 103 + 9.3
= 9.3 - 9.3 + 103
= 0 + 103 = 103
c) (−157). (127 − 316) − 127. (316 − 157)
= (-157). 127 - 316. (-157) - 127.316 - 127. (-157)
= (-157). 127 + 316. 157 - 127. 316 + 127.157
= (127.157 - 157.127) + (316. 157 - 127.316)
= 0 + (157 - 127). 316
= 0 + 30. 316
= 9480
Lời giải:
a.
$(-47)+316+(-111)-16-503=-47+316-111-16-503$
$=(316-16)-111-(47+503)=300-111-550=-111-(550-300)=-111-250$
$=-(111+250)=-361$
b.
$(-1460)+(-345)-(-578)+460-(-365)+(-178)$
$=-1460-345+578+460+365-178$
$=-(1460-460)+(365-345)+(578-178)$
$=-1000+20+400=-(1000-400)+20=-600+20=-(600-20)=-580$