46×37+93×46+54×61+69×54
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![](https://rs.olm.vn/images/avt/0.png?1311)
a. -37 + 54 + (-70) + (-163) +246 = [-37 + (-163) ] + (54+246) + (-70) = -200 + 300 + (-70) =100 + (-70) =30
b. -359 + 181 + ( -123 ) + 350 + ( -172 ) ={ [(-359 + 350 ) +181] + ( -172 ) } +( -123) = [ (-9 + 181) + ( -172 ) ] +( -123)= 172 +( -172)+(-123) = 0 + (-123) = -123
c.-69 + 53 + 46 + ( -94 ) + ( -14 ) + 78 = [-69 + 53+ ( -94 ) ]+ [ 46 +( -14 ) + 78 ] = -110 + 110 = 0
![](https://rs.olm.vn/images/avt/0.png?1311)
a. -37 + 54 + -70+ -163 + 246
= ( 54 + 246) + (-37 - 163 ) - 70
= 300 -200 - 70 = 30
b. -359+ 181+ -123+ 350+ -172
=(-178)+227+(-172)
=49+(-172)
=-123
c.-69+ 53+ 46+ -94+-14+ 78
=(-16)+(-48)+64
=-64+64
=0
d. 13- 12+ 11+10- 9+ 8- 7- 6+ 5- 4+ 3+2- 1
= 13 - (13 - 1) + (13 - 2) + (13 - 3) - (13 - 4) + (13 - 5) - (13 - 6) - (13 - 7) + (13 - 8) - (13 - 9) + (13 - 10) + (13 - 11) - (13 - 12)
= 13 - 13 + 1 + 13 - 2 + 13 - 3 - 13 + 4 + 13 - 5 - 13 + 6 - 13 + 7 + 13 - 8 - 13 + 9 + 13 - 10 + 13 - 11 - 13 + 12
= (13 - 13 + 13 + 13 - 13 + 13 - 13 - 13 + 13 - 13 + 13 + 13 - 13) + (1 - 2 - 3 + 4 - 5 + 6 + 7 - 8 + 9 - 10 - 11 = 12)
= 13 + 0
= 13
a) \(-37+54+\left(-70\right)+\left(-163\right)+246\)
\(=\left(246+54\right)-\left(37+163\right)-70\)
\(=300-200-70\)
\(=100-70=30\)
b) \(-359+181+\left(-123\right)+350+\left(-172\right)\)
\(=-359+181-123+350-172\)
\(=\left(-359+350\right)+\left(181-172\right)-123\)
\(=-9+9-123\)
\(=-123\)
c) \(-69+53+46+\left(-94\right)+\left(-14\right)+78\)
\(=-69+53+46-94-14+78\)
\(=\left(-69+78\right)+\left(53-14\right)+\left(46-94\right)\)
\(=9+39-48\)
\(=48-48=0\)
d) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=\left(13-12\right)+\left(11+10\right)-\left(9-8\right)-\left(7+6\right)+\left(5-4\right)+\left(3+2-1\right)\)
\(=1+21-1-13+1+5\)
\(=21-13+1+5\)
\(=8+1+5=9+5=14\)
![](https://rs.olm.vn/images/avt/0.png?1311)
=46x ( 37+93)+54 x (61+69)
= 46 x 130 + 54 x 130
= 130 x ( 46+54)
=130 x 100
=13000
46 x 37 + 93 x 46 + 54 x 61 + 69 x 54
= 46 x ( 37 + 93 ) + 54 x ( 61 + 69 )
= 46 x 120 + 54 x 120
= 120 x ( 46 + 54 )
= 120 x 100
= 12000