Tính
a) ( 135 − 35 ) . ( − 37 ) + 37 ( − 41 − 59 )
b) − 65 ( 87 − 17 ) − 87 ( 17 − 65 )
c) 3 ( − 2 ) − ( − 8 ) . ( − 7 ) − ( − 2 ) . ( − 5 )
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a) Ta có: \(\left(-65\right)\cdot\left(87-17\right)-87\cdot\left(17-65\right)\)
\(=-65\cdot87+65\cdot17-87\cdot17+87\cdot65\)
\(=17\left(65-87\right)=17\cdot\left(-22\right)=-374\)
b) Ta có: \(\left(135-35\right)\cdot\left(-37\right)+37\cdot\left(-42-58\right)\)
\(=\left(-100\right)\cdot37+37\cdot\left(-100\right)\)
\(=37\left(-100-100\right)=37\cdot\left(-200\right)=-7400\)
a)135-35.(-37)+37.(-42-48)=-4490
b)-65.(87-17)-87.(17-65)=-374
a) (135 - 35) . (-37) + 37 . (-42 - 58)
= 100 . 0 . (-100)
= 0
b) -65 . (87 - 17) - 87 . (17 - 65)
= -65 . 70 - 87 . (-48)
= -4550 - 135
= -4415
Answer:
Bài 1:
\(\left(135-35\right).\left(-37\right)+37.\left(-42-58\right)\)
\(=100.\left(-37\right)+37.\left(-100\right)\)
\(=\left(-3700\right)+\left(-3700\right)\)
\(=-7400\)
\(-65.\left(87-17\right)-87.\left(17-65\right)\)
\(=\left(-65\right).87-\left(-65\right).17-87.17+87.65\)
\(=-\left(-65\right).17-87.17\)
\(=17.\left(65-87\right)\)
\(=-374\)
\([3.\left(-2\right)-\left(-8\right)].\left(-7\right)-\left(-2\right).\left(-5\right)\)
\(=[\left(-6\right)+8].\left(-7\right)-\left(-2\right).\left(-5\right)\)
\(=2.\left(-7\right)-10\)
\(=-24\)
Bài 2:
\(\left(-55\right).\left(-25\right).\left(-8\right)\)
\(=\left(-55\right).[\left(-25\right).\left(-8\right)]\)
\(=\left(-55\right).200\)
\(=-11000\)
\(\left(-1\right).\left(-2\right).\left(-3\right).\left(-4\right).\left(-5\right).10\)
\(=[\left(-1\right).10].[\left(-2\right).\left(-5\right)].[\left(-3\right).\left(-4\right)]\)
\(=\left(-10\right).10.12\)
\(=-1200\)
a. 4.37.25.50.12
=(4.25).(50.12).37
=100.600.37
=2220000
\(a.\left(4.50\right).\left(25.12\right).37\)
\(=200.300.37=2220000\)
\(b.\left(46+54\right)+\left(17+83\right)\)
\(=100+100=200\)
\(c.87.\left(36+69\right)=87.105=9135\)
\(d.\left(135+65\right)+\left(360+40\right)\)
\(=200+400=600\)
\(e.\left(463+137\right)+\left(318+22\right)\)
\(=600+340=940\)
Tính bằng cách thuận tiện nhất :
a) 165 x ( 41 + 59 ) - 65 x ( 59 + 41 )
= 165 x 100 - 65 x 100
= 100 x ( 165 - 65 )
= 100 x 100
= 10000
b) 135 x ( 49 + 51 ) - 35 x ( 51 + 49 )
= 135 x 100 - 35 x 100
= 100 x ( 135 - 35 )
= 100 x 100
= 10000
c) 187 x ( 38 + 62 ) - 87 x ( 62 + 38 )
= 187 x 100 - 87 x 100
= 100 x ( 187 - 87 )
= 100 x 100
= 10000
d) 20 + 22 + 24 + ... + 100
= ( 100 + 20 ) x 40 ( *. SỐ SỐ HẠNG = (Số cuối – Số đầu) : Đơn vị khoảng cách + 1 )
= 120 x 40
= 4800
e) 35 + 37 + 39 + ... + 105
= ( 105 + 35 ) x 36
= 140 x 36
= 5040
a) ( 135 − 35 ) . ( − 37 ) + 37 ( − 41 − 59 ) = − 100.37 + 37 − 100 = 37 − 100 − 100 = 37 − 200 = − 7400.
b) − 65 ( 87 − 17 ) − 87 ( 17 − 65 ) = − 65.87 + 65.17 − 87.17 + 87.65 = 87.65 − 65.87 + 17 65 − 87 = 0 + 17. − 22 = − 374.
c) 3 ( − 2 ) − ( − 8 ) . ( − 7 ) − ( − 2 ) . ( − 5 ) = − 6 + 8 . − 7 + 2 = 2. − 7 + 2 = − 12