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1: =-3x5+2x5-7x5+7x4=-8x5+7x4=-40+28=-12
2: =-3x5+3x6-4x3+4x2=-9+8=-1
3: =17(-84-16)=-1700
4: =1975(-115+15)=-197500
5: =-145x13+145x57+57x10-57x145=-1315
1/ \(5\left(-3+2\right)-7\left(5-4\right)\)
\(=5.\left(-3\right)+5.2-7.5-7.\left(-4\right)\)
\(=-15+10-35+28\)
\(=-5-7\)
\(=-12\)
2/ \(3.\left(-5+6\right)-4.\left(3-2\right)\)
\(=3.\left(-5\right)+3.6-4.3-4.\left(-2\right)\)
\(=-15+18-12+8\)
\(=3-4\)
\(=-1\)
3/ \(17.\left(-84\right)+17.\left(-16\right)\)
\(=17.\left(-84-16\right)\)
\(=17.\left(-100\right)\)
\(=-1700\)
4/ \(1975.\left(-115\right)+1975.15\)
\(=1975.\left(-115+15\right)\)
\(=1975.\left(-100\right)\)
\(=-197500\)
5/ \(-145.\left(13-57\right)+57.\left(10-145\right)\)
\(=-145.13-145.\left(-57\right)+57.10+57.\left(-145\right)\)
\(=-145.\left(-57+57\right)-145.13+57.10\)
\(=0-1885+570\)
\(=-1315\)
6/ \(157.17-157.7\)
\(=157.\left(17-7\right)\)
\(=157.10\)
\(=1570\)
7/ \(199.\left(15-17\right)-199.\left(-17+5\right)\)
\(=199.\left(-2\right)-199.\left(-12\right)\)
\(=199.\left(-2\right)+199.12\)
\(=199.\left(-2+12\right)\)
\(=199.10\)
\(=1990\)
8/ \(-39.\left(5-99\right)+99.\left(10-39\right)\)
\(=-39.5-39.\left(-99\right)+99.10+99.\left(-39\right)\)
\(=-39.\left(-99+99\right)-39.5+99.10\)
\(=0-195+990\)
\(=795\)
9/ \(-38.\left(25-4\right)+25.\left(-4+38\right)\)
\(=-38.25-38.\left(-4\right)+25.\left(-4\right)+25.38\)
\(=25.\left(-38+38\right)-4.\left(-38+25\right)\)
\(=0-4.\left(-13\right)\)
\(=52\)
10/ \(\left(-37\right).86+37.76\)
\(=37.\left(-86\right)+37.76\)
\(=37.\left(-86+76\right)\)
\(=37.\left(-10\right)\)
\(=-370\)
17.4 = 17.(2.2) = (17.2).2 = 34.2 = 68
25.28 = 25.(4.7) = (25.4).7 = 100.7 = 700
13.12 = 13.(10+2) = 13.10 + 13.2
= 130 + 26 = 156
53.11= 53.(10+1) = 53.10 + 53.1
= 530 + 53 = 583
39.101 = 39.(100+1) = 39.100 + 39.1
= 3900 + 39 = 3939
157*(17-7)=......
(-37)*86 - (-37)*76=(-37)*(86-76)=.......
1975*(-115+15)=....
199*[(15-17)-(-17+5)]=........
17*[-84+(-16)]=.......
a. 17.4
= 17.2.2
= 34.2
= 68
25.28
= 25.4.7
= 100.7
= 700
b. 8.19
= 8.(10+9)
= 8.10+8.9
= 80+72
= 152
65.98
= 65.(100-2)
= 65.100-65.2
= 6500-130
= 6370
Tính nhẩm bằng cách :
a) Áp dụng tính chất kết hợp của phép nhân :
\(17\cdot4=17\cdot2\cdot2\) \(25\cdot28=25\cdot4\cdot7\)
\(=34\cdot2\) \(=100\cdot7\)
\(=68\) \(=700\)
b) Áp dụng tính chất phân phối của phép nhân đối với phép cộng :
\(8\cdot19=8\cdot\left(10+9\right)\) \(65\cdot98=65\cdot\left(100-2\right)\)
\(=8\cdot10+8\cdot9\) \(=65\cdot100-65\cdot2\)
\(=80+72\) \(=6500-130\)
\(=152\) \(=6370\)
a ) 17 x 4 = ( 15 + 2 ) x 4 = 15 x 4 + 2 x 4 = 60 + 8 = 68
25 x 28 = 25 x ( 20 + 8 ) = 25 x 20 + 25 x 8 = 500 + 200 = 700
b ) 13 x 12 = 13 x ( 10 + 2 ) = 13 x 10 + 13 x 2 = 130 + 26 = 156
53 x 11 = 53 x ( 10 + 1 ) = 53 x 10 + 53 x 1 = 530 + 53 = 583
39 x 101 = 39 x ( 100 + 1 ) = 39 x 100 + 39 x 1 = 3900 + 39 = 3939
a) Ta có:
\(17\times4=\left(15+2\right)\times4=15\times4+2\times4=60+8=68\)
\(25\times28=25\times\left(20+8\right)=25\times20+25\times8=500+200=700\)
b) Ta có:
\(13\times12=13\times\left(10+2\right)=13\times10+13\times2=130+26=156\)
\(53\times11=53\times\left(10+1\right)=53\times10+53\times1=530+53=583\)
\(39\times101=39\times\left(100+1\right)=39\times100+39\times1=3900+39=3939\)
a)= \(2^3\left(17-14\right)\)
\(=8.3\)
\(=24\)
b)\(=17\left(85+15\right)-120\)
\(=17.100-120\)
\(=1700-120\)
\(=1580\)
c)\(=\left(25.4\right).\left(125.8\right).\left(2.5\right)\)
\(=100.1000.10\)
\(=1000000\)
d)\(=24.53+24.87-24.40\)
\(=24\left(53+87-40\right)\)
\(=24.100\)
\(=2400\)
e)\(=5.7.77-7.60-7.7.25-15.6.7\)
\(=7\left(5.77-60-7.25-15.6\right)\)
\(=7\left(385-60-175-90\right)\)
\(=7.60\)
\(=420\)