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5: \(=42\cdot\left(15+96+25+4\right)=42\cdot140=5880\)
6: \(=45\left(13+78+87+22\right)=45\cdot200=9000\)
7)
53.(51+4)+53.(49+96)+53
=53.55+53.145+53
=53.(55+145+1)
=53.201
=10653
8)
42.(15+96)+6.(25+4).7
=42.111+(6.7).29
=42.111+42.29
=42.(111+29)
=42.140
=5880
9)
45.(13+78)+9.(87+22).5
=45.91+(9.5).109
=45.91+45.109
=45.(91+109)
=45.200
=9000
10)
16.(27+75)+8.(53+25).2
=16.102+(8.2).78
=16.102+16.78
=16.(102+78)
=16.180
=2880
7)
53.(51+4)+53.(49+96)+53
=53.55+53.145+53
=53.(55+145+1)
=53.201
=10653
8)
42.(15+96)+6.(25+4).7
=42.111+(6.7).29
=42.111+42.29
=42.(111+29)
=42.140
=5880
9)
45.(13+78)+9.(87+22).5
=45.91+(9.5).109
=45.91+45.109
=45.(91+109)
=45.200
=9000
10)
16.(27+75)+8.(53+25).2
=16.102+(8.2).78
=16.102+16.78
=16.(102+78)
=16.180
=2880
1)
\(45\left(13+78\right)+9\left(87+22\right)5\)
\(=45\left(13+78\right)+45\left(87+22\right)\)
\(=45\left(13+78+87+22\right)\)
\(=45\left[\left(87+13\right)+\left(78+22\right)\right]\)
\(=45\left[100+100\right]\)
\(=45.200\)
\(=9000\)
2)
\(43+37+93.43+57.61+69.57\)
\(=43\left(37+93\right)+57.\left(61+69\right)\)
\(=43.130+57.130\)
\(=130\left(43+57\right)\)
\(=130.100\)
=13000
5) 24*(15+49)+12*(50+42)
=24*64+12*92
=24*64+12*2*46
=24*64+24*46
=24*(64+46)
=24*110
=2640
1.
a.
11 + x : 5 = 13
x : 5 = 13 - 11
x : 5 = 2
x = 2 . 5
x = 10
a)45.(13+78)+9.(87+22).5
=45.91+(9.5).109
=45.91+45.109
=45.(91+109)
=45.200
=9000
b) 16.(27+75)+8.(53+25).2
=16.102+(8.2).78
=16.102+16.78
=16.(102+78)
=16.180
=2880
\(13.(-78)+78.(-87)\)
\(=-1014+78.(-87)\)
\(=-1014+(-6786)\)
\(=-7800\)
\(13 . \left(-78\right)+78 . \left(-87\right)=\left[13+\left(-87\right)\right] . \left[\left(-78\right)+78\right]=-74 . 0=0\)
a, \(120\cdot15+12\cdot470+12\cdot38\cdot10\)
\(=12\cdot10\cdot15+12\cdot47\cdot10+12\cdot38\cdot10\)
\(=120\left(15+47+38\right)=120\cdot100=12000\)
f,\(\left(2+4+6+...+100\right)\cdot\left(36\cdot333-111\cdot108\right)\)
\(=\left(2+4+6+...+100\right)\cdot\left(36\cdot111\cdot3-111\cdot108\right)\)
\(=\left(2+4+6+...+100\right)\cdot111\cdot\left(36\cdot3-108\right)\)
\(=\left(2+4+6+...+100\right)\cdot111\cdot\left(108-108\right)\)
\(=\left(2+4+6+...+100\right)\cdot111\cdot0=0\)
a)
120.15+12.470+12.38.10
=120.15+120.47+120.38=120(15+47+38)=120.100=12000
b)
13.58.4+32.26.2+52.10
=52.58+52.26+52.10=52.(58+26+10)=52.100=5200
c)
3,2.990+32=32.99+32=32.(99+1)=32.100=3200
d)
45.(13+78)+9.(87+22).5
=45.91+45.109=45.(91+109)=45.200=9000
e)
(24+72+36+60):12=12.(2+6+3+5):12=16
f)(2+4+6+...+100)(36.333−108.111)
=(2+4+6+...+100)(36.3.111−36.3.111)=(2+4+6+...+100).0=0
\(42.13-22.5+42.7-15.22\)
\(=42.\left(13+7\right)-22.\left(5+16\right)\)
\(=\left(42-22\right).20\)
\(=20.20\)
\(=400\)
42x(13+78)+9x(87+22)x5
= 42 x 92 + 9 x 109 x 5
= 3864 + 981 x 5
= 3864 + 4905
= 8769
\(42\times\left(13+78\right)+9\times\left(87+22\right)\times5\)
\(=42\times\left(13+87\right)+9\times\left(78+22\right)\times5\)
\(=42\times100+9\times100\times5\)
\(=42\times100+45\times100\)
\(= \left(42+45\right)\times100\)
\(=87\times100\)
\(=8700\)