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: \(=42\cdot\left(15+96+25+4\right)=42\cdot140=5880\)

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

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

\(13.(-78)+78.(-87)\)

\(=-1014+78.(-87)\)

\(=-1014+(-6786)\)

\(=-7800\)

\(13 . \left(-78\right)+78 . \left(-87\right)=\left[13+\left(-87\right)\right] . \left[\left(-78\right)+78\right]=-74 . 0=0\)

a)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

B4

a)x=10

b)x=3

c)x=11

d)x=8

1.

a. 

11 + x : 5 = 13 

x : 5 = 13 - 11

x : 5 = 2

x      = 2 . 5

x      = 10

a)=22

b)=17

c)=15

d)=37

e)=96

f)=10

99 + 87 + 99 + 13 + 99 + 45

= ( 99 + 99 + 99 ) + ( 87 + 13 ) + 45

= 297 + 100 + 45

= 397 + 45

= 442

99+87+99+13+99+45
=(99+99+99)+(87+13)+45
=297+100+45
=442