`#3107.101107`

\(45\times37+93\times45+55\times61+69\times55\)

\(=45\times\left(37+93\right)+55\times\left(61+69\right)\)

\(=45\times130+55\times130\)

\(=130\times\left(45+55\right)\)

\(=130\times100\)

\(=13000\)

\(#GNamK\)

45x37+93x45+55x61+69x55
=45x(37+93)+55x(61+69)

=45x130+55x130
=130x(45+55)

=130x100=13000

a) 28 + 55 = 83

45 + 49 = 94

37 + 53 = 90

b) 61 - 18 = 43

53 - 26 = 27

92 - 84 = 8

\(\begin{array}{*{20}{c}}{a)\,\,}\\{}\\{}\end{array}\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{28}\\{55}\end{array}}\\\hline{\,\,\,\,83}\end{array}\)                    \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{45}\\{49}\end{array}}\\\hline{\,\,\,\,94}\end{array}\)                            \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{37}\\{53}\end{array}}\\\hline{\,\,\,\,90}\end{array}\)

\(\begin{array}{*{20}{c}}{b)\,\,}\\{}\\{}\end{array}\begin{array}{*{20}{c}}{ - \begin{array}{*{20}{c}}{61}\\{18}\end{array}}\\\hline{\,\,\,43}\end{array}\)                    \(\begin{array}{*{20}{c}}{ - \begin{array}{*{20}{c}}{53}\\{26}\end{array}}\\\hline{\,\,\,27}\end{array}\)                           \(\begin{array}{*{20}{c}}{ - \begin{array}{*{20}{c}}{92}\\{84}\end{array}}\\\hline{\,\,\,08}\end{array}\)

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

\(\dfrac{51}{53}+\dfrac{55}{57}+\dfrac{61}{63}+\dfrac{69}{71}+\dfrac{79}{81}+\dfrac{91}{93}\) 

\(=\left(\dfrac{52}{53}-\dfrac{1}{53}\right)+\left(\dfrac{56}{57}-\dfrac{1}{57}\right)+\left(\dfrac{62}{63}-\dfrac{1}{63}\right)+\left(\dfrac{70}{71}-\dfrac{1}{71}\right)+\left(\dfrac{80}{81}-\dfrac{1}{81}\right)+\left(\dfrac{92}{93}-\dfrac{1}{93}\right)\)

\(=\left(1-\dfrac{1}{53}-\dfrac{1}{53}\right)+\left(1-\dfrac{1}{57}-\dfrac{1}{57}\right)+\left(1-\dfrac{1}{63}-\dfrac{1}{63}\right)+\left(1-\dfrac{1}{71}-\dfrac{1}{71}\right)+\left(1-\dfrac{1}{81}-\dfrac{1}{81}\right)+\left(1-\dfrac{1}{93}-\dfrac{1}{93}\right)\)

\(=\left(1-0\right)+\left(1-0\right)+\left(1-0\right)+\left(1-0\right)+\left(1-0\right)+\left(1-0\right)\) 

\(=1+1+1+1+1+1\) 

\(=6\)

34 < 50     47 > 45     55 < 66

78 > 69     81< 82     44 > 33

72 < 81     95 > 90     77 < 99

62 = 62     61 < 63     88 > 22

<; >; <

\(\dfrac{45}{87}< \dfrac{65}{23}\)

\(\dfrac{67}{45}>\dfrac{43}{180}\)

\(\dfrac{57}{85}< \dfrac{69}{60}\)

45/87 < 65/23

67/45  > 55/44

57/85 < 69/60

Khiếp

2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40 
= 2. 53 . 9 . 3 + 2. 3 .9 .87 - 3 .2 .9 .40
= 54.53+54.87-54.40
=54(53+87-40)
=54. 100=5400

12 . 25 + 29 . 25 + 59 . 25 
= 25 . ( 12+29+59)
=25 . 90
=2250

43 . 37 + 93 . 43 + 57 . 61 + 69 . 57 
= 43.(37+93)+57(61+69)
=43.130+57.130
=130.(43+57)
=130.100
=13 000

12 . 53 + 53 . 172 - 53 
=53(12+172-1)
=53.184
=9752

35 . 54 + 35 . 58 + 65 . 75 + 65 . 45 
=35(54+58)+65(75+45)
=35.112+65.120
=3920+7800
=11720

39 . 8 + 70 . 3 + 31 . 8 
=8(39+31)+70.3
=8.70+70.3
=70.(8+3)
=70.11
=770

2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40

= ( 2 . 27 ) . 53 + ( 6 . 9 ) . 87 - ( 3 . 18 ) . 40

= 54 . 53 + 54 . 87 - 54 . 40

= 54(53+87-40)

= 5400

12 . 25 + 29 . 25 + 59 . 25

= 25( 12 + 29 + 59 )

= 2500

43 . 37 + 93 . 43 + 57 . 61 + 69 . 57

= 43( 37 + 93 ) + 57(61 + 69 )

= 5590 + 7410

= 13000

12 . 53 + 53 . 172 - 53 

= 53( 12 + 172 ) - 53

= 9752 - 53

= 9699

35 . 54 + 35 . 58 + 65 . 75 + 65 . 45

= 35( 54 + 58 ) + 65( 75 + 45 )

= 3920 + 7800

= 11720

Bài 1:

1: =15+37+52-37-17=52-2=50

2: =38-42+14-25+27+15=62-42+29=20+29=49

Bài 1: Bỏ ngoặc rồi tính

3) (21-32) - (-12+32)=21-32-(-12)-32=21-32+12-32=-31

4) (12+21) - (23-21+10)=12+21-23+21-10=21

5) (57-725) - (605-53)=57-725-605+53=-1220

6) (55+45+15) - (15-55+45)=55+45+15-15+55-45=55+55=110

Bài 2: Tính các tổng sau một cách hợp lí

1) (-37) + 14 + 26 + 37=(-37+37)+(14+26)=0+40=40

2) (-24) +6 + 10 + 24=(-24+24)+(6+10)=0+16=16

3) 15 + 23 + (-25) + (-23)=(15-25)+(23-23)=-10+0=-10

4) 60 + 33 + (-50) + (-33)=(60-50)+(33-33)=10+0=10

5) (-16) + (-209) + (-14) + 209=(-16-14)+(-209+209)=-30+0=-30

6) (-12) + (-13) + 36 + (-11)=(-11-12-13)+36=-36+36=0

=15+37+52-37-17 =(37-37)+52+15-17 =0+52+15-17 =67-17 =50

(38 – 42 + 14) – (25 – 27 – 15) =38-42+14-25+27+15 =27 c. -(21 – 32) – (-12 + 32) =-21+32+12-32 =-9 d. -(12 + 21 – 23) - (23 – 21 + 10) =-12-21+23-23+21-10 =-22 e. (57 – 725) – (605 – 53) =57-725-605+53 =-1220 f. (55 + 45 + 15) – (15 – 55 + 45) =55+45+15-15+55-45 =110