125 x 40 + 25 x 152 + 25 x 80
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Bài 1
a) \(5\times72\times10\times2=\left(5\times2\times10\right)\times72=100\times72=7200\)
b) \(40\times125=5\times\left(8\times125\right)=5\times1000=5000\)
c) \(16\times6\times25=4\times4\times6\times25=\left(4\times6\right)\times\left(4\times25\right)=24\times100=2400\) Bài 2:
a) \(24\times57+43\times24=24\times\left(57+43\right)=24\times100=2400\)
b) \(12\times19+80\times12+12=12\times\left(19+80+1\right)=12\times100=1200\)
c) \(\left(36\times15\times169\right)\div\left(5\times18\times13\right)\)
\(=\left(18\times2\times3\times5\times13\times13\right)\div\left(5\times18\times13\right)\)
\(=\left(2\times3\times13\right)\times\left(18\times5\times13\right)\div\left(5\times18\times13\right)\)
\(=2\times3\times13\)
\(=78\)
d) \(\left(44\times52\times60\right)\div\left(11\times13\times15\right)\)
\(=\left(4\times11\times4\times13\times4\times15\right)\div\left(11\times13\times15\right)\)
\(=\left(4\times4\times4\right)\times\left(11\times13\times15\right)\div\left(11\times13\times15\right)\)
\(=4\times4\times4\)
\(=64\)
Bài 3:
a) \(x-280\div35=5\times54\)
\(x-8=270\)
\(x=270+8\)
\(x=278\)
b) \(\left(x-280\right)\div35=54\div4\)
\(\left(x-280\right)\div35=\dfrac{27}{2}\)
\(x-280=\dfrac{27}{2}\times35\)
\(x-280=\dfrac{945}{2}\)
\(x=\dfrac{945}{2}+280\)
\(x=\dfrac{1505}{2}\)
c) \(\left(x-128+20\right)\div192=0\)
\(x-128+20=0\times192\)
\(x-128+20=0\)
\(x-128=0-20\)
\(x-128=-20\)
\(x=-20+128\)
\(x=108\)
d) \(4\times\left(x+200\right)=460+85\times4\)
\(4\times\left(x+200\right)=460+340\)
\(4\times\left(x+200\right)=800\)
\(x+200=800\div4\)
\(x+200=200\)
\(x=200-200\)
\(x=0\)
Bài 4:
a) \(\dfrac{7}{12}-\dfrac{5}{12}=\dfrac{2}{12}=\dfrac{1}{6}\)
b) \(\dfrac{8}{11}+\dfrac{19}{11}=\dfrac{27}{11}\)
c) \(\dfrac{3}{8}+\dfrac{5}{12}=\dfrac{9}{24}+\dfrac{10}{24}=\dfrac{19}{24}\)
d) \(\dfrac{3}{4}+\dfrac{7}{12}=\dfrac{9}{12}+\dfrac{7}{12}=\dfrac{16}{12}=\dfrac{4}{3}\)
Bài 5:
a) \(x-\dfrac{6}{7}=\dfrac{5}{2}\)
\(x=\dfrac{5}{2}+\dfrac{6}{7}\)
\(x=\dfrac{47}{14}\)
b) \(\dfrac{12}{7}\div x+\dfrac{2}{3}=\dfrac{7}{5}\)
\(\dfrac{12}{7}\div x=\dfrac{7}{5}-\dfrac{2}{3}\)
\(\dfrac{12}{7}\div x=\dfrac{11}{15}\)
\(x=\dfrac{12}{7}\div\dfrac{11}{15}\)
\(x=\dfrac{180}{77}\)
\(\dfrac{31}{48}\times\dfrac{32}{93}\)
\(=\dfrac{31\times32}{48\times93}\)
\(=\dfrac{1\times2}{3\times3}\)
\(=\dfrac{2}{9}\)
============
\(\dfrac{77}{80}\times\dfrac{48}{49}\)
\(=\dfrac{77\times48}{80\times49}\)
\(=\dfrac{11\times3}{5\times7}\)
\(=\dfrac{33}{35}\)
=============
\(\dfrac{154}{125}\times\dfrac{25}{44}\)
\(=\dfrac{154}{125}\times\dfrac{25}{44}\)
\(=\dfrac{7\times1}{5\times2}\)
\(=\dfrac{7}{10}\)
`@` `\text {Ans}`
`\downarrow`
`1,`
`a)`
`5 \times 72 \times 10 \times 2`
`= 5 \times 2 \times 10 \times 72`
`= 10 \times 10 \times 72`
`= 100 \times 72`
`= 7200`
`b)`
`40 \times 125`
`= 4 \times 10 \times 25 \times 5`
`= (5 \times 10) \times (4 \times 25)`
`= 50 \times 100`
`= 5000`
`c)`
`4 \times 2021 \times 25`
`= (4 \times 25) \times 2021`
`= 100 \times 2021`
`= 202100`
`d)`
`16 \times 6 \times 25`
`= 4 \times 4 \times 6 \times 25`
`= (4 \times 25) \times 4 \times 6`
`= 100 \times 24`
`= 2400`
`2,`
`a)`
`24 \times 57 + 43 \times 24`
`= 24 \times (57+43)`
`= 24 \times 100`
`= 2400`
`b)`
`12 \times 19 + 80 \times 12 +12`
`= 12 \times (19 + 80 + 1)`
`= 12 \times 100`
`= 1200`
`c)`
`(36 \times 15 \times 169) \div (5 \times 18 \times 13)`
`= 36 \times 15 \times 169 \div 5 \div 18 \div 13`
`= 6 \times 6 \times 3 \times 5 \times 13 \times 13 \div 5 \div 3 \times 6 \div 13`
`= (6 \div 6) \times (3 \div 3) \times (5 \div 5) \times (13 \div 13) \times 6 \times 13`
`= 6 \times 13`
`= 78`
`d)`
`(44 \times 52 \times 60) \div ( 11 \times 13 \times 15)`
`= 44 \times 52 \times 60 \div 11 \div 13 \div 15`
`= 4 \times 11 \times 13 \times 4 \times 15 \times 4 \div 11 \div 13 \div 15`
`= (11 \div 11) \times (13 \div 13) \times (15 \div 15) \times 4 \times 4 \times`
`= 4 \times 4 \times 4`
`= 64`
`3,`
`a)`
`x - 280 \div 35 = 5 \times 54`
`x - 8 = 270`
`x = 270 + 8`
`x = 278`
`b)`
`(x - 280) \div 35 = 54 \div 4`
`(x - 280) \div 35 = 13,5`
`x - 280 = 13,5 \times 35`
`x - 280 = 472,5`
`x = 472,5 + 280`
`x = 752,5`
`c)`
`(x - 128 + 20) \div 192 = 0`
`x - 128 + 20 = 0 \times 192`
`x - 128 + 20 = 0`
`x - 108 = 0`
`x = 0 + 108`
`x = 108`
`d)`
`4 \times (x + 200) = 460 + 85 \times 4`
`4 \times (x+200) = 460 + 340`
`4 \times (x+200) = 800`
`x + 200 = 800 \div 4`
`x + 200 = 200`
`x = 200 - 200`
`x = 0`
`4,`
`a)`
`7/12 - 5/12`
`= (7 - 5)/12`
`= 2/12`
`= 1/6`
`b)`
`8/11 + 19/11`
`= (8+19)/11`
`= 27/11`
`c)`
`3/8 + 5/12`
`= 9/24 + 10/24`
`= 19/24`
`d)`
`3/4 + 7/12`
`= 9/12 + 7/12`
`= 16/12`
`= 4/3`
`5,`
`a)`
`x - 6/7 = 5/2`
`x = 5/2 + 6/7`
`x = 47/14`
`b)`
`12/7 \div x + 2/3 = 7/5`
`12/7 \div x = 7/5 - 2/3`
`12/7 \div x = 11/15`
`x = 12/7 \div 11/15`
`x = 180/77`
`@` `\text {Kaizuu lv uuu}`
25 - (20 - 10)=15
80 - (30 + 25)=25
125 + (13 + 7)=145
416 - (25 - 21)=412
(65 + 15) x 2=160
46 : (6 : 3)=23
(74 - 14) : 2=30
81 : (3 x 3)=9
123 x (42 - 40)=246
(100 + 11) x 9=999
72 : (2 x 4)=9
64 : (8 : 4)=32
a, ( 75 x 56 ) : 15 1175 : 25 + 1325: 25 + 466 x 25
= (75: 15) x 56 = ( 1175 + 1325) : 25 + 466 x 25
= 3 x 56 = 2500 : 25 + 466 x25
= 168 = 100 + 466 x 25
b, ( 80 x125 x10) : 25 = 25 x 4 + 466 x 25
= ( 80 x 10) x ( 125:25) = 25 x ( 4 + 466)
= 800 x 5 = 25 x 470
= 4 000 = 11750
d, ( 750 x 360 x 55) : ( 15 x 12 x 110)
= ( 75 x 360 x 550 ) : ( 15 x 12 x 110)
= (75 : 15 ) x ( 360 : 12) x ( 550 : 110)
= 5 x 30 x 5
= 25 x 30
= 750
a) (75 x 56) : 15
= 4200 : 15
= 280
b) (80 x 125 x 10) : 25
= 100 000 : 25
= 4000
c) 1175 : 25 + 1325 : 25 + 466 x 25
= (1175 : 25) + (1325 : 25) + (466 x 25)
= 47 + 53 + 11 650
= 11 750
d) (750 x 360 x 55) : (15 x 12 x 110)
= 14 850 000 : 19 800
= 750
`5 xx 74 xx 2 = 5xx 2 xx 74 = 10xx74 = 740`
`4xx196xx5 = 4xx5xx196 = 20xx196 = 3920`
`(50 + 25)xx4 = 50xx4 + 25xx4 = 200 + 100 = 300`
`125xx(80+8) = 125xx80 + 125xx8 = 10000 + 1000 = 11000`
a) 315 + 2x = x+115
<=> 2x-x = 115-315
<=> x = -200
Vậy x= -200
b) 25-(30-x)=25-(-12+125)
<=> 25-30+x = -88
<=> -5 + x =-88
<=> x = -83
Vậy x=-83
125 x 26 x 8 + 24 x 25 x 40 - 2000
= ( 125 x 8 ) x 26 + 24 x ( 25 x 40 ) - 2000
= 1000 x 26 + 24 x 1000 - 2000
= 1000 x ( 26 + 24 ) - 2000
= 1000 x 50 - 2000
= 50000 - 2000
= 48000
Học tốt nhé bạn ~