a. 54 x 2009 + 45 x 2009 + 2009
b. 117 x (83 + 17) – 17 x (17 + 83)
c) 997 x 4 + 997 x 6
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a, 12 x 35 +35 x 182- 35 x 94
= 35 x ( 12 + 182 - 94 )
= 35 x 100
= 3500
b, 17 x 93 + 116 x 83 + 17 x 23
= 17 x ( 93 +23 ) + 116 x 83
= 17 x 116 + 116 x 83
= 116 x ( 83+17)
= 116 x 100
= 11600
a) 135 - ( x + 32 ) = 80
x + 32 = 135 - 80
x + 32 = 55
x = 55 - 32
x = 23
b)( x - 17 ) + 52 = 158
x - 17 = 158 - 52
x - 17 = 106
x = 106 + 17
x = 123
c x : 17 + 83 = 297
x : 17 = 297 - 83
x : 17 = 214
x = 214 x 17
x = 3638
d) 9052: x - 56 = 17
9052 : x = 17 + 56
9052 : x = 73
x = 9052 : 73
x = \(\frac{1004}{17}\)
`@` `\text {Ans}`
`\downarrow`
`2023 \times 14 + 2023 \times 83+97`
`= 2023 \times (14+83) + 97`
`= 2023 \times 97 + 97`
`= 196231 +97`
`= 196328`
`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`
`= 78 \times (31+24+17+22 \times 72)`
`= 78 \times (31+24+17+1584)`
`= 78 \times 1656`
`= 129168`
`371 \times 69+371 \times 14+629 \times 83`
`= 371 \times (69+14) + 629 \times 83`
`= 371 \times 83 + 629 \times 83`
`= 83 \times (371+629)`
`= 83 \times 1000`
`= 83000`
`91 \times 51+49 \times 163-49 \times 72`
`= 91 \times 51 + 49 \times (163-72)`
`= 91 \times 51+49 \times 91`
`= 91 \times (51+49)`
`= 91 \times 100`
`= 9100`
`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`
`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`
`= 9 \times 4 \times (17+81+2)`
`= 36 \times 100`
`= 3600`
`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`
`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`
`= 17 \times 100 + 3486 \times 4815`
`= 1700 + 16785090`
`= 16786790`
b) x - 17 = ( - 11 ) . ( - 5 )
x -17 = 55
x = 55 + 17
x = 72
Vậy x =...
\(\frac{\left(120+60\right)}{12}=\frac{120}{12}+\frac{60}{12}=10+5=15\)
\(78\cdot31+78\cdot17+78\cdot24+22\cdot72=78\left(31+17+24\right)+22\cdot72\)
\(=78\cdot72+22\cdot72=72\left(78+22\right)=72\cdot100=7200\)
\(997+86=997+\left(83+3\right)=\left(997+3\right)+83\)
\(=1000+83=1083\)
\(5\cdot25\cdot2\cdot37\cdot4=\left(5\cdot2\right)\cdot\left(25\cdot4\right)\cdot37\)
\(=10\cdot100\cdot37=37000\)
\(558+336+442+664=\left(558+442\right)+\left(336+664\right)\)
\(=1000+1000=2000\)
5 x 25 x 2 x 37 x 4
= ( 5 x 2 ) x ( 25 x 4 ) x 37
= 10 x 100 x 37
= 1000 x 37
= 37000
b) \(\frac{x-11}{89}+\frac{x-13}{87}+\frac{x-15}{85}+\frac{x-17}{83}=4\)
\(=>\left(\frac{x-11}{89}-1\right)+\left(\frac{x-13}{87}-1\right)+\left(\frac{x-15}{85}-1\right)+\left(\frac{x-17}{83}-1\right)=0\)
\(=>\frac{x-100}{89}+\frac{x-100}{87}+\frac{x-100}{85}+\frac{x-100}{83}=0\)
\(=>\left(x-100\right)\left(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\right)=0\)
=> x-100 =0 => x=100
Vậy nghiệm là 100
45 + 6 x 17 + 55 + 2 x 3 x 83
= 45 + 102 + 55 + 6 x 38
= 45 + 102 + 55 + 228
= 147 + 55 + 228
= 202 + 228
= 430
a) -(-35) + (-28) + 65 + (-72)
= 35 + (-28) + 65 + (-72)
= (35 + 65) + [-28 + (-72)]
= 100 + (-100)
= 0
b) 17.92 + 114.83 + 17.23 - (-83)
= 17.92 + 114.83 + 17.23 + 83 [Lên cấp 2 thì cũng nên đổi dấu nhân thành dấu chấm rồi nhé =)))]
= 17.92 + 114.83 + 17.23 + 83.1
= 17.(92+23) + 83.(114+1)
= 17.115 + 83.115
= (17+83).115
= 100.115
= 11500
c) |-19| + [(-19) + |71| + 43] - (43 - 29 - 13)
= 19 + [(-19) + 71 + 43] - 43 + 29 + 13 (Quy tắc phá ngoặc)
= 19 + [52 + 43] - 43 + 29 + 13
= 19 + 95 - 43 + 29 + 13
= 114 - 43 + 29 + 13
= 71 + 29 + 13
= 100 + 13
= 113
d) 2029 - {[39 - (22.3 -21)2] : 3 + 20180}
= 2029 - {[39 - (4.3 -21)2] : 3 + 1} (ao = 1)
= 2029 - {[39 - (12 -21)2] : 3 + 1}
= 2029 - {[39 - (-9)2] : 3 + 1}
= 2029 - {[39 - 81] : 3 + 1}
= 2029 - {[-42] : 3 + 1}
= 2029 - {-14 + 1}
= 2029 - {-13}
= 2029 + 13
= 2042
a) 54 x 2009 + 45 x 2009 + 2009
= 54 x 2009 + 45 x 2009 + 2009 x 1
= 2009 x ( 54 + 45 + 1)
= 2009 x 100
= 200900
b) 117 x ( 83 + 17 ) - 17 x ( 17 + 83)
= 117 x 100 - 17 x 100
= 100 x ( 117 - 17 )
= 100 x 100
= 10000
c) 997 x 4 + 997 x 6
= 997 x ( 6 + 4 )
= 997 x 10
= 9970
_HT_