a) 7791+17×42+(-7791) +17×58
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7791 + 17 . 42 + (-7791) + 17 . 58
= (7791 - 7791) + 17 . (42 + 58)
= 0 + 17.100
= 1700
= [ 7791 + (-7791) ] - 17 x (58 + 42)
= 0 + 17 x 100
= 0 + 1700
= 1700
`@` `\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`
a) Ta có: \(\left(-65\right)\cdot\left(87-17\right)-87\cdot\left(17-65\right)\)
\(=-65\cdot87+65\cdot17-87\cdot17+87\cdot65\)
\(=17\left(65-87\right)=17\cdot\left(-22\right)=-374\)
b) Ta có: \(\left(135-35\right)\cdot\left(-37\right)+37\cdot\left(-42-58\right)\)
\(=\left(-100\right)\cdot37+37\cdot\left(-100\right)\)
\(=37\left(-100-100\right)=37\cdot\left(-200\right)=-7400\)
\(=\dfrac{8}{29}-\dfrac{4}{29}+\dfrac{-4}{17}+\dfrac{21}{17}-2=\dfrac{4}{29}-1=-\dfrac{25}{29}\)
a) \(36.\left(-57\right)-57.64\)
\(=36.\left(-57\right)+\left(-57\right).64=\left(-57\right).\left(36+64\right)\)
\(=\left(-57\right).100=-5700\)
b)\(32.\left(-17\right)+\left(-18\right).17-50.13\)
\(=\left(-32\right).17+\left(-18\right).17-50.13\)
\(=17.\left(-32-18\right)-50.13=17.\left(-50\right)+\left(-50\right).13\)
\(=\left(-50\right).\left(17+13\right)=\left(-50\right).30=-150\)
c)\(-\left(-35\right)+12-|-35|-42\)
\(=35+12-35-42=12-42=-30\)
d)\(\left(-15-12\right):\left(-3\right)^2+5-13.\left(-2\right)+\left(-64\right):2^3\)
\(=-27:9+5+26-64:8=-3+5+26-8=20\)
e)\(\left(135-35\right).\left(-37\right)+37.\left(-42-58\right)=100.\left(-37\right)+37.\left(-100\right)\)
\(=\left(-100\right).37+37.\left(-100\right)=\left(-100\right).\left(37+37\right)\)
\(=\left(-100\right).74=-7400\)
Chúc em học tốt!!!!!!
`7791 +17xx42+(-7791)+17xx58`
`=7791 +17xx42-7791 +17xx58`
`=17xx42 +17xx58`
`=17xx(42+58)`
`=17xx100`
`=1700`
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