Tính
{7^3- [6^3- (129+ 346): 25.3 ]} 2^3
K
Khách
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XO
12 tháng 7 2019
a) 1160 : {145.[1500 : (22.53) - 194 : 97]}
= 1160 : {145.[1500 : (4.125) - 2]}
= 1160 : {145.[1500 : 500 - 2]}
= 1160 : {145.[3 - 2]}
= 1160 : 145
= 8
b) 1245 - {102 - 320 : [(794 - 111.6) : 22 ]}
= 1245 - {100 - 320 : [(794 - 666) : 22 ]}
= 1245 - {100 - 320 : [128 : 22 ]}
= 1245 - {100 - 320 : 32}
= 1245 - {100 - 10}
= 1245 - 90
= 1155
c) 912 : 322 . {53 - [(139 - 67).5] : 10}
= (32)12 : 322 . {125 - [72 . 5] : 10}
= 32.12 : 322 . {125 - 360 : 10}
= 324 : 322 . {125 - 36}
= 32 . 89
= 9.89
= 301
13 tháng 3 2020
1.
\(\left(572\cdot7+266\right)\cdot\left(366\cdot9-168\cdot18\right)\cdot\left(346\cdot6-348\right)\)
\(=\left(286\cdot7\cdot2+133\cdot2\right)\cdot\left(366\cdot9-168\cdot2\cdot9\right)\cdot\left(173\cdot6\cdot2-174\cdot2\right)\)
\(=\left(2002\cdot2+133\cdot2\right)\cdot\left(366\cdot9-336\cdot9\right)\cdot\left(1038\cdot2-174\cdot2\right)\)
\(=\left[2\cdot\left(2002+133\right)\right]\cdot\left[9\cdot\left(366-336\right)\right]\cdot\left[2\cdot\left(1038-174\right)\right]\)
\(=2\cdot2135\cdot9\cdot30\cdot2\cdot864\)
\(=4270\cdot9\cdot30\cdot2\cdot864\)
\(=\left(4270\cdot30\right)\cdot9\cdot2\cdot864\)
\(=\left(427\cdot10\right)\cdot\left(3\cdot10\right)\cdot9\cdot2\cdot864\)
\(=\left(427\cdot3\right)\cdot\left(10\cdot10\right)\cdot9\cdot2\cdot864\)
\(=1281\cdot100\cdot9\cdot2\cdot864\)
\(=\left(1281\cdot100\right)\cdot\left(9\cdot2\cdot864\right)\)
\(=\left(1281\cdot100\right)\cdot15552\)
\(=\left(1281\cdot15552\right)\cdot100\)
\(=19922112\cdot100\)
\(=1992211200\)
2.
\(\left(1+3+5+7+...+97+9\right)\cdot\left(45\cdot3-15\cdot2-45\right)\)
\(=\left(1+3+5+7+...+97+9\right)\cdot\left(15\cdot3\cdot3-15\cdot2-15\cdot3\right)\)
\(=\left(1+3+5+7+...+97+9\right)\cdot\left[15\cdot\left(3\cdot3\right)-15\cdot2-15\cdot3\right]\)
\(=\left(1+3+5+7+...+97+9\right)\cdot\left(15\cdot9-15\cdot2-15\cdot3\right)\)
\(=\left(1+3+5+7+...+97+9\right)\cdot\left[15\cdot\left(9-2-3\right)\right]\)
\(=\left(1+3+5+7+...+97+9\right)\cdot15\cdot4\)
\(=\left[\left(1+3+5+7+...+97\right)+9\right]\cdot\left(15\cdot4\right)\)
Trong \(\left(1+3+5+7+...+97\right)\) có số số hạng là:
\(\left(97-1\right)\div2+1=49\) ( số hạng )
\(\Rightarrow\left[\left(1+3+5+7+...+97\right)+9\right]\cdot\left(15\cdot4\right)\)
\(=\left[\left(97+1\right)\cdot49\div2\right]\cdot\left(15\cdot4\right)\)
\(=2401\cdot60\)
\(=\left(2401\cdot6\right)\cdot10\)
\(=14406\cdot10\)
\(=144060\)
3.
\(\left(180\div15-132\div11\right)\cdot\left(57869-297\div11\cdot108\right)\)
\(=\left(12-12\right)\cdot\left(57869-297\div11\cdot108\right)\)
\(=0\cdot\left(57869-297\div11\cdot108\right)\)
\(=0\)
13 tháng 3 2020
Sửa lại bài 2; dòng 11 ( từ đề bài bài 2 ):
\(=\left\{\left[\left(97+1\right)\cdot49\div2\right]+9\right\}\cdot\left(15\cdot4\right)\)
\(=\left(2401+9\right)\cdot\left(15\cdot4\right)\)
\(=2410\cdot\left(15\cdot4\right)\)
\(=2410\cdot60\)
\(=\left(241\cdot10\right)\cdot\left(6\cdot10\right)\)
\(=\left(241\cdot6\right)\cdot\left(10\cdot10\right)\)
\(=1446\cdot10\)
\(=14460\)
C
14 tháng 5 2022
5/6 + 7/12 = 10/12 + 7/12 = 17/12
9/16 - 3/8 = 9/16 - 6/16 = 3/16
11/10 + 3/5 : 2/3 =11/10 + 3/5 x 3/2 = 11/10 + 9/10 = 20/10 = 2
O
14 tháng 5 2022
\(\dfrac{5}{6}+\dfrac{7}{12}=\dfrac{10}{12}+\dfrac{7}{12}=\dfrac{17}{12}\)
\(\dfrac{9}{16}-\dfrac{3}{8}=\dfrac{9}{16}-\dfrac{6}{16}=\dfrac{3}{16}\)
\(\dfrac{11}{10}+\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{11}{10}+\dfrac{3}{5}\times\dfrac{3}{2}=\dfrac{11}{10}+\dfrac{9}{10}=\dfrac{20}{10}=2\)
DN
1
21 tháng 12 2020
a) Ta có: \(6^6:6^3+4^3\cdot4^3\cdot4^2\)
\(=6^3+4^8\)
\(=216+65536=65752\)
b) Ta có: (-137)+(-129)
=-137-129
=-266
c) Ta có: -84-36
=-(84+36)
=-120
d) Ta có: \(11\cdot37+63\cdot11-49\)
\(=11\cdot\left(37+63\right)-49\)
\(=11\cdot100-49\)
\(=1100-49=1051\)
e) Ta có: \(16:2^3+4:3^3-4\cdot3\)
\(=2^4:2^3+\dfrac{4}{27}-12\)
\(=2+\dfrac{4}{27}-12\)
\(=-10+\dfrac{4}{27}=\dfrac{-270}{27}+\dfrac{4}{27}=\dfrac{-266}{27}\)
NH
2