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= 154 . 235 + 154 . (-35)
= 154 . [ 235 + (-35)]
= 154 . 200
= 30800
a, Ta có : \(\left(-2017\right).56-43.2017-2017\)
= \(\left(-2017\right)\left(56+43+1\right)\)
= \(\left(-2017\right)100=-201700\)
b, Ta có : \(\left(-2468-2468-2468-2468\right)\left(-25\right)\)
= \(2468\left(-4\right)\left(-25\right)\)
= \(2468.100=246800\)
c, Ta có : \(43\left(-27\right)+27.\left(-57\right)-200\)
= \(\left(-27\right)\left(43+57\right)-200\)
= \(\left(-27\right)100-200\)
= \(-2900\)
d, Ta có : \(63\left(137-154\right)-63\left(137-54\right)\)
= \(63\left(137-54-100\right)-63\left(137-54\right)\)
= \(63\left(137-54\right)-6300-63\left(137-54\right)\)
= \(-6300\)
a)\(=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{5\cdot6}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=\left(1-\frac{1}{6}\right)+\left(\frac{1}{2}-\frac{1}{2}\right)+...+\left(\frac{1}{5}-\frac{1}{5}\right)\)
\(=\left(1-\frac{1}{6}\right)+0+...+0=1-\frac{1}{6}=\frac{6}{6}-\frac{1}{6}=\frac{5}{6}\)
b)\(\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+\frac{3}{11\cdot14}=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}\)
\(=\left(\frac{1}{2}-\frac{1}{14}\right)+\left(\frac{1}{5}-\frac{1}{5}\right)+\left(\frac{1}{8}-\frac{1}{8}\right)+\left(\frac{1}{11}-\frac{1}{11}\right)\)
\(=\left(\frac{1}{2}-\frac{1}{14}\right)+0+...+0=\frac{1}{2}-\frac{1}{14}=\frac{7}{14}-\frac{1}{14}=\frac{6}{14}\)
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a ) 7 3 = 2 + 1 3 = 2 1 3
b ) 15 4 = 3 + 3 4 = 3 3 4
c ) − 8 3 = − 2 2 3
d ) − 23 5 = − 5 3 4
154+17+(-154)-83
=154-154+17-83
=0+17-38
=17-38
=-21
143+151+(-43)+(-251)
=(143-43)+(151-251)
=100+(-100)
=0
a) \(154+17+\left(-154\right)+83\)
\(=\left[154+\left(-154\right)\right]+\left(17+83\right)\)
\(=0+100\)
\(=100\)
b) \(143+151+\left(-43\right)+\left(-251\right)\)
\(=\left[143+\left(-43\right)\right]+\left[151+\left(-251\right)\right]\)
\(=100+\left(-100\right)\)
\(=0\)
Ta có: S = 1/10 + 1/40 + 1/88 + 1/154 + 1/238 + 1/340 + 1/460 + 1/598 + 1/754 + 1/928
=> S = 1/2.5 + 1/5.8 + 1/8.11 + ... + 1/26.29 + 1/29.32
Nhân 2 vế với 3 và áp dụng công thức tách 1 phân số thành hiệu 2 phân số: x/n.(n + x) = 1/n - 1/(n + x)
=> 3.S = 3.(1/2.5 + 1/5.8 + 1/8.11 + ... + 1/26.29 +1/29.32)
=> 3.S = 3/2.5 + 3/5.8 + 3/8.11 + ... + 3/26.29 + 3/29.32
=> 3.S = 1/2 - 1/ 5 + 1/5 - 1/8 + 1/8 - 1/11 + ... + 1/26 - 1/29 + 1/29 - 1/32
=> 3.S = 1/2 - 1/32
=> 3.S = 15/32
=> S = 5/32
@Cre: G+
S=1/2.5 + 1/5.8 + 1/8.11 + 1/11.14 + 1/14.17 + 11/17.20
S=1/3.(1/2-1/5+1/5-1/8+.......+1/17 - 1/20)
S=1/3.(1/2-1/20)
S=1/3.9/20
S=3/20
(-154) . (-235)+154.(-35)
= 154 . 200
= 30800
(-154) . (-235)+154.(-35)
= 154 . 200
= 30800