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a, 75 + 58.50 – 58.25 = 3.25 + 58.(50 – 25) = 3.25 + 58.25 = 25.(3+58) = 25.61 = 1525
Ta có: 1525 = 5 2 . 61
b, 20: 2 2 – 5 9 : 5 8 = 20:4 – 5 = 5 – 5 = 0
c, 5 19 : 5 17 - 4 : 7 = 5 2 - 4 : 7 = (25 – 4):7 = 3
d, 47 - 45 . 2 4 - 5 2 . 12 : 14 = 47 – (45.16 – 25.12):14 = 47 – (720 – 300):14 = 47 – 420:14 = 47 – 30 = 17
e, 10 2 : 60 : 5 6 : 5 4 - 3 . 5 = 100 – 60: 5 2 - 15 = 100 – 60:(25 – 15) = 100 – 60:10 = 100 – 6 = 94
Ta có: 94 = 2.47
f, 2345 - 1000 : 19 - 2 21 - 18 2 = 2345 – 1000:(19 – 2. 3 2 ) = 2345 – 1000:(19 – 2.9) = 2345 – 1000:(19 – 18) = 2345 – 1000:1 = 2345 – 1000 = 1345
Ta có: 1345 = 3.269
g, 500 – {5.[409 – 2 3 . 3 - 21 2 ]+ 10 3 }:15 = 500 – {5.[409 – 8 . 3 - 21 2 ]+1000}:15 = 500 – {5.[409 – 3 2 ]+1000}:15 = 500 – {5.(409 – 9)+1000}:15 = 500 – {5.400+1000}:15 = 500 – (2000+1000):15 = 500 – 3000:15 = 500 – 200 = 300
Ta có: 300 = 2 2 . 3 . 5 2
h, 967 – [8 + 2 . 3 2 – 24:6 + 9 - 7 3 ].5 = 967 – [8+2.9 – 4+8].5 = 967 – 30.5 = 967 – 150 = 817
Ta có: 817 = 19.43

1: \(=-\dfrac{3}{4}+3-\dfrac{1}{4}-\dfrac{5}{4}+\dfrac{9}{2}=-\dfrac{9}{4}+3+\dfrac{9}{2}=\dfrac{-9+12+18}{4}=\dfrac{21}{4}\)
2: \(=\dfrac{-5}{7}\left(\dfrac{13}{19}+\dfrac{6}{19}\right)+\dfrac{5}{7}=\dfrac{-5}{7}+\dfrac{5}{7}=0\)
3: \(=\dfrac{2}{5}\left(1-\dfrac{8}{3}-\dfrac{5}{8}\right)=\dfrac{2}{5}\cdot\dfrac{-55}{24}=\dfrac{-11}{12}\)


\(\dfrac{4}{17}=\dfrac{16}{68}\\ Vì:\dfrac{16}{68}< \dfrac{16}{63}\Rightarrow\dfrac{4}{17}< \dfrac{16}{63}\\ ---\\ \dfrac{1007}{1009}=1-\dfrac{2}{1009};\dfrac{1005}{1007}=1-\dfrac{2}{1007}\\ Vì:\dfrac{2}{1009}< \dfrac{2}{1007}\Rightarrow1-\dfrac{2}{1009}>1-\dfrac{2}{1007}\\ \Rightarrow\dfrac{1007}{1009}>\dfrac{1005}{1007}\)
a: 4/17=16/68
16/68<16/63
=>4/17<16/63
b: 19/53<20/53
20/53<20/50(Vì 53>50)
=>19/53<20/50=2/5
mà 2/5=30/75<30/73
nên 19/53<30/73
c: 1007/1009=1-2/1009
1005/1007=1-2/1007
1009>1007
=>2/1009<2/1007
=>-2/1009>-2/1007
=>1007/1009>1005/1007

73 . 35 + 27 . 19 - 20 . 73 + 81 . 27 + 85 . 73
= 73 . ( 35 - 20 + 85 ) + 27. ( 19 + 81 )
= 73 . 100 + 27. 100
= ( 73 + 27 ) . 100
= 100 . 100
= 10 000

Bài 1: Tìm x:
\(\text{a, x.(-26)+26:(-2)=(-39)}\)
\(x.\left(-26\right)+\left(-13\right)=\left(-39\right)\)
\(\Rightarrow x.\left(-26\right)=52\)
\(x=52:\left(-26\right)\)
\(x=-2\)
\(\text{b, 41.(-79)-179.(-41)}\)
\(=41.\left(-79+179\right)\)
\(=41.100\)
\(=4100\)
\(\text{c, -19.(73-219)-219.(19-73)}\)
\(=-19.73+19.219-219.19+219.73\)
\(=73.\left(-19+219\right)+19.\left(219-219\right)\)
\(=73.200+19.0\)
\(=14600\)
Bài 2:Tìm số tự nhiên x:
\(a,18⋮x+4\)
\(\Rightarrow\left(x+4\right)\inƯ\left(18\right)=\left\{\pm1;\pm2;\pm3;\pm6;\pm9;\pm18\right\}\)
Ta có bảng sau :
x+4 | 1 | -1 | 2 | -2 | 3 | -3 | 6 | -6 | 9 | -9 | 18 | -18 |
x | -1 | -5 | -2 | -6 | -1 | -7 | 2 | -10 | 5 | -13 | 14 | -22 |
Vậy \(x\in\left\{...\right\}\)
\(b,3x+4⋮x-3\)
ta có \(\frac{3x+4}{x-3}=3\left(x-3\right)+\frac{13}{x-3}\)
\(=3+\frac{13}{x-3}\)
để \(3x+4⋮x-3\Rightarrow13⋮x-3\)
=> x-3 thuộc ước của 13={1;-1;13;-13}
+x-3=1=>x=(tm)
+x-3=-1=>x=2(tm)
+x-3=-13=>x=-10(tm)
+x-3=13=>x=16(tm)
học tốt
Bài 1: Tìm x:
a, x.(-26)+26:(-2)=(-39)
x.(-26)+(-13)=-39
x.(-26)=-39+13
x.(-26)=-26
x=-26:(-26)
x=1
Vậy x=1
b, 19-|x+3|=10
|x+3|=19-10
|x+3|=9
\(\Rightarrow\orbr{\begin{cases}x+3=9\Rightarrow x=9-3=6\\x+3=-9\Rightarrow x=-9-3=-12\end{cases}}\)
Vậy x=6 hoặc x=-12
Bài 3: Tính nhanh
19.(73-219)-219.(19-73)
=19.73-19.219-219.19+219.73
=(19.73+219.73)-(19,219-219.19)
=[73.(19+219)]-0
=[73.238]-0
=17374
bằng 10