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a, 17 \(\times\) 8 + 17 \(\times\) 2
= 17 \(\times\) ( 8 + 2)
= 17 \(\times\) 10
= 170
b, 12 \(\times\) 24 - 2 \(\times\) 24
= 24 \(\times\) ( 12 - 2)
= 24 \(\times\) 10
= 240
c, 54 \(\times\) 113 + 45 \(\times\)113 + 113
= 113 \(\times\) ( 54 + 45 + 1)
= 113 \(\times\) 100
= 11300
d, 54 \(\times\) 47 - 47 \(\times\) 53 - 20 - 27
= 54 \(\times\) 47 - 47 \(\times\) 53 - 47
= 47 \(\times\) ( 54 - 53 - 1)
= 47 \(\times\) 0
= 0
e, 10000 - 47 \(\times\) 72 - 47 \(\times\) 28
= 10000 - 47 \(\times\)( 72 + 28)
= 10000 - 47 \(\times\) 100
= 10000 - 4700
= 5300
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a, 89 + 32 + 11 + 68
= (89 + 11) + (32 + 68)
= 100 + 100
= 200
b, 349 + 602 + 651 + 398
= (349 + 651) + (602 + 398)
= 1000 + 1000
= 2000
c, 115 + 122 - 55 + 18
= ( 115 - 55) + ( 122 + 18)
= 60 + 140
= 200
d, 3145 - 246 - 145 + 4246
= ( 3145 - 145) + ( 4246 - 246)
= 3000 + 4000
= 7000
e, 52 - 42 + 37 + 28 - 38 + 63
(52 - 42) - ( 38 - 28) + ( 37 + 63)
= 10 - 10 + 100
= 100
f, 1 + 3 + 5 + 7 + 13 + 15 + 17 + 19
= (1 + 19) + (3 + 17) + (5 + 15) + ( 7 + 13)
= 20 + 20 + 20 + 20
= 80
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2x3,12x1,25x0,25x10=2x3,12x(1,25:0,25x10)
=2x3,12 x50
=100x3,12=312
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12,48: 0,5 \(\times\) 6,25 \(\times\) 4 \(\times\) 2
= 12,48 \(\times\) 2 \(\times\) 2 \(\times\) (6,25 \(\times\) 4)
= 12,48 \(\times\)4 \(\times\) 25
= 12,48 \(\times\) 100
= 1248
12,48:0,5x6,25x4x2=24,96x6,25x4x2=24,96x(6,25x4x2)
=(24,96x100):2
=2496:2=1248
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\(a\times100\) + 50 + \(c\) = \(\overline{a5c}\)
\(a\times100\) + \(b\times10\) + 6 = \(\overline{ab6}\)
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Ta có 4780 = ( 22 )780 = 21560 = 2120 . 21440
Vì 21440 = ( 212 )120 = 4960120
Nên 4780 = 2120 . 4960120
Mà 14120 = ( 2 . 7 )120 = 2120 . 7120
Vậy 4780 > 14120
4780 và 14120
4780=(413)60=6710886460
14120=(142)60=19660
Vì 6710886460>19660 nên 4780>14120
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37x - 1 = 36
⇒ 7x - 1 = 6
⇒ 7x = 7
⇒ x = 1.
Vậy x = 1.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{3}{x}+\dfrac{x}{x+1}+\dfrac{x-3}{x}=\dfrac{13}{17}\left(x\ne0;x\ne-1\right)\)
\(\Rightarrow\dfrac{51\left(x+1\right)}{17x\left(x+1\right)}+\dfrac{17x^2}{17x\left(x+1\right)}+\dfrac{17\left(x-3\right)\left(x+1\right)}{17x\left(x+1\right)}=\dfrac{13x\left(x+1\right)}{17x\left(x+1\right)}\)
\(\)\(\Rightarrow51\left(x+1\right)+17x^2+17\left(x-3\right)\left(x+1\right)=13x\left(x+1\right)\)
\(\Rightarrow51x+51+17x^2+17\left(x^2-2x-3\right)=13x^2+13x\)
\(\Rightarrow34x^2-13x^2+17x-13x=0\)
\(\Rightarrow21x^2+4x=0\)
\(\Rightarrow x\left(21x+4\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\21x+4=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{4}{21}\end{matrix}\right.\)
a, (72 - 8 \(\times\)9): (20 + 21 + 23 + 24 + 25)
= (72 - 72): ( 20 + 21 + 23 + 24 + 25)
= 0: ( 20 + 21 + 23+ 24 + 25)
= 0
b, (50 \(\times\) 9 - 25 \(\times\) 18) \(\times\) ( 1 + 2 + 3 + ...+9)
= ( 450 - 450 )\(\times\) ( 1 + 2 + 3 +...+9)
= 0 \(\times\)( 1 + 2 + 3 +...+ 9)
= 0
c, ( 11 + 13 + 15 + ...+ 19) \(\times\) ( 6 \(\times\) 8 - 48)
= ( 11 + 13 + 15+...+ 19) \(\times\) ( 48 - 48)
= ( 11 + 13 + 15 + ...+ 19) \(\times\) 0
= 0
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