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a)(44x52x60):(11x13x15) =(44:11)x(52:13)x(60:15)=4x4x4 =64
\(a.\)
\(\left(44.52.60\right):\left(11.13.15\right)=\frac{44.52.60}{11.13.15}\frac{4.4.4\left(11.13.15\right)}{\left(11.13.15\right)}=4^3=64\)
\(1\times\left(1+1\right)+2\times\left(2+1\right)+3\times\left(3+1\right)\)
\(=1\times2+2\times3+3\times4\)
\(=2+6+12\)
\(=20\)
\(a=215\times62+42-52\times215\)
\(a=215\times\left(62-52\right)+42\)
\(a=215\times10+42\)
\(a=2150+42\)
\(a=2192\)
\(b=14\times29+14\times71+\left(1+2+3+...+99\right)\times\left(199199\times198-198198\times199\right)\)
\(b=14\times\left(29+71\right)+\left(1+2+3+...+99\right)\times\left(199\times1001\times198-198\times1001\times199\right)\)
\(b=14\times100+0\)
\(b=1400\)
1: Quá dễ
1 . (1 + 1) + 2 . (2 + 1) + 3 . (3 + 1)
= 1 . 2 + 2 . 3 + 3 . 4
= 2 + 6 + 12
= 20
2:
a = 215 . 62 + 42 - 52 . 215
= 215 . (62 - 52) + 42
= 215 . 10 + 42
= 2150 + 42
= 2192
b = 14 . 29 + 14 . 71 + (1 + 2 + 3 + ... + 99) . (199199 . 198 - 198198 . 199)
= 14 . (29 + 71) + (1 + 2 + 3 + ... + 99) . (199 . 1001 . 198 - 198 . 1001 . 199)
= 14 . 100 + (1 + 2 + 3 + ... + 99) . 0
= 1400 + 0 = 1400
A. x = 2
B. \(\dfrac{3}{8}=\dfrac{6}{x}\)\(\Leftrightarrow x=\dfrac{6.8}{3}=16\)
C. x = 3
D. \(x=\dfrac{4.6}{8}=3\)
E. \(x=\dfrac{7}{3}\)
G.\(\dfrac{14}{13}=\dfrac{28}{10-x}\)
<=>\(14\left(10-x\right)=364\)
<=> 10 - x = 26
<=> x = -16
H. \(3\left(x+2\right)=4\left(x-5\right)\)
<=> 3x + 6 = 4x - 20
<=> -x = -26
<=> x = 26
K. \(\dfrac{x}{2}=\dfrac{8}{x}\)
<=> \(x^2=16\)
<=> \(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)
M. \(\left(x-2\right)^2=100\)
<=> \(\left[{}\begin{matrix}x-2=10\\x-2=-10\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-8\end{matrix}\right.\)
a=2
b=16
c=3
d=3
mik chỉ biết thế này thôi(ko chắc đúng=3)
b) 35 x 24 + 35 x 76 +55 x 19 +55 x 91
= 35 x ( 24 + 76 ) + 55 x ( 19 + 91 )
= 35 x100 +55 x 100
= 100 x ( 55 + 35 )
= 90 x 100 =9 000
c) \(6\cdot25\cdot4+4\cdot19\cdot6-2\cdot14\cdot12\)
\(=24\cdot25+24\cdot19-24\cdot14\)
\(=24\left(25+19-14\right)\)
\(=24\cdot30=720\)
d) \(19\cdot64+76\cdot34\)
\(=76\cdot19+76\cdot34\)
\(=76\left(19+34\right)=76\cdot53=4028\)
a) 2 x 16 x 50 x 25
= ( 2 x 50 ) x ( 16 x 25 )
= 100 x 400
= 40 000
a. 19.64 + 76.34 = 19.64 + 19.4.34 = 19.64 + 19.136 = 19.(136 + 64) = 19.200 = 3800
b. 35.12 + 65.13 = 35.12 + 65.(12 + 1) = 35.12 + 35.12 + 65 = (35 + 65).12 + 65 = 1200 + 65 = 1265
c. 136.68 + 16.272 = 136.68 + 16.136.2 = 136.68 + 136.32 = 136.(68 + 32) = 136.100 = 13600
d. (2 + 4 + 6 + ... + 100) x (36 x 333 - 108 x 111) = (2 + 4 + 6 + ... + 100) x 0 = 0
e. 19991999 x 1998 - 19981998 x 1999 = 1999 x 10001 x 1998 - 1998 x 10001 x 1999 = 0
a) 19 .64 + 76.34
= 19.64 + 19.4.34
= 19(64 + 4.34)
= 19.200 = 3800
b) 35.12 + 65.13
= 35.12 + 65.12 + 65
= 12(35 + 65) + 65
= 12.100 + 65 = 1265
c) 136.68 + 16.272
= 136.68 + 16.2.136
= 136(68 + 16.2)
= 136.100= 13600
d) ( 2 + 4 + 6 + ...... + 100 ).( 36 x 333 - 108 x 111 )
= ( 2 + 4 + 6 + ...... + 100 ).(36.3.111 - 108.1110
= ( 2 + 4 + 6 + ...... + 100 ).(108.111 - 108.111)
= ( 2 + 4 + 6 + ...... + 100 ).0 = 0
e ) 19991999 x 1998 - 19981998 x 1999
= 1999.10001.1998 - 1998.10001.1999 = 0
a) 19 x 64 + 76 x 34
= 19 x 64 + 19 x 136
= 19.(64 + 136)
= 19 . 200
= 3800
a) 19 x 64 + 76 x 34
= 19 x 64 + 19 x 136
= 19.(64 + 136)
= 19 . 200
= 3800
a) 19 x 64 + 76 x 34 = 19 x 64 + 19 x 4 x 34 = 19 x (64 + 4 x 34) = 19 x 200 = 3800
b) 35 x 12 + 65 x 13 = 35 x 12 + 65 x 12 + 65 = 12 x (35 + 65) + 65 = 12 x 100 + 65 = 1265
c) 136 x 68 + 16 x 272 = 136 x 68 + 16 x 2 x 136 = 136 x (68 + 16 x 2) = 136 x 100 = 13600
1)
a)
\(19\cdot64+76\cdot3\\ =\left(19\cdot60+19\cdot4\right)+\left(76\cdot30+76\cdot4\right)\\ =1216+2584=3800\)
b)
\(35\cdot12+65\cdot13\\ =\left(35\cdot10+35\cdot2\right)+\left(65\cdot10+65\cdot3\right)\\ =420+845=1265\)
c)
\(27\cdot27-25\cdot29\\ =\left(27\cdot30-27\cdot3\right)-\left(25\cdot30-25\right)\\ =729-725=4\)
a có thể giúp e câu 2 và 3 nữa k ạ?