Tính nhanh(hợp lý)
36 x 333 - 108 x 111
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\(\left(2+4+6+...+100\right)\left(36.333-108.111\right)=\left(2+4+6+...+100\right).\left[111\left(36.3-108\right)\right]=\left(2+4+6+...+100\right).0=0\)
(2+4+6+.......+100) (36 x 333 -108 X 111 )
=2x(1+2+3+......+50)[36x111(1x3-3x1)
=2x(1+2+3+......+50)(36x111x0)
=2x(1+2+3+......+50)x0
=0
(2 + 4 + 6 + ...+ 98 + 100) x (36 x 333 - 108 x 111)
= (2 + 4 + 6 + ...+ 98 + 100) x (36 x 3 x 111 - 108 x 111)
= (2 + 4 + 6 + ...+ 98 + 100) x ( 108 x 111 - 108 x 111)
= (2 + 4 + 6 + ...+ 98 + 100) x 0 = 0
Bài làm
1.Tính nhanh
(2+4+6+8+...+150).(36.333-108.111)
=(2+4+6+...+150).(11 988-11 988)
=(2+4+6+...+150).0
=0
=19991999.1998-19991999.1998
=0
a, (2 + 3 + 4 + ... + 150)(36.333 - 108.111)
= (2 + 3 + 4 + ... + 150)(36.3.111 - 36.3.111)
= (2 + 3 + 4 + ... + 150).0
= 0
b, 19991999.1998 - 19981999.1998
= 1998(19991999 - 19981999)
= 1998.10000
= 19980000
c, A = 1.2 + 2.3 + 3.4 + ... + 9.10
3A = 1.2.3 + 2.3.3 + 3.4.3 + ... + 9.10.3
3A = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 9.10.(11 - 8)
3A = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 9.10.11 - 8.9.10
3A = 9.10.11
3A = 990
A = 990 : 3 = 330
ta gọi (2+4+6+...+100) la a
=a x (36x33-108x111)
=a x 11988-11988
=a x 0
=0
đừng quên k cho mình nha
=> 131.( x - 37 ) = 0
=> x - 37 = 0 : 131
=> x - 37 = 0
=> x = 0 + 37
=> x = 37
131 . (x - 37) = ( 2 + 4 + 6 + ... + 100) . (36.333 - 108 .111)
=> 131 . (x - 37) = ( 2 + 4 + 6 + ... + 100) . (36.3.111 - 108 .111)
=> 131 . (x - 37) = ( 2 + 4 + 6 + ... + 100) . [111.(36.3 - 108)]
=> 131 . (x - 37) = ( 2 + 4 + 6 + ... + 100) . [111.0]
=> 131 . (x - 37) = 0
=> x - 37 = 0 . 131 = 0
=> x = 0 + 37 = 37
Vậy x = 37
Đáp án là:
a) 36*333-108*111
= 36*3*111-108*111
=108*111-108*111
=0
b) 136*68+16*272
=136*68+16*2*136
=136*68+32*136
=136*(68+32)
=136*100
=13600
a) 36*333 - 108*111
= 36*3*111 - 108*111
= 108*111 - 108*111
= 0
b) 136*68 + 16*272
= 136*68 + 16*2*136
= 136*68 + 32*136
= 136*(68 + 32)
= 136*100
= 13600
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
36x3x111-36x3x111
=0 tk mk nha
36 x 333 - 108 x 111
= ( 36 x 3 ) x ( 333 : 3 ) - 108 x 111
= 108 x 111 - 108 x 111
= 0