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1.= 574.499+3
=(574)499.573
= .....1499.B3
= A1.B3
=......3
Cau kia van dung ma lam
( -37 ) + 14 + 26 + 37 = [ ( -37 ) + 37 ] + ( 14 + 26 ) = 0 + 40 = 40
1. ( -24 ) + 6 + 10 + 24 = [ ( -24 ) + 24 ] + ( 6 + 10 ) = 0 + 16 = 16
2. 15 + 23 + ( -25 ) + ( -23 ) = [ 15 + ( -25 ) ] + [ 23 + ( -23 ) = ( -10 ) + 0 = -10
3. 60 + 33 + ( -50 ) + ( -33 ) = [ 60 + ( -50 ) ] + [ 33 + ( -33 ) ] = 10 + 0 = 10
4. ( -16 ) + ( -209 ) + ( -14 ) + 209 = [ ( -16 ) + ( -24 ) ] + [ ( -209 ) + 209 ] - ( -40 ) + 0 = -40
5.( -12 ) + ( -13 ) + 36 + ( -11 ) = [ ( -12 ) + ( -13 ) + ( -11 ) ] + 36 = ( -36 ) + 36 = 0
6. ( -16 ) + 24 + 16 - 34 = [ ( -16 ) + 16 ] + ( 24 - 34 ) = 0 + ( - 10 ) = -10
7. 25 + 37 - 48 - 25 - 37 = ( 25 - 25 ) + ( 37 - 37 ) - 48 = 0 + 0 - 48 = -48
8. 2575 + 37 - 2576 - 29 = ( 2575 - 2576 ) + ( 37 - 29 ) = ( -1 ) + 8 = 7
34 + 35 + 36 - 14 - 15 - 16 - 17 = ( 34 - 14 ) + ( 35 - 15 ) + ( 36 - 16 ) - 17 = 20 + 20 + 20 - 17 = 60 - 17 = 43
OK
- (-37)+14+26+37 = (-37+37)+(14+26)
= 0+ ( 14+26)
= 0+ 40 = 40
*1.) (-24)+6+10+24 = (-24+24)+(6+10)
= 0+ 16 = 16
2.) 15+23+(-25)+(-23) = (23+-23)+(15+-25)
= 0 + -10 = -10
3.) 60+33+(-50)+(-33) = (33+-33)+(60+(-50)
= 0+ 10 = 10
4.) (-16)+(-209)+(-14)+209 = (-209+209)+(-16+-14)
= 0+ -30 = -30
5.) (-12) +(-13)+36+(-11) = (-12+-13+-11)+36
= -36 + 36 = 0
6.) -16 +24 +16-34 = (-16+16)+(24-34)
= 0+ -10 = -10
8.) 2575 +37-2575-29 =(2575-2575)+(37 -29)
= 0 + 8 = 8
- 34 +35+36+37 -14-15-16-17
= (34-14)+(35-15)+(36-16)+(37-17)
= 10+10+10+10
= 10 . 4 = 40
a: \(B=3^1+3^2+...+3^{2010}\)
\(=3\left(1+3\right)+3^3\left(1+3\right)+...+3^{2009}\left(1+3\right)\)
\(=4\left(3+3^3+...+3^{2009}\right)⋮4\)
\(B=3\left(1+3+3^2\right)+...+3^{2008}\left(1+3+3^2\right)\)
\(=13\left(3+...+3^{2008}\right)⋮13\)
b: \(C=5^1+5^2+...+5^{2010}\)
\(=5\left(1+5\right)+...+5^{2009}\left(1+5\right)\)
\(=6\left(5+...+5^{2009}\right)⋮6\)
\(C=5\left(1+5+5^2\right)+...+5^{2008}\left(1+5+5^2\right)\)
\(=31\left(5+...+5^{2008}\right)⋮31\)
c: \(D=7\left(1+7\right)+...+7^{2009}\left(1+7\right)\)
\(=8\left(7+...+7^{2009}\right)⋮8\)
\(D=7\left(1+7+7^2\right)+...+7^{2008}\left(1+7+7^2\right)\)
\(=57\left(7+...+7^{2008}\right)⋮57\)
1.
\(\overline{aabb}=11\overline{a0b}\)
\(\Rightarrow1100a+11b=11\left(100a+b\right)\)
\(\Rightarrow1100a+11b=1100a+11b\)
\(\RightarrowĐCPM\)
2.
\(\overline{aaabbb}=111\overline{a00b}\)
\(\Rightarrow111000a+11b=111\left(100a+b\right)\)
\(\Rightarrow111000a+11b=111000a+11b\)
\(\RightarrowĐPCM\)
1) x - 18 : 3 = 12
x - 6 = 12
x = 12 + 6
x = 18
2) ( x : 3 ) - 18 = 12
x : 3 = 12 + 18
x : 3 = 30
x = 30 x 3
'x = 90
3) ( x - 3 ) : 4 = 7
x - 3 = 7 x 4
x - 3 = 28
x = 28 + 3
x = 31
4 ) ( x : 15 ) - 3 = 25 x 4
( x : 15 ) - 3 = 100
x : 15 = 100 + 3
x : 15 = 103
x = 103 x 15
x = 1545
5) ( x - 25 ) : 9 = 0
x - 25 = 0 x 9
x - 25 = 0
x = 0 + 25
x = 25
6) 34 : ( x - 8 ) = 34
x - 8 = 34 : 34
x - 8 = 1
x = 1 + 8
x = 9
7) ( x + 4 ) x 16 = 80
x + 4 = 80 : 16
x + 4 = 5
x = 5 - 4
x = 1
Giải :
( 1435 + 213 ) – 13 = 1435 + ( 213 – 13 ) = 1435 + 200 = 1635
1972 – ( 364 + 972 ) = 1972 – 972 – 368 = 1000 – 368 = 632
c. 364 – ( 364 – 111 ) = 364 – 364 + 111 = 111
249 – ( 75-51 ) = ( 249 + 51 ) – 75 = 300 – 75 = 225