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a, 28 . (-2).3 - { 136 + [54 - 28 : (69 - 71).2 ]}
=-168- { 136 + [54 - 28 : (-2).2 ]}
=-168 - [136 + (54+28)]
=-168 - 218
=-386
b) 203.46-203.37+203
=203.46-203.37+203.1
=203.(46-37+1)
=203.10
=2030
c)21+23+25+27+29-31-33-35-37-39
=(21-31)+(23-33)+(25-35)+(27-37)+(29-39)
= -10 + (-10) + (-10) + (-10) + (-10)
=-50
d) 18.17-3.6.17
=18.17-18.17
= 0
e,33. ( 107- 112) - 107 . ( 33- 112)
=33.107- 33.112- 107.33+107.112
=(33.107- 33.112- 107.33)+107.112
=33(107-112-107)+107.112
=-33.112+107.112
=112.(-33+107)
=112.74
=8288
CHÚC BẠN MAY MẮN
C =1+2-3-4+5+6-7-8+.....+97+98-99-100
= ( 1 + 2 -3 -4 ) + ( 5+6-7-8 ) + ... + ( 97 + 98 -99-100)
= 4 + ( -4 ) + ... + ( -4) ( do có 25 số)
= 4 x25 = 100
A= 1 + 2 - 3 -4 + 5 + 6 -7 -8 + ... +97 +98 -99 -100 ( có: ( 100 - 1 ) : 1 + 1 = 100 )
A= ( 1 +2 - 3 - 4 ) + ( 5 + 6 - 7 -8 ) + ... ( 97 + 98 - 99 +100 ) ( có 100 : 4 = 25 cặp )
A= - 4 + -4 + -4 + ... + -4 ( có 25 số hạng )
A= ( -4 ) . 25
A= -100
tham khảo
\(A=\frac{\left[\left(25-1\right):1+1\right]\left(25+1\right)}{2}=325.\)
\(B=\frac{\left[\left(51-3\right):2+1\right]\left(51+3\right)}{2}=675\)
\(C=\frac{\left[\left(81-1\right):4+1\right]\left(81+1\right)}{2}=861\)
1/2+1/3+1/6+1/12+1/15+1/20+1/30+1/35+1/42+1/63
=(1/2+1/6+1/12+1/20+1/30+1/42) + (1/3 +1/15+1/35+1/63)
=(1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6,7)+(1/1.3+1/3.5+1/5.7+1/7.9)
=(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6 -1/7) + 1/2.(2/1.3+2/3.5+2/5.7+2/7,9)
=(1-1/7)+ 1/2.(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9)
=6/7+1/2 .(1-1/9)
=6/7+1/2.(8/9)
=6/7+4/9
=82/63
học tốt
1/ 12 . 194 + 6 . 437 . 2 + 3 . 369 . 4
= 12 . 194 + 12 . 437 + 12 . 369
= 12(194 + 437 + 369)
= 12 . 1000
= 12000
2/ 1 + 5 + 9 + 19 + ... + 61 + 65 . 2 - 26
= (1 + 61) + (5 + 57) + ... + (29 + 33) + 130 - 26
= 62 . 8 + 130 - 26
= (496 - 26) + 130
= 470 + 130
= 600
3/ (1374 x 57 + 687 x 86) : (26 x 13 + 74 x 14)
= (1374 x 57 + 1374 x 43) : (26 x 13 + 74 x 13 + 74)
= (1374 x 100) : (13 x 100 + 74)
= 137400 : 1374 = 100
=35.82+35.38+65.75+65
=35.(82+38)+65.(75+1)
=35.120+65.76
=4200+4940
=9140
1) 6/7 = -24/-28
2) -21/35=147/-245
3) -594/2310 = 9/-35
4) -1313 k= 131313/373737
5) 111111/5005 = -111/5
6) 5/7 = 1+2+3+4+5/1+2+3+4+5+6
\(=\left(1+3+...+2021\right)\cdot\left[1001\cdot135\cdot137-1001\cdot135\cdot137\right]\)
\(=\left(1+3+...+2021\right)\cdot0\)
=0
= (1 + 3 + ... + 2021) x (135 x 1001 x 137 - 135 x 137 x 1001)
= (1 + 3 + ... + 2021) x 0
= 0
\(A=\dfrac{1}{5}+\dfrac{3}{35}+\dfrac{1}{21}+\dfrac{1}{33}+\dfrac{3}{143}+\dfrac{1}{65}\)
\(=\left(\dfrac{1}{5}+\dfrac{1}{21}+\dfrac{3}{35}\right)+\left(\dfrac{1}{33}+\dfrac{1}{143}+\dfrac{1}{65}\right)\)
\(=\dfrac{21+5+9}{105}+\dfrac{13+3}{429}+\dfrac{1}{65}\)
\(=\dfrac{1}{3}+\dfrac{1}{65}+\dfrac{16}{429}\)
\(=\dfrac{276}{715}\)