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\(-1+2-3+4-5+6-.......+98-99+100\)
\(=-1+\left(2-3\right)+\left(4-5\right)+\left(6-7\right)+...+\left(98-99\right)+100\)
\(=-1+\left(-1\right)+\left(-1\right)+...+\left(-1\right)+100\)
\(=\left(-1\right)48+100=-48+100=52\)
-1 + 2 - 3 + 4 -5+6-7+...-99+100
= -1 +(2-3) + (4-5) + (6-7) + ...+ (98-99) + 100
= -1 -1-1-1-...-1+100
= -51 + 100 = 49
\(112\cdot35+112\cdot65+800\)
\(=112\cdot\left(35+65\right)+800\)
\(=112\cdot100+800\)
\(=11200+800\)
\(=12000\)
\(d)8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)
\(=\dfrac{8.7+2}{7}-\left(\dfrac{3.9+4}{9}+\dfrac{4.7+2}{7}\right)\)
\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)
\(=\dfrac{58}{7}-\dfrac{31}{9}-\dfrac{30}{7}\)
\(=\left(\dfrac{58}{7}-\dfrac{30}{7}\right)-\dfrac{31}{9}\)
\(=\left(\dfrac{58-30}{7}\right)-\dfrac{31}{9}\)
\(=\dfrac{28}{7}-\dfrac{31}{9}\)
\(=\dfrac{28.9}{7.9}-\dfrac{31.7}{9.7}\)
\(=\dfrac{252}{63}-\dfrac{217}{63}\)
\(=\dfrac{252-217}{63}\)
\(=\dfrac{35}{63}\)
\(=\dfrac{5}{9}\)
`1,14 . 6,4 + 1,14 . 3,6 + 0,2 . 1,14 . 5`
`= 1,14 . (3,6 + 6,4 + 1)`
`= 1,14 . 11`
`= 12,54`
a ) 48 - 73 + |15| - ( - 29 )
= -25 + 15 + 29 = 19
b) 134 + 46.( 39 - 78 ) - | 267 |
= 134 + 46.( -39 ) - 267 = -133 -1794 = -1927
c) 36 - 16.( -2 )² + ( - 53 )
= 36 - 16.4 - 53 = -17 - 64 = -81
d) ( 259 - 47 - 5 ) - ( 259 - 5 )
= 259 - 47 - 5 - 259 + 5 = - 5 + 5 + 259 - 259 = 0
e ) 325. 26 - 325 . 125 - 325
= 325 (26 - 125 - 1) = 325. (-100) = -32500
`1+1/3=4/3`
`=>1/(1+1/3)=1:4/3=3/4`
`=>B=(1-1/3+3/4)/(1-1/3-3/4)`
`=(2/3+3/4)/(2/3-3/4)`
`=17/12:(-1/12)`
`=-17`