69×113-27×69+69×14+31
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= 69 x ( 113 - 27 + 14 ) + 31
= 69 x 100 +31
= 6900 + 31
=6931
a) 3 4 + 0,5 − 1 1 3 = 3 4 + 1 2 − 4 3 = 9 12 + 6 12 − 16 12 = − 1 12 .
b) − 15 18 + 6 9 − 1 4 = − 5 6 + 2 3 − 1 4 = − 10 12 + 8 12 − 3 12 = − 5 12 .
g) (15 + 37) + (52 – 37 – 17) = 15 + 37 + 52 – 37 – 17 = 15 + 52 – 17 = 50 h) (38 – 42 +14) - (38 – 42 - 15) = 38 – 42 +14 - 38 + 42 + 15 = 14 + 15 = 29 i) (27 + 65 ) + (346 - 27- 65) = 27 + 65 + 346 - 27- 65 = 346 k) - (27 + 65) - (346 – 27 - 65) = -27 - 65 - 346 + 27 + 65 = -346 l) (42 – 69 + 17) - (42 + 17) = 42 – 69 + 17 - 42 - 17 = – 69 m) 24. (16 - 5) – 16. (24 – 5 ) = 24. 16 - 24 . 5 - 16 . 24 + 16. 5 = - 24 . 5 + 16. 5 = -8 . 5 = -40 n) (-12). 47 – 12 . 52 + (-12) = -12 (47 - 52 + 1) = -12 . (-4) = 48 p) 51 . (69 - 25) – 69. (51 - 25) = 51 . 69 - 51 . 25 – 69. 51 + 69. 25 = - 51 . 25 + 69. 25 = (- 51+ 69).25 = 450 |
a: =25x100-150=2500-150=2350
c: \(=520:\left\{515\cdot25\right\}\)
=104/2575
\(-567-\left(-113\right)+\left(-69\right)-\left(113-567\right)\)
\(=-567+113+\left(-69\right)-113+567\)
\(=\left(-567+567\right)+\left(113-113\right)+\left(-69\right)\)
\(=\left(-69\right)\)
\(-567-\left(-113\right)+\left(-69\right)-\left(113-567\right)\)
\(=-567+113-69-113+567\)
\(=\left(-567+567\right)+\left(113-113\right)-69\)
\(=0+0-69=-69\)
Bài 6:
a)\(\left(-18\right)-\left(-3\right)-12\)
\(=\left(-18\right)+3-12\)
\(=-15-12\)
\(=-27\)
b)\(85.\left(35-27\right)-35.\left(85-27\right)\)
\(=85.35-85.27-35.85+35.27\)
\(=85.\left(35-27-35\right)+35.27\)
\(=85.\left(-27\right)+35.27\)
\(=27.\left(-85+35\right)\)
\(=27.\left(-50\right)\)
\(=-1350\)
c)\(\left(-45\right).69+31.\left(-45\right)\)
\(=\left(-45\right).\left(69+31\right)\)
\(=\left(-45\right).100\)
\(=-4500\)
Bài 7:
a)\(\left(2-x\right)+10=-14\)
\(\Rightarrow2-x=-24\)
\(\Rightarrow x=26\)
b)\(14.\left|x\right|=28\)
\(\Rightarrow\left|x\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
c)\(31-\left(17+x\right)=55\)
\(\Rightarrow17+x=-24\)
\(\Rightarrow x=-41\)
\(69x113-27x69+69x14+31\)
\(=69x\left(113-27+14+31\right)\)
\(=69x131\)
\(=9039\)
69 x 113 - 27 x 69 +69 x 14 +31
=69 x ( 113 - 27 + 14 ) +31
= 69 x 72 + 31
= 4968 + 31
= 4999