Question

Tính bằng cách hợp lí giá trị của các biểu thức sau :

a) \(\left(-3,8\right)+\left[\left(-5,7\right)+\left(+3,8\right)\right]\)

b) \(\left(+31,4\right)+\left[\left(+6,4\right)+\left(-18\right)\right]\)

c) \(\left[\left(-9,6\right)+\left(+4,5\right)\right]+\left[\left(+9,6\right)+\left(-1,5\right)\right]\)

d) \(\left[\left(-4,9\right)+\left(-37,8\right)\right]+\left[\left(+1,9\right)+\left(+2,8\right)\right]\)

Answer 1

a)

\(\left(-3,8\right)+\left[\left(-5,7\right)+\left(+3,8\right)\right]\\ =\left(-3,8\right)+\left(-5,7\right)+3,8\\ =\left[\left(-3,8\right)+3,8\right]+\left(-5,7\right)\\ =0+\left(-5,7\right)\\ =-5,7\)

b)

\(\left(+31,4\right)+\left[\left(+6,4\right)+\left(-18\right)\right]\\ =31,4+6,4-18\\ =37,8-18\\ =19,8\)

c)

\(\left[\left(-9,6\right)+\left(+4,5\right)\right]+\left[\left(+9,6\right)+\left(-1,5\right)\right]\\ =\left(-9,6\right)+4,5+9,6-1,5\\ =\left[\left(-9,6\right)+9,6\right]+\left[4,5-1,5\right]\\ =0+3\\ =3\)

d)

\(\left[\left(-4,9\right)+\left(-37,8\right)\right]+\left[\left(+1,9\right)+\left(+2,8\right)\right]\\ =\left(-4,9\right)-37,8+1,9+2,8\\ =\left[\left(-4,9+1,9\right)\right]-\left[\left(37,8-2,8\right)\right]\\ =\left(-3\right)-35\\ =-38\)

Answer 2

a)(-3,8)+[(-5,7)+3,8]

=(-3,8)+(-5,7)+3,8

=(-3,8)+3,8+(-5,7)

=0+(-5,7)

=-5,7

Answer 3

a. (-3,8) + [(-5,7) + ( +3,8)] = [(-3,8) + (+3,8)] + (-5,7)

= 0 + (-5,7) = -5,7

b. (+31,4) + [(+6,4) + (-18)] = [(+31,4) + (-18)] + (+6,4)

= (+13,4) + ( +6,4) =19,8

c. [(-9,6) + (+4,5)] + [(+9,6) + (-1,5)] = [(=9,6) + (+9,6)] + [(+4,5) + (-1,5)]

= 0 + 3

d. [(-4,9) + (-37,8)] + [(+1,9) + (+2,8)] = [(-4,9) + (+1,9)] + [( -37,8) + ( + 2,8)]

= (-3) + ( -35) = -38

Answer 4

2x(x-1/7)-0