Question

a)17-(-9)-27-19
b)3.(-9)+9
c)-(-24)+(-37)-25+14
d)(-7).5-9.(-4)-105
e)(-7)²+32:(-8)
f)(-2)²-36:(-6)-l-7l

Answer 1

a) \(17-\left(-9\right)-27-19\\ =17+9-27-19\\ =\left(17-27\right)+\left(9-19\right)\\ =\left(-10\right)+\left(-10\right)=-20\)

b) \(3\cdot\left(-9\right)+9\\ =\left(-3\right)\cdot9+9\\ =9\left(-3+1\right)\\ =9\cdot\left(-2\right)=-18\)

c) \(-\left(-24\right)+\left(-37\right)-25+14\\ =24-37-25+14\\ =\left(24+14\right)-\left(37+25\right)\\ =38-62=-24\)

d) \(\left(-7\right)\cdot5-9\cdot\left(-4\right)-105\\ =\left(-7\right)\cdot5-9\cdot\left(-4\right)-21\cdot5\\ =5\left(-7-21\right)-\left(-36\right)\\ =5\cdot\left(-28\right)+36\\ =-140+36=-104\)

e) \(\left(-7\right)^2+32\div\left(-8\right)\\ =49+\left(-4\right)\\ =45\)

f) \(\left(-2\right)^2-36\div\left(-6\right)-\left|-7\right|\\ =4-\left(-6\right)-7\\ =4+6-7\\ =10-7=3\)

Answer 2

a) 17-(-9)-27-19 = -20.

b) 3.(-9)+9 = -18.

c) (-24)+(-37)-25+14 = -72.

d) (-7).5-9.(-4)-105 = -104.

e) (-7)²+32:(-8) = 45.

f) (-2)²-36:(-6)-7 = 3.