Question

1. If a * b means a x b + 2 and a #b means - a + b -(-3), then find the value of the following: (i) -4*3 (ii) (-3) * (-2) (iii) (-7) # (-3) (iv) 2 # (-4)​ (v) 7*(-5) (vi) ( -7*2) # 3

Answer 1

Explanation:

(i) -4*3 = (-4) ×(3) +2=-12+2=-10

(ii) (-3) * (-2)= (-3) ×(-2) +2= 6+2=8

(iii) (-7) # (-3)= -(-7) +(-3) -(-3) = 7-3+3=7

(iv) 2 # (-4) = -(2) +(-4) -(-3) = -2-4+3=-3

(v) 7*(-5) = 7×(-5) +2= -35+2=-32

(vi) ( -7*2) # 3= ((-7)×(2))+2#3= (-14+2)#3= -12#3

((-7)×(2))+2#3= (-14+2)#3= -12#3= -(-12)+3-(-3)= 12+3+3= 18