Question

Todea what did one pencil say to another mathematics algebra order of operations answer

Answer 1

Part 1


`6- (18-3^2)/(4+(2-3)) =6- (18-9)/(4+(-1)) \\ \\ =6- (9)/(4-1) =6- (9)/(3) =6-3 \\ \\ =3`



Part 2


`7-8/4(3^2-1)=7-8/4(9-1) \\ \\ =7-8/4(8)=7-8/32=7- (1)/(2) \\ \\ =6 (1)/(2) = (13)/(2)`



Part 3


`2-2(2-5)^2+3^2=2-2(-3)^2+9 \\ \\ =2-2(9)+9=2-18+9=-7`



Part 4


`(5^2-9\cdot3)^2-11=(25-27)^2-11 \\ \\ =(-2)^2-11=4-11=-7`



Part 5


`[(2-3)^2-5]\cdot4=[(-1)^2-5]\cdot4 \\ \\ =(1-5)\cdot4=-4\cdot4=-16`



Part 6


`12-11\cdot2+16/8=12-22+2 \\ \\ =-8`



Part 7


`-5+1\cdot3-(7-2^3)=-5+3-(7-8) \\ \\ =-2-(-1)=-2+1=-1`



Part 8


`8+2\cdot3-14/7=8+6-2 \\ \\ =12`



Part 9


`(8-2)^2+(1)/(4)[4-3(6-10)]=6^2+(1)/(4)[4-3(-4)] \\ \\ =36+(1)/(4)[4-(-12)]=36+(1)/(4)(4+12)=36+(1)/(4)(16) \\ \\ =36+4=40`



Part 10


`7+(2-3^2)\cdot5=7+(2-9)\cdot5 \\ \\ =7+(-7)\cdot5=7+(-35)=7-35 \\ \\ =-28`



Part 11


`3-2[2^3+(-1)^3]=3-2[8+(-1)] \\ \\ =3-2(8-1)=3-2(7)=3-14 \\ \\ -11`



Part 12


`18+6/3(2^2+5)=18+6/3(4+5) \\ \\ =18+6/3(9)=18+6/27=18+ (2)/(9) \\ \\ =18 (2)/(9)`