lisa123
  • lisa123
simplify (|pi-2^3|)/(8-pi)- 3+14÷2-5
Mathematics
katieb
  • katieb
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lisa123
  • lisa123
its a pemdas type of problem
lisa123
  • lisa123
the answer is -4 I just don't know how to get it
DecentNabeel
  • DecentNabeel
first slove the parenthesis then apply DMAS rule

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DecentNabeel
  • DecentNabeel
ok
DecentNabeel
  • DecentNabeel
\[\frac{14}{2}-3-5+\frac{\left|\pi -2^3\right|}{-\pi +8}\] \[\mathrm{Divide\:the\:numbers:}\:\frac{14}{2}=7\] \[=\frac{\left|\pi -2^3\right|}{-\pi +8}-3-5+7\] \[\mathrm{Add/Subtract\:the\:numbers:}\:-3-5+7=-1\] \[=\frac{\left|\pi -2^3\right|}{-\pi +8}-\] \[\mathrm{Combine\:the\:fractions\:using\:the\:LCD}:\quad \frac{\left|\pi -2^3\right|}{-\pi +8}-1=\frac{-\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\] \[=\frac{-\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\] \[=\frac{-\left(-\pi +8\right)+\left|\pi -8\right|}{-\pi +8}\] \[\mathrm{Expand}\:-\left(-\pi +8\right):\quad \pi -8\] \[=\frac{\left|\pi -8\right|-8+\pi }{-\pi +8}\] \[\frac{14}{2}-3-5+\frac{\left|\pi -2^3\right|}{-\pi +8}=\frac{\left|\pi -8\right|-8+\pi }{-\pi +8}\quad \left(\mathrm{Decimal:\quad }\:0\right)\]
DecentNabeel
  • DecentNabeel
lisa123
  • lisa123
ok but why is the answer not -4?
DecentNabeel
  • DecentNabeel
the answer is 0 not -4
DecentNabeel
  • DecentNabeel
or you sure the answer is -4 @lisa123
lisa123
  • lisa123
that's what I got on mathway
lisa123
  • lisa123
oh Im soooo sorry guys! theres a bracket in -(3+14 div 2 -5). I have to distribute the negative right?
DecentNabeel
  • DecentNabeel
\[-\left(\frac{14}{2}+3-5\right)+\frac{\left|\pi -2^3\right|}{-\pi +8}=\frac{-5\left(-\pi +8\right)+\left|\pi -8\right|}{-\pi +8}\quad \left(\mathrm{Decimal:\quad }\:-4\right)\]
lisa123
  • lisa123
oh ok! thank you @DecentNabeel and @LynFran
DecentNabeel
  • DecentNabeel
\[\mathrm{Simplify}\:-\left(\frac{14}{2}+3-5\right):\quad -5\] \[=\frac{\left|\pi -2^3\right|}{-\pi +8}-5\] \[\mathrm{Combine\:the\:fractions\:using\:the\:LCD}:\quad \frac{\left|\pi -2^3\right|}{-\pi +8}-5=\frac{-5\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\] \[=\frac{-5\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\] \[\frac{-5\left(-\pi +8\right)+\left|\pi -8\right|}{-\pi +8}\quad \left(\mathrm{Decimal:\quad }\:-4\right)\]
DecentNabeel
  • DecentNabeel
are you understand @lisa123

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