Question

simplify (|pi-2^3|)/(8-pi)- 3+14÷2-5

Answer 1

its a pemdas type of problem

Answer 2

the answer is -4 I just don't know how to get it

Answer 3

first slove the parenthesis then apply DMAS rule

Answer 4

ok

Answer 5

\[\frac{14}{2}-3-5+\frac{\left|\pi -2^3\right|}{-\pi +8}\]
\[\mathrm{Divide\:the\:numbers:}\:\frac{14}{2}=7\]
\[=\frac{\left|\pi -2^3\right|}{-\pi +8}-3-5+7\]
\[\mathrm{Add/Subtract\:the\:numbers:}\:-3-5+7=-1\]
\[=\frac{\left|\pi -2^3\right|}{-\pi +8}-\]
\[\mathrm{Combine\:the\:fractions\:using\:the\:LCD}:\quad \frac{\left|\pi -2^3\right|}{-\pi +8}-1=\frac{-\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\]
\[=\frac{-\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\]
\[=\frac{-\left(-\pi +8\right)+\left|\pi -8\right|}{-\pi +8}\]
\[\mathrm{Expand}\:-\left(-\pi +8\right):\quad \pi -8\]
\[=\frac{\left|\pi -8\right|-8+\pi }{-\pi +8}\]
\[\frac{14}{2}-3-5+\frac{\left|\pi -2^3\right|}{-\pi +8}=\frac{\left|\pi -8\right|-8+\pi }{-\pi +8}\quad \left(\mathrm{Decimal:\quad }\:0\right)\]

Answer 6

ok @lisa123

Answer 7

ok but why is the answer not -4?

Answer 8

the answer is 0 not -4

Answer 9

or you sure the answer is -4 @lisa123

Answer 10

that's what I got on mathway

Answer 11

oh Im soooo sorry guys! theres a bracket in -(3+14 div 2 -5). I have to distribute the negative right?

Answer 12

\[-\left(\frac{14}{2}+3-5\right)+\frac{\left|\pi -2^3\right|}{-\pi +8}=\frac{-5\left(-\pi +8\right)+\left|\pi -8\right|}{-\pi +8}\quad \left(\mathrm{Decimal:\quad }\:-4\right)\]

Answer 13

oh ok! thank you @DecentNabeel and @LynFran

Answer 14

\[\mathrm{Simplify}\:-\left(\frac{14}{2}+3-5\right):\quad -5\]
\[=\frac{\left|\pi -2^3\right|}{-\pi +8}-5\]
\[\mathrm{Combine\:the\:fractions\:using\:the\:LCD}:\quad \frac{\left|\pi -2^3\right|}{-\pi +8}-5=\frac{-5\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\]
\[=\frac{-5\left(-\pi +8\right)+\left|\pi -2^3\right|}{-\pi +8}\]
\[\frac{-5\left(-\pi +8\right)+\left|\pi -8\right|}{-\pi +8}\quad \left(\mathrm{Decimal:\quad }\:-4\right)\]

Answer 15

are you understand @lisa123