-|-3| + |-2.22|

asked by guest
on Nov 24, 2024 at 3:46 am



You asked:

Evaluate the expression: \(-\left\lvert -3\right\rvert + \left\lvert -2.22\right\rvert\)

MathBot Answer:

\[-\left\lvert -3\right\rvert + \left\lvert -2.22\right\rvert = - \frac{39}{50} = -0.78\]


\[\begin{aligned}-\left\lvert -3\right\rvert + \left\lvert -2.22\right\rvert& = - \left|{-3}\right| + \left|{- \left(2 + \frac{22}{100}\right)}\right|\\& = - 3 + \left|{- \left(2 + \frac{22}{100}\right)}\right|\\& = -3 + \left|{- \left(2 + \frac{22}{100}\right)}\right|\\& = -3 + \left|{- \left(2 + \frac{11}{50}\right)}\right|\\& = -3 + \left|{- \frac{111}{50}}\right|\\& = -3 + \frac{111}{50}\\& = - \frac{39}{50}\end{aligned}\]