Question

Simplify: |5.74 + 2.89| – |16.20 + 41.32| A. 16.49 B. 41.54 C. -48.89 D. -57.52

Answer 1

`Solution, \left|5.74+2.89\right|-\left|16.2+41.32\right|=-48.89`

`Steps:`

`\left|5.74+2.89\right|-\left|16.2+41.32\right|`

`\left|5.74+2.89\right|,\\\mathrm{Add\:the\:numbers:}\:5.74+2.89=8.63,\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0,\\\left|8.63\right|=8.63`

`\left|16.2+41.32\right|,\\\mathrm{Add\:the\:numbers:}\:16.2+41.32=57.52,\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0,\\\left|57.52\right|=57.52`

`8.63-57.52`

`\mathrm{Simplify},\\-48.89`

`\mathrm{The\:Correct\:Answer\:is\:C.}`

`\mathrm{Hope\:This\:Helps!!!}`

`\mathrm{-Austint1414}`