Question

You thought your bookcase was 80” (inches) tall. It was really 75.75“

tall. What was your % error rounded to the nearest tenth?
SOMEONE PLEASE ANSWER !!

Answer 1

`\boxed{ \pmbapprox - actual}`

• Approx = 80
• Actual = 75.75

`\sf\% \: error = ( |80 - 75.75| )/(75.75) * 100`

`\sf\% \: error = ( |4.25| )/( (303)/(4) ) * 100`

`\sf\% \: error = ( 4.25 )/( (303)/(4) ) * 100`

`\sf\% \: error = ( (17)/( \cancel4) )/( (303)/( \cancel4) ) * 100`

`\sf\% \: error = ( 17 )/( 303 ) * 100`

`\sf\% \: error = ( 1700 )/( 303 )`

`\sf\% \: error = 5.6\%`

Answer 2

• Difference=80-75.75=4.25"

Error

`\\ \rm\Rrightarrow (Difference)/(Original)* 100`

`\\ \rm\Rrightarrow (4.25)/(80)* 100`

`\\ \rm\Rrightarrow 0.0535(100)`

`\\ \rm\Rrightarrow 5.35\%`