Question

A student has a container with a volume of 0.5 liter. He estimates the volume to be 0.4 liter. By what percent is the student's estimate off? The student's estimate is off by %.

Answer 1

To find what percent is the student's estimate off you use the next formula:

`(\lvert e-v\rvert)/(v)\cdot100`

e is the estimate volume

v is the real volume of the container

`\begin{gathered} (\lvert0.4-0.5\rvert)/(0.5)\cdot100 \\ \\ (\lvert-0.1\rvert)/(0.5)\cdot100 \end{gathered}`

The absolute value of a negative number is:

`\lvert-a\rvert=a`

Then:

`(0.1)/(0.5)\cdot100=20`Then, The student's estimate is off by 20%.​