Greatest possible error calculator

The greatest possible error calculator below will find the error for you no matter how big the number you enter is. Enter a number followed by the unit.






However, leave a space between the number and the unit. This calculator will help you master the concept.

                     
Greatest possible error

What is the greatest possible error (GPE)? No measurement is perfect. Whenever you are doing some measurement, there is a great likelihood that it is not exact.

Definition: The greatest possible error in a measurement is half of the measuring unit.

For example, what is the greatest possible error for 8 cm?

8 cm was measured to the nearest 1 cm, so the measuring unit is 1 cm.  The greatest possible error is 0.5 times 1 or 0.5 cm.

What is the GPE for 4.2 inches?

This time 4.2 was measured to the nearest tenth of an inch or 0.1 inch, so the measuring unit is 0.1. The GPE is 0.5 times 0.1 inch or 0.05 inch.



      
Real life application of the greatest possible error

You measure a garden that is rectangular as shown in the diagram. Find the minimum and maximum area of the garden. 



The measurements were made to the nearest foot, so the greatest possible error is 0.5 foot.

The width of the garden could be as little as 27 - 0.5 = 26.5 or as big as 27 + 0.5 = 27.5

The length of the garden could be as little as 18 - 0.5 = 17.5 or as big as 18 + 0.5 = 18.5

The minimum area = 26.5 × 17.5 = 463.75 square feet

The maximum area = 27.5 &$215; 18.5 = 508.75 square feet





Recent Articles

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest





Recent Lessons

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz