numbers is to represent the roots of a polynomial equation (the adding andsubtracting of many variables) in one variable. Imaginary numbers belong to the complexnumber system. All numbers of the equation a + bi, where a and b are real numbers are apart of the complex number system. Imaginary Numbers at WorkImaginary numbers are used in a variety of fields and holds many uses. Withoutimaginary numbers you wouldnt be able to listen to the radio or talk on your cellularphone. These type of devices work by receiving and transmitting radio waves. Capacitorsand inductors are used to make circuits that are used to make radio waves. In order todetermine the right values of capacitors and inductors to use in the circuits, designersneed to use imaginary numbers.Another use of imaginary and complex numbers is in physics, quantum mechanicsto be exact. In quantum mechanics a big problem is to find the position of a particle.Unfortunately, only the probability distribution of its position is possible to find. Theonly way to calculate this is to use imaginary and complex variables.Lastly, electrical engineers use imaginary numbers. However, instead of using iin their equations they use j. This is because in the equations they commonly use, imeans current, so to represent imaginary numbers they use j.Four Most Familiar Number ConceptsThere are four of the most common numbers that we, the common person, knowabout and can understand why they exist. At one point or another you might have usedone of these four concepts in your math classes. The first concept are Natural Numbers,which are abstract numbers that answer questions, like how many. They are able todescribe sizes and sets. The second concept are Integers, they describe the relative sizesbetween two sets. They answer questions, like how many more does A have than B? Rational numbers are what describes ratios and fractions. For example you might tellKaren that you ate 3/4 of an apple pie. This ...