Pure Imaginary Numbers Worksheet

In this worksheet we will practice evaluating simplifying and multiplying pure imaginary numbers and solving equations over the set of pure imaginary numbers. Plus model problems explained step by step.

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These numbers were devised using an imaginary unit named i.

Pure imaginary numbers worksheet. Free worksheet pdf and answer key on simplifying imaginary numbers radicals and powers of i. A number like x 1 4 7 4 i which has a real part here the real part is 1 4 and an imaginary part here the imaginary part is 7 4 is called a complexnumber. Imaginary numbers were invented so that negative numbers would have square roots and certain equations would have solutions.

Free number 1 worksheets. Pure imaginary numbers have the form bi where b is just a number complex numbers have the form a bi where a is a real number and bi is a pure imaginary number i is not a variable i is the imaginary unit and is equal to the square root of 1. The number when a 0 we have a pure imaginary number given 2 5i the real part is and the imaginary part is 3 adding and subtracting complex numbers combine like terms add real parts add imaginary parts when subtracting distribute the negative then add simplify.

Goiiiptex tiufribers the discovery of the set of pure imaginary numbers enables us to define still. We will describe complex numbers more formally in the next unit. Solve the equation 2 𝑥 5 0.

I 1 and i2 1 ex. 3i 3 numbers like 3i 97i and r7i are called pure imaginary numbers. The imaginary unit i is used to represent.

Simplify the following 1. Imaginary numbers were created to solve equations that did not have real solutions. Solving quadratic equations complex roots khan.

And both can be 0 the union of the set of all imaginary numbers and the set of all real numbers is the set of complex numbers. R x 2 y 2 1 2. The set of rational and irrational numbers imaginary number.

7 3 2i i i 11. 3 10 4 3 9. The letter i that is used to represent pure imaginary number.

Imaginary number any number that can be written in the form where and are real numbers and 0. Graphically the pure imaginary numbers are typically shown as a vertical line intersecting the number line at 0. Www mathcentre ac uk 1 c mathcentre 2009.

The imaginary numbers consist of all numbers bi where b is a real number and i is the imaginary unit with the property that i 1. So therefore and if r is a positive real number then examples. 29 scaffolded questions that start relatively easy and end with some real challenges.

Any number written in the form where b is a non zero real number. Complex number any number that can be written in the form where and are real numbers.

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