Home › Flashcards › Kids, Preschool & Early Learning › Virtual Number Flashcards with AI

Turn your virtual number notes into flashcards you can review

Upload a PDF, slide deck, set of notes or a photo of a page. DeckOwl builds flashcards on imaginary and complex numbers, and spaced repetition brings each card back right before you would forget it.

Create flashcards nowFree · No credit card required

Drop files here or browsePDF, DOCX, PPTX, text or photos of your notes · several files with Plus

Free · First set needs no signup · Creates flashcards in seconds

How to study virtual numbers with flashcards

Some textbooks and translated course notes call imaginary numbers virtual numbers, so a stack of virtual number flashcards is a quick way to drill definitions, notation and common operations before an exam.

Start with the definition of i as the square root of -1 and the rule i² = −1.
Make separate cards for powers of i, conjugates, modulus and division of complex numbers.
Keep one deck per chapter so older material keeps coming back while you learn new topics.
Turn a card into a short answer question once you can recall the answer from memory.

Example virtual number (imaginary number) flashcards

What is i, the imaginary unit?i is defined as the square root of -1, so i² = −1.

What is the conjugate of 3 + 4i?3 − 4i. The conjugate keeps the real part and flips the sign of the imaginary part.

What is the modulus of 3 + 4i?5. It equals √(3² + 4²), the distance from the origin to the point in the complex plane.

What is i³ equal to?−i, because i³ = i² · i = −1 · i = −i.

How do you divide complex numbers?Multiply the numerator and denominator by the conjugate of the denominator, then simplify using i² = −1.

Generate the full set

Built from your material

Flashcards come from the PDFs, slides, notes or images you upload, so they match your course's terms and notation.

Spaced repetition

Cards you miss return sooner and cards you know come back less often, so review time goes to what you are about to forget.

Quizzes and mind maps too

Turn the same notes into multiple choice, true/false or short answer quizzes with explanations, or into a mind map of the topic.

How it works

Upload your notes

Add a PDF, DOCX, PPTX, plain text file or a photo of a page from your virtual number or complex numbers unit.

Generate flashcards

DeckOwl reads the material and drafts flashcards with a question or term on the front and the answer on the back.

Review on a schedule

Study in your browser. Spaced repetition sets when each card appears again based on how well you recalled it.

Good cards ask one thing at a time. Put the term or question on the front, such as what i squared equals, and the short answer on the back, so you can check yourself in a few seconds.

Spaced repetition does the scheduling. Cards you struggle with come back sooner, and the ones you already know spread out over days and weeks.

Explore related topics

Number Magnet Flashcards for Early Counting

Turn your own number magnet notes into counting flashcards that repeat over time.

Virtual ABC Flashcards from Your Material

Make virtual ABC flashcards from your own letter chart, with spaced repetition.

Virtual Alphabet Flash Cards

Make custom letter flashcards from your own materials and study them online.

Alphabet and number flashcards

Turn your own letter and number lessons into flashcards with spaced repetition.

Apple Number Flashcards for Early Counting

Custom apple number flashcards from your own counting sheets, plus five sample cards.

Bilingual Number Flashcards from Your Notes

Custom bilingual number flashcards from your own lists, with spaced repetition.

Braille Number Flashcards with AI

Custom braille number cards from your own notes, with spaced repetition built in.

Chinese Number Flashcards PDF Generator

Turn your own notes into printable Chinese number flashcards with spaced repetition.

Frequently asked questions

What is an imaginary number?

An imaginary number is a real multiple of i, the unit defined so that i² = −1. Numbers like 3i or −2.5i are imaginary, and a real number plus an imaginary number is called a complex number.

How should I split my notes into flashcards for a complex numbers unit?

Make one card per definition, rule or operation instead of cramming a whole worked example onto one card. Build a separate deck for each chapter so each set stays focused.

Is DeckOwl free to use?

The Free plan includes 3 generations per month and studying in the browser. Plus, at $39 per year or $7.99 per month, adds unlimited generations and spaced repetition, and students get 40% off with a school email.

Can I export my virtual number flashcards?

Exports are part of the paid plans. Plus includes PDF, DOCX, Anki and CSV export, and the Free plan studies in the browser without exports.

Generate free flashcards

Keep exploring the topic

Review the main ideas visually or practice recalling them.