Dividing complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy
A1 A2 B1 B2 C1 C2
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
add
US / æd /
•UK / æd /
- verb
- To include as well
- To put two things or numbers together, e.g. 2+2
bit
US / bɪt /
•UK / bɪt /
- noun
- Device put in a horse's mouth to control it
- Small piece of something
- verb
- (E.g. of fish) to take bait and be caught
cancel
US / 'kænsl /
•UK / ˈkænsəl /
- verb
- To end a legal, business, or other agreement
- To stop a planned event from happening
multiply
US / ˈmʌltɪplaɪ /
•UK / ˈmʌltəˌplaɪ /
- verb
- To increase in number by reproducing/having babies
- To increase something by a large quantity
- To have increased by a large quantity
- To calculate two numbers e.g. 2 x 4
nice
US / naɪs /
•UK / naɪs /
- adjecitve
- Being attractive or of high quality or value
- Good or enjoyable
- Being kind or friendly
rewrite
US / ˌri:'raɪt /
•UK / riˈraɪt /
- verb
- To write again to improve, or correct errors
both
US / bəuθ /
•UK / boθ /
- determiner
- Used to refer to two things at the same time
- pronoun
- Used to refer to two things at the same time
change
US / tʃeɪndʒ /
•UK / tʃendʒ /
- noun
- Exchange of one set of clothes for another
- Money in the form of coins instead of paper
- Money returned after giving too much
- Act of making or becoming something else
- verb
- To exchange one set of clothes for another
- To exchange one kind of money for another
- To replace something with another thing
- To make or become something else
- To go from one train, bus, etc. and go to another
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
clearly
US / ˈklɪəlɪ /
•UK / ˈklɪrlɪ /
- adverb
- In a way that is easy to understand; obviously
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
fifteen
US / ˌfɪfˈti:n /
•UK / fɪfˈtin /
- number
- 15
particular
US / pəˈtɪkjələ(r) /
•UK / pɚˈtɪkjəlɚ, pəˈtɪk- /
- adjecitve
- One specific (one)
- Having firm ideas about what is desirable
- Being special or more than is typical
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
two
US / tu: /
•UK / tu /
- number
- 2
anything
US / ˈeniθɪŋ /
•UK / ˈɛniˌθɪŋ /
- pronoun
- A thing of any kind
form
US / fɔ:m /
•UK / fɔrm /
- noun
- Sports team or person's current winning record
- Document you complete when making an application
- Visible shape or style; type; kind
- verb
- To organize something such as a club or group
- To develop; to come into a shape or substance
- To make something into a particular shape
minus
US / ˈmaɪnəs /
•UK / ˈmaɪnəs /
- adjecitve
- Being close to the bottom of a letter grade
- noun
- Negative quality; disadvantage
- Sign that indicates subtraction
- preposition
- Being less than zero in number
- Used when subtracting one number from another
- verb
- To take one number away from another; subtract
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
finally
US / ˈfaɪnəli /
•UK / ˈfaɪnəli /
- adverb
- used especially at the beginning of a sentence to introduce the last point or idea
- After a long time or some difficulty
forty
US / 'fɔ:tɪ /
•UK / ˈfɔrti /
- number
- 40
something
US / ˈsʌmθɪŋ /
•UK / ˈsʌmθɪŋ /
- adverb
- In some degree or measure
- noun
- a person or thing of some value or consequence
- pronoun
- Thing that is not yet known or named
- Approximately
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
guy
US / ɡaɪ /
•UK / ɡaɪ /
- noun
- Man; boy; any person
conjugate
US / 'kɒndʒəɡeɪt /
•UK / ˈkɑndʒəˌɡet /
- adjecitve
- (Of leaves) having only one pair of leaflets
where
US / hwɛə /
•UK / hwɛr, wɛr /
- conjunction
- At or in the place which
- In whatever place
- pronoun
- Word you use to ask the location of something
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
complex
US / 'kɒmpleks /
•UK / kəmˈplɛks, ˈkɑmˌplɛks /
- adjecitve
- Not being simple; having many parts or aspects
- noun
- Group of buildings all used for the same purpose
- Psychological issue regarding self-image
real
US / rɪəl /
•UK / ˈriəl, ril /
- adjecitve
- Actually existing or happening, not imagined
- Being important or special
remember
US / rɪ'membə(r) /
•UK / rɪˈmɛmbɚ /
- verb
- To give someone a gift, e.g. birthday, wedding
- To hold a thought in your mind to not forget it
- To bring a previous image or idea to your mind
toolkit
US / ˈtuːlkɪt /
•UK / ˈtuːlkɪt /
- noun
- A set of hand tools, e.g. drivers and spanners
unit
US / ˈju:nɪt /
•UK / ˈjunɪt /
- noun
- One apartment in a building
- Group of people, e.g. soldiers, that work together
- A chapter of a textbook
- A standard of measurement of something
- Single item made by a company
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
negative
US / 'neɡətɪv /
•UK / ˈnɛɡətɪv /
- adjecitve
- Being harmful, unwanted or unhelpful
- In mathematics, being less than zero
- Focusing on the bad aspects; pessimistic
- noun
- The opposite to a positive electrical charge
- In grammar, containing words such as 'no' or 'not'
- Reply to a question or statement that means 'no'
- Image on camera film used to make a photo
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
last
US / lɑ:st /
•UK / læst /
- adjecitve
- Most recent; the latest
- The one before
- adverb
- Final; with nothing following; after all others
- Most recent; the latest
- determiner
- The one at the end
- verb
- To remain or continue for a certain period of time
confuse
US / kənˈfju:z /
•UK / kənˈfjuz /
- verb
- To make something unclear or hard to understand
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
outer
US / ˈaʊtə(r) /
•UK / ˈaʊtɚ /
- adjecitve
- Far away
- Being farther away from the center
- On or around something; away from the center
six
US / sɪks /
•UK / sɪks /
- number
- 6
part
US / pɑ:t /
•UK / pɑ:rt /
- adjecitve
- To some degree; half; not fully
- noun
- Division of a book
- Ratio of something, e.g. 3 of gin, 1 of tonic
- A line in a person's hair, made with a comb
- Character an actor plays on stage, movie, or TV
- Some, but not all of a specific thing
- Role in causing something to happen
- verb
- To make a line in a person's hair, by using a comb
- To move two things apart creating a space
- To leave someone, or to break off a relationship
division
US / dɪ'vɪʒn /
•UK / dɪˈvɪʒən /
- noun
- How many times a number is contained in another
- One part of an organization
- Act of dividing or separating into parts
- Something that acts as a separating line or point
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
little
US / 'lɪtl /
•UK / ˈlɪtl /
- adjecitve
- Being short in length of time
- Not great in size, amount, or degree; small
- Being very young or younger than others
- adverb
- By an amount or degree that is not very much
- Not often; rarely
- noun
- A person's name
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
inner
US / ˈɪnə(r) /
•UK / ˈɪnɚ /
- adjecitve
- Concerning the inside part of something
make
US / meɪk /
•UK / mek /
- noun
- Product made by a particular company; brand
- verb
- To arrange or prepare something e.g. dinner
- To get to (a place) on time
- To gain the status of (teacher, lawyer, etc.)
- To create something by putting things together
- To earn a certain amount of money at a job
- To cause or force a person to do something
- To cause something to happen or be formed
foil
US / fɔɪl /
•UK / fɔɪl /
- noun
- Very thin layer of metal
- verb
- To cleverly prevent (plot/crime) from happening
multiple
US / ˈmʌltɪpl /
•UK / ˈmʌltəpəl /
- adjecitve
- Having or involving more than one of something
- noun
- Number produced by multiplying a smaller number
- Shop with many branches
term
US / tɜ:m /
•UK / tɚm /
- noun
- Conditions applying to an agreement, contract
- Length of time something is expected to happen
- Fixed period of weeks for learning at school
- The (precise) name given to something
- verb
- To call; give a name to
three
US / θri: /
•UK / θri /
- number
- Number 3
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
five
US / faɪv /
•UK / faɪv /
- number
- 5
how
US / haʊ /
•UK / haʊ /
- adjecitve
- To what degree? in what amount?
- adverb
- (Used to explain the way to do something)
- exclamation
- For what purpose or reason?
- (Used to ask someone or something's condition)
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
rational
US / 'ræʃnəl /
•UK / ˈræʃənəl /
- adjecitve
- Able to think clearly
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
equivalent
US / ɪˈkwɪvələnt /
•UK / ɪˈkwɪvələnt /
- adjecitve
- Equal to something in value, use or meaning
- noun
- Thing like another in quality, quantity or degree
plus
US / plʌs /
•UK / plʌs /
- noun
- A benefit or advantage
- preposition
- In addition; add
- In addition to; Indicates a number above
- Having a value greater than zero
rid
US / rɪd /
•UK / rɪd /
- verb
- To cause to no longer have (pest, problem)
divide
US / dɪ'vaɪd /
•UK / dɪˈvaɪd /
- verb
- To split numbers by another number, e.g. 6 / 2 = 3
- To separate something into equal pieces
actually
US / ˈæktʃuəli /
•UK / ˈæktʃuəli /
- adverb
- Used to add new (often different) information
write
US / raɪt /
•UK / raɪt /
- verb
- To compose letters and words on paper or a screen
- To invent or create a computer program
- To create a song or piece of music
sure
US / ʃʊə(r) /
•UK / ʃʊr /
- adjecitve
- Having no doubts about something
- Have confidence in your own words or actions
- Firmly established or held; being firm or stable
- Being correct or true
- adverb
- What you say to agree willingly
guess
US / ɡes /
•UK / ɡɛs /
- noun
- Answer given when you don't know if it is correct
- verb
- To give an answer without knowing if it is correct
itself
US / ɪtˈself /
•UK / ɪtˈsɛlf /
- pronoun
- Referring to it
will
US / wɪl /
•UK / wɪl /
- noun
- Desire or choice of someone
- Document saying who gets your money when you die
- Strong desire to do something; determination
- Desire to do something; strong wish to do
- other
- Used with verbs to express the future
- verb
- To leave property to someone after your death
- To use mental effort to make something happen
- Am (is, are) likely to do
- To influence someone to do something
- To make something happen by strongly wanting it
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
tool
US / tu:l /
•UK / tul /
- noun
- Device used to make things, e.g. a hammer
- verb
- To provide a workshop with the right equipment
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
first
US / fɜ:st /
•UK / fɚst /
- adjecitve
- 1st; Coming before all others in time or place
- noun
- Something that has not happened before
- Position of the winner of a competition
twice
US / twaɪs /
•UK / twaɪs /
- adverb
- Two times
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
case
US / keɪs /
•UK / kes /
- noun
- Container used to carry things, e.g. clothes
- Set of facts about a crime
- Set of facts about an event
- Example or instance of something
- verb
- To find out about a place, as in planning to steal
essentially
US / ɪˈsenʃəli /
•UK / ɪˈsenʃəli /
- adverb
- Basically; (said when stating the basic facts)
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
value
US / 'vælju: /
•UK / ˈvælju /
- noun
- Importance you attach to something
- Some information expressed as a number
- Stated price of something; worth
- verb
- To place a high importance on something
- To say how much money something is worth
thirty
US / 'θɜ:tɪ /
•UK / ˈθə:ti /
- number
- 30
number
US / ˈnʌmbə(r) /
•UK / ˈnʌmbɚ /
- noun
- Symbols such as 1, 2, 56, 793
- Particular song or dance performed during a show
- Total quantity or amount of things
- verb
- To put numbers on things
- To assign a sequence within a group, series, set
- To claim to be part of a larger group, series, set
square
US / skweə(r) /
•UK / skwɛr /
- adjecitve
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
- noun
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Open public area in the middle of the town
- verb
- To make something balance or be equal
- To multiply a number by itself, e.g. 2x2 or 6x8
- To straighten the edge to form a four-sided shape
down
US / daʊn /
•UK / daʊn /
- adjecitve
- Being sad, sick, or unhappy
- Not operating, working, or functioning as expected
- adverb
- In a sitting or lying position
- Towards or on the ground, floor, or bottom
- Written or copied onto a piece of paper or book
- noun
- A period of play in American Football
- The soft, smooth hairs that cover a bird's body
- preposition
- Along something's path, course, or direction
- Going from a higher position to a lower position
- verb
- To eat or drink very quickly and without stopping
step
US / step /
•UK / stɛp /
- noun
- Movement done as part of a particular dance
- Distance covered by one movement of a leg; stride
- One part or stage in a process
- Sound made by the feet while walking; footstep
- Flat horizontal piece that forms stairs
- verb
- To raise and moving the foot to put it down
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
distributive
US / dɪˈstrɪbjətɪv /
•UK / dɪˈstrɪbjətɪv /
- adjecitve
- Serving to distribute or allot or disperse
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
difference
US / 'dɪfrəns /
•UK / ˈdɪfərəns, ˈdɪfrəns /
- noun
- A thing or issue that people do not agree about
- Not of the same kind; unlike other things
traditional
US / trəˈdɪʃənl /
•UK / trəˈdɪʃənəl /
- adjecitve
- Involved in a custom or event common to a people
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
numerator
US / ˈnju:məreɪtə(r) /
•UK / ˈnu:məreɪtə(r) /
- noun
- Dividend of a fraction
ask
US / ɑ:sk /
•UK / æsk /
- verb
- To say to someone that you want something
magenta
US / məˈdʒentə /
•UK / məˈdʒɛntə /
- noun
- Deep purplish red
undefined
US / ˌʌndɪˈfaɪnd /
•UK / ˌʌndɪˈfaɪnd /
- adjecitve
- Not precisely limited or described
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
imaginary
US / ɪ'mædʒɪnərɪ /
•UK / ɪˈmædʒəˌnɛri /
- adjecitve
- Not real; existing only in your imagination
pattern
US / 'pætn /
•UK / ˈpætən /
- noun
- Model to follow in making or doing something
- Colors or shapes which are repeated on objects
- Regular repeated behavior
- verb
- To copy the way something else is made
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
zero
US / ˈzɪərəʊ /
•UK / ˈzɪroʊ /
- noun
- Temperature when water turns to ice
- number
- Number 0
- verb
- To set a scale or other device to show 0
helpful
US / ˈhelpfl /
•UK / ˈhɛlpfəl /
- adjecitve
- Doing things that help someone
same
US / seɪm /
•UK / sem /
- adjecitve
- Being equal in quality and amount
- Identical; not different
- Not changing; constant
really
US / ˈri:əli /
•UK / ˈriəˌli, ˈrili /
- adverb
- Used to stress something that is said; definitely
- In a true or accurate manner
- Very
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
can
US / kæn /
•UK / kən,kæn /
- noun
- A metal container for storing food
- other
- Able to; have the skill to; have the time to
- verb
- To have permission to
- To be possible to do
- To preserve food by sealing it in a metal container
deal
US / di:l /
•UK / dil /
- verb
- To cope with something - usually troubles
- To give (something bad e.g. news) to
- To buy and sell illegal drugs
- To give out (cards, etc.) to; distribute
- To do business with someone or to sell products
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
seven
US / ˈsevn /
•UK / ˈsɛvən /
- number
- Number 7
want
US / wɔnt /
•UK / wɑnt, wɔnt /
- noun
- Something you desire or wish for
- State or condition of poverty
- verb
- To desire or wish for something; hope for a thing
distribute
US / dɪˈstrɪbju:t /
•UK / dɪˈstrɪbjut /
- verb
- To hand out or give to people
- To send products to stores to sell
- To spread something over an area
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us