Dividing real numbers with different signs
A1 A2 B1 B2 C1 C2
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
situation
US / ˌsɪtʃuˈeɪʃn /
•UK / ˌsɪtʃuˈeʃən /
- noun
- Place, position or area that something is in
- Circumstance or condition surrounding an event
- An unexpected problem or difficulty
fraction
US / ˈfrækʃn /
•UK / ˈfrækʃən /
- noun
- Small part of something
multiplication
US / ˌmʌltɪplɪˈkeɪʃn /
•UK / ˌmʌltəplɪˈkeʃən /
- noun
- Increase in the number of something
- Process of multiplying one number by another
start
US / stɑ:t /
•UK / stɑrt /
- noun
- First time or place that a thing exists; beginning
- First opportunity to achieve something, e.g. a job
- Sudden action or movement because you are scared
- other
- Beginning of something in place or time
- verb
- To do, be or happen for the first time; begin
- To turn something on
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)
decimal
US / 'desɪml /
•UK / ˈdɛsəməl /
- noun
- Number using one equal tenth of a whole as a basis
positive
US / ˈpɒzətɪv /
•UK / ˈpɑzɪtɪv /
- adjecitve
- Showing agreement or support for something
- Being sure about something; knowing the truth
- Having the charge produced by electrons
- Being good or useful
- Showing that a chemical is present in a test
clear
US / klɪə(r) /
•UK / klɪr /
- adjecitve
- Empty; without anything in it or on it
- Being certain and without doubt
- Being without any streaks, spots, or cracks
- Easy to understand; well-explained; obvious
- adverb
- Completely; entirely; through the whole of
- Away from; free from
- verb
- To recover from or remove a problem
- To get rid of the entire contents of
- To give permission for something to happen
- To make a place or surface empty by removing
- To prove that someone is not guilty or to blame
problem
US / ˈprɒbləm /
•UK / ˈprɑbləm /
- adjecitve
- Causing trouble
- noun
- Something difficult to deal with or causes trouble
- Question to show understanding of a math concept
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
careful
US / ˈkeəfl /
•UK / ˈkerfl /
- adjecitve
- Trying not to make mistakes; working slowly
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
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
end
US / end /
•UK / ɛnd /
- noun
- The point where a process or activity stops
- A point that marks the limit of something; finish
- Goal or desired result
- The tip, edge or limit of something
- verb
- To be the last part of something
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
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
know
US / nəʊ /
•UK / noʊ /
- verb
- To be familiar with a person or place, thing
- To feel sure or be convinced about something
- To discover or be aware of something
- To be able to distinguish
- To have knowledge of things
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
they
US / ðeɪ /
•UK / ðe /
- pronoun
- Two or more people, animals, or things
very
US / 'verɪ /
•UK / ˈvɛri /
- adjecitve
- Concerning a large degree or amount
- adverb
- A lot; much; many
- Used to stress or emphasize a noun
rewrite
US / ˌri:'raɪt /
•UK / riˈraɪt /
- verb
- To write again to improve, or correct errors
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
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
subtract
US / səbˈtrækt /
•UK / səbˈtrækt /
- other
- To take away a value or amount from another
- verb
- To take away a value or amount from another
its
US / ɪts /
•UK / ɪts /
- adjecitve
- Referring to or belonging to ‘it’
- determiner
- Of something; belonging or related to something
- other
- Possessive form of “it”
add
US / æd /
•UK / æd /
- verb
- To include as well
- To put two things or numbers together, e.g. 2+2
bring
US / brɪŋ /
•UK / brɪŋ /
- verb
- To take or go with someone to a place
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
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
arbitrary
US / ˈɑ:bitrəri /
•UK / ˈɑrbɪˌtrɛri /
- adjecitve
- (Of decisions) unsupported; without any evidence
move
US / mu:v /
•UK / muv /
- noun
- Act of moving a playing piece in chess, etc.
- An action; doing something
- Step taken to achieve a goal
- verb
- To cause someone to have certain emotions
- To cause something to change to a different place
- To change where people live or a business operates
- To take action to do or achieve something
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
answer
US / 'ɑ:nsə(r) /
•UK / ˈænsɚ /
- noun
- Reply to a question someone asks
- Solution to a problem or test question
- verb
- To reply to a question someone asks
- To solve a test question or a problem
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
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
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
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
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
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
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
treat
US / tri:t /
•UK / trit /
- noun
- Something you buy for others as a surprise present
- something that tastes good and that is not eaten often
- verb
- To pay for the food or enjoyment of someone else
- To use medical methods to try to cure an illness
- To act in a certain way toward someone
into
US / 'ɪntə /
•UK / ˈɪntu /
- preposition
- Moving or going inside something
- In the same direction as; in the direction of
- So as to become; taking the state of
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
turn
US / tɜ:n /
•UK / tɚn /
- noun
- Place where changing of direction happens
- Your time or chance to perform a duty
- Your chance to play or do in say a game
- Unexpected change, as in the weather
- verb
- To become (a particular age)
- To become a different quality, color, etc.
- To change the direction of something, e.g. a car
- To move in an opposite direction or position
- To shape metal with a spinning tool
five
US / faɪv /
•UK / faɪv /
- number
- 5
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
become
US / bɪ'kʌm /
•UK / bɪˈkʌm /
- verb
- To begin to be; grow to be; develop into
- To be suitable for a particular job or role
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
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
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
remainder
US / rɪ'meɪndə(r) /
•UK / rɪˈmendɚ /
- noun
- What is left over after the larger part is gone
- Number left over after subtracting
- Amount left undone (after other things changed)
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
give
US / ɡɪv /
•UK / ɡɪv /
- noun
- Degree of flexibility in something, a material
- verb
- To hand over or present something to someone
- To cause someone to have or experience something
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
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
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
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)
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
different
US / ˈdɪfrənt /
•UK / ˈdɪfrənt /
- adjecitve
- Not of the same kind; unlike other things
even
US / 'i:vn /
•UK / ˈivən /
- adjecitve
- Being equal in influence, power, possibility etc.
- Being divided equally or fairly
- (Of teams/contest) with similar chances of success
- Smooth, level, or regular
- Can be divided by 2; ending in 2, 4, 6, 8, or 0
- At a regular, equally steady manner
- Remaining steady and unchanging
- adverb
- (When this is surprising) as well; too
- (Used to compare two things/stress the difference)
- verb
- To make something level; to flatten
- To make something equal
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’
reciprocal
US / rɪˈsɪprəkl /
•UK / rɪˈsɪprəkəl /
- adjecitve
- Equal and meeting the needs of both sides
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
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
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
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
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
actually
US / ˈæktʃuəli /
•UK / ˈæktʃuəli /
- adverb
- Used to add new (often different) information
use
US / ju:s /
•UK / ju:s /
- noun
- Ability to employ something
- Need to enable it to work
- Permission to do something with something
- Act of spending money
- Operation of a machine for its function
- verb
- To have; to eat, drink, consume etc.
- To need to operate or work
- To operate a machine, e.g. a computer
- To treat a person badly
- To do something with, for a task or purpose
scenario
US / sɪˈnɑː.ri.əʊ /
•UK / səˈner.i.oʊ /
- noun
- An imagined sequence of events in a plan/project
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
rid
US / rɪd /
•UK / rɪd /
- verb
- To cause to no longer have (pest, problem)
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
try
US / traɪ /
•UK / traɪ /
- noun
- Act of putting the ball over the rugby goal line
- verb
- To make an effort, to attempt to do something
- To examine someone or something in a court of law
- To test to see if it is good or you like it
- To make a person go through hardship; test
- To examine something to see if it works
divide
US / dɪ'vaɪd /
•UK / dɪˈvaɪd /
- verb
- To split numbers by another number, e.g. 6 / 2 = 3
- To separate something into equal pieces
obviously
US / ˈɒbviəsli /
•UK / ˈɑːbviəsli /
- adverb
- In a way that is obvious/easy to see or understand
straight
US / streɪt /
•UK / stret /
- adjecitve
- Not having curves, bends, or angles
- Not gay; heterosexual
- honest and direct
- adverb
- in a line; immediately; honestly and directly
point
US / pɔɪnt /
•UK / pɔɪnt /
- noun
- An item to be discussed
- Small spot or dot
- Fact or detail
- Feature of something
- The size of the text on a page or screen
- A certain time or stage in a process
- Certain position in time or space
- Idea or fact you try to convince people about
- Measurement of scores in a game, sport
- Sharp end of something, e.g. a pen or pin
- verb
- To face a certain direction, e.g. north
- To indicate something with your finger to others
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
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
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
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
put
US / pʊt /
•UK / pʊt /
- phrasal verb
- to make a light stop shining by pressing or moving a switch
- verb
- To move or place a thing in a particular position
- To rate something in importance or value
- To write or say something in a certain manner
two
US / tu: /
•UK / tu /
- number
- 2
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