Vocabulary

  • start out: To begin your life or career in a particular way.
  • end up with: To have something as a result.
  • come up with: To think of an idea or solution; produce
  • by hand: Done manually; not by machine.
  • in particular: Specifically; especially.
  • think about: To consider something carefully.
  • look for: To try to find a thing or person that is lost
  • start up: A newly established business.
  • have to: Must do
  • write down: To record in writing
  • in order to: For the purpose of; with the aim of.
  • look at: To use your eyes to focus on something
  • at a time: Separately; one by one
  • weird: Odd or unusual; surprising; strange
  • episode: One separate event in a series of events
  • process: To organize and use data in a computer
  • figure: To appear in a game, play or event
  • slightly: Only a little
  • technique: Way of doing by using special knowledge or skill
  • ancient: Very old; having lived a very long time ago
  • negative: The opposite to a positive electrical charge
  • accurate: With no mistake or error; Correct
  • intuition: Natural ability to guess or feel things
  • impressive: Causing admiration or respect; grand or expensive
  • approximately: Around; nearly; almost; about (a number)
  • represent: To depict art objects, figures, scenes; to portray
  • previous: Existing or happening before the present time
  • legacy: Literature, arts etc. from previous generations
  • imagine: To think creatively about; form mental picture of
  • method: (Organized and planned) way of doing something
  • bit: Device put in a horse's mouth to control it
  • initial: First letter of your given name
  • algorithm: A step-by-step problem-solving feature
  • divide: To split numbers by another number, e.g. 6 / 2 = 3
  • estimate: Guess or calculation of cost, size or value
  • substitute: To perform the tasks instead of someone else
  • efficient: Able to produce results without waste
  • endure: To last for a long time; continue to exist
  • fraction: Small part of something
  • wonder: Surprise caused by experiencing something amazing
  • formula: A mathematical or scientific rule
  • remarkable: Interesting and unexpected, worthy of notice
  • guess: To give an answer without knowing if it is correct
  • equal: Same in shape, size, or number
  • civilization: A highly developed society
  • provide: To make available; to supply for use
  • shape: The outer form of something, what it looks like
  • notice: To become aware by sight, touch, or hearing
  • carve: To cut a piece of cooked meat into thin slices
  • simple: Not hard to understand or do; not complex
  • multiply: To increase in number by reproducing/having babies
  • modern: Of the present time; up to date; contemporary
  • point: An item to be discussed
  • clay: Heavy sticky earth used to make pottery
  • difference: A thing or issue that people do not agree about
  • start: First time or place that a thing exists; beginning
  • area: Amount of measured space
  • approximate: About; not exact but close
  • tablet: Small hand-held computer with a touch screen
  • correspond: To have similarity or equality with something
  • calculate: To find an answer using mathematics
  • iteration: Single execution of a repeated set of instructions
  • cube: Solid object that has six square sides
  • decimal: Number using one equal tenth of a whole as a basis
  • denote: To represent or have a meaning of something
  • calculation: Process or result of using mathematics
  • diagonal: Joining two opposite corners at an angle
  • approximation: Something that is similar, but not an exact copy
  • denominator: Bottom number in a fraction
  • numerator: Dividend of a fraction
  • algebraic: Concerning algebra
  • geometrically: In a mathematical pattern
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  • not found vocabularyNo vocabulary matches your filters
    • accurate

      US /ˈækjərɪt/

      UK /ˈækjərət/

      • Adjective
      • With no mistake or error; Correct
      A2
      More
    • algebraic

      US /ˌældʒəˈbreɪk/

      UK /ˌældʒɪ'breɪɪk/

      • Adjective
      • Concerning algebra
      C1
      More
    • algorithm

      US /ˈælɡəˌrɪðəm/

      UK /'ælɡərɪðəm/

      • Noun
      • A step-by-step problem-solving feature
      B2
      More
    • ancient

      US /ˈenʃənt/

      UK /'eɪnʃənt/

      • Adjective
      • Very old; having lived a very long time ago
      • Relating to a period in history, especially in the distant past.
      • Noun
      • A person who lived in ancient times.
      A2
      More
    • approximate

      US /əˈprɑksəmɪt/

      UK /ə'prɒksɪmət/

      • Adjective
      • About; not exact but close
      • Verb (Transitive/Intransitive)
      • To be similar to, but not exactly the same
      B2
      More
    • approximately

      US /əˈprɑksəmɪtlɪ/

      UK /əˈprɒksɪmətli/

      • Adverb
      • Around; nearly; almost; about (a number)
      A2TOEIC
      More
    • approximation

      US /əˌprɑksəˈmeʃən/

      UK /əˌprɒksɪˈmeɪʃn/

      • Noun
      • Something that is similar, but not an exact copy
      B2
      More
    • at a time

      US /æt e taɪm/

      UK /æt ə taim/

      • Phrase
      • Separately; one by one
      • Simultaneously; together
      A1
      More
    • by hand

      US /baɪ hænd/

      UK /bai hænd/

      • Phrase
      • Done manually; not by machine.
      • Delivered personally; not by mail or electronically.
      A1
      More
    • calculate

      US /ˈkælkjəˌlet/

      UK /'kælkjʊleɪt/

      • Transitive Verb
      • To find an answer using mathematics
      • To make an educated guess about something
      B2
      More
    • calculation

      US /ˌkælkjəˈleʃən/

      UK /ˌkælkjuˈleɪʃn/

      • Noun (Countable/Uncountable)
      • Process or result of using mathematics
      • An educated guess about something
      B2
      More
    • carve

      US /kɑ:rv/

      UK /kɑ:v/

      • Transitive Verb
      • To cut a piece of cooked meat into thin slices
      • To make a cut in, e.g. to write your name on tree
      B1
      More
    • civilization

      US /ˌsɪvəlɪˈzeʃən/

      UK /ˌsɪvəlaɪ'zeɪʃn/

      • Noun (Countable/Uncountable)
      • A highly developed society
      B2
      More
    • clay

      US /kle/

      UK /kleɪ/

      • Uncountable Noun
      • Heavy sticky earth used to make pottery
      • Proper Noun
      • Person's name
      B1
      More
    • come up with

      US /kʌm ʌp wɪð/

      UK /kʌm ʌp wið/

      • Phrasal Verb
      • To think of an idea or solution; produce
      A1
      More
    • correspond

      US /ˌkɔ:rəˈspɑ:nd/

      UK /ˌkɒrəˈspɒnd/

      • Intransitive Verb
      • To have similarity or equality with something
      • To write letters or emails to someone
      B1
      More
    • cube

      US /kjub/

      UK /kju:b/

      • Noun
      • Solid object that has six square sides
      • Transitive Verb
      • To cut food into the shape of small cubes
      • To multiply a number by itself three times
      B2
      More
    • decimal

      US /ˈdɛsəməl/

      UK /'desɪml/

      • Noun
      • Number using one equal tenth of a whole as a basis
      B2
      More
    • denominator

      US /dɪˈnɑməˌnetɚ/

      UK /dɪˈnɒmɪneɪtə(r)/

      • Noun
      • Bottom number in a fraction
      B2TOEIC
      More
    • denote

      US /dɪˈnot/

      UK /dɪ'nəʊt/

      • Transitive Verb
      • To represent or have a meaning of something
      B1
      More
    • diagonal

      US /daɪˈæɡənəl/

      UK /daɪˈægənl/

      • Adjective
      • Joining two opposite corners at an angle
      • Noun
      • A straight line joining two opposite corners of a square, rectangle, or other straight-sided shape.
      • A diagonal pattern or design.
      B2
      More
    • divide

      US /dɪˈvaɪd/

      UK /dɪ'vaɪd/

      • Verb (Transitive/Intransitive)
      • To split numbers by another number, e.g. 6 / 2 = 3
      • To separate something into equal pieces
      • Noun
      • A separation or distinction.
      A2TOEIC
      More
    • efficient

      US /ɪˈfɪʃənt/

      UK /ɪˈfɪʃnt/

      • Adjective
      • Able to produce results without waste
      • Capable of producing desired results with little or no waste (of time, energy, or other resources).
      A2TOEIC
      More
    • end up with

      US

      UK

      • Phrasal Verb
      • To have something as a result.
      A1
      More
    • endure

      US /ɛnˈdʊr, -ˈdjʊr/

      UK /ɪn'djʊə(r)/

      • Intransitive Verb
      • To last for a long time; continue to exist
      • Transitive Verb
      • To accept difficulties without struggle
      B1TOEIC
      More
    • episode

      US /ˈɛpɪˌsod/

      UK /'epɪsəʊd/

      • Noun
      • One separate event in a series of events
      • Show which is part of a larger story
      B1TOEIC
      More
    • estimate

      US /ˈɛstəˌmet/

      UK /'estɪmət/

      • Noun (Countable/Uncountable)
      • Guess or calculation of cost, size or value
      • A judgment or opinion.
      • Transitive Verb
      • To guess or calculate the cost, size or value of
      • To form an approximate idea or judgment of.
      A2TOEIC
      More
    • formula

      US /ˈfɔrmjələ/

      UK /'fɔ:mjələ/

      • Noun (Countable/Uncountable)
      • A mathematical or scientific rule
      • Plan, rule or method for doing or making something
      A2TOEIC
      More
    • fraction

      US /ˈfrækʃən/

      UK /ˈfrækʃn/

      • Noun (Countable/Uncountable)
      • Small part of something
      • A numerical quantity that is not a whole number (e.g., 1/2, 0.5).
      B1TOEIC
      More
    • geometrically

      US /ˌdʒi:ə'metrɪklɪ/

      UK /ˌdʒi:ə'metrɪklɪ/

      • Adverb
      • In a mathematical pattern
      B2
      More
    • have to

      US /hæv tu/

      UK /ˈhæv tə/

      • Auxiliary Verb
      • Must do
      A1
      More
    • impressive

      US /ɪmˈprɛsɪv/

      UK /ɪmˈpresɪv/

      • Adjective
      • Causing admiration or respect; grand or expensive
      • Having a strong effect, commanding attention.
      B1TOEIC
      More
    • in order to

      US /ɪn ˈɔrdɚ tu/

      UK /in ˈɔ:də tu:/

      • Preposition
      • For the purpose of; with the aim of.
      • Phrase
      • In a specific sequence or arrangement.
      • With the aim of; for the purpose of.
      C1
      More
    • in particular

      US /ɪn pɚˈtɪkjəlɚ/

      UK /in pəˈtikjulə/

      • Phrase
      • Specifically; especially.
      • Detailed or precise.
      A1
      More
    • initial

      US /ɪˈnɪʃəl/

      UK /ɪ'nɪʃl/

      • Noun
      • First letter of your given name
      • The beginning or commencement of something.
      • Transitive Verb
      • To authorize something by writing your initials
      • To mark or sign with one's initials.
      A2TOEIC
      More
    • intuition

      US /ˌɪntuˈɪʃən, -tju-/

      UK /ˌɪntjuˈɪʃn/

      • Noun (Countable/Uncountable)
      • Natural ability to guess or feel things
      B2
      More
    • iteration

      US /ˌɪtəˈreʃən/

      UK /ˌɪtəˈreɪʃn/

      • Noun
      • Single execution of a repeated set of instructions
      C1
      More
    • legacy

      US /ˈlɛɡəsi/

      UK /'leɡəsɪ/

      • Noun (Countable/Uncountable)
      • Literature, arts etc. from previous generations
      • Something left or given by a person who has died
      • Adjective
      • Relating to old or outdated computer systems or software.
      B2TOEIC
      More
    • look at

      US /lʊk æt/

      UK /luk æt/

      • Phrasal Verb
      • To use your eyes to focus on something
      • To focus your eyes on something carefully
      A1
      More
    • look for

      US /lʊk fɔr/

      UK /luk fɔ:/

      • Phrasal Verb
      • To try to find a thing or person that is lost
      • To expect or anticipate something.
      A1
      More
    • method

      US /ˈmɛθəd/

      UK /'meθəd/

      • Noun (Countable/Uncountable)
      • (Organized and planned) way of doing something
      • Orderliness of thought, arrangement, or behavior.
      A2TOEIC
      More
    • multiply

      US /ˈmʌltəˌplaɪ/

      UK /ˈmʌltɪplaɪ/

      • Verb (Transitive/Intransitive)
      • To increase in number by reproducing/having babies
      • To increase something by a large quantity
      B1
      More
    • negative

      US /ˈnɛɡətɪv/

      UK /'neɡətɪv/

      • Noun
      • The opposite to a positive electrical charge
      • In grammar, containing words such as 'no' or 'not'
      • Adjective
      • Being harmful, unwanted or unhelpful
      • In mathematics, being less than zero
      A2
      More
    • numerator

      US /ˈnu:məreɪtə(r)/

      UK /ˈnju:məreɪtə(r)/

      • Countable Noun
      • Dividend of a fraction
      C2
      More
    • previous

      US /ˈpriviəs/

      UK /ˈpri:viəs/

      • Adjective
      • Existing or happening before the present time
      • Existing or occurring immediately before in time or order.
      • Noun
      • A button or link that allows navigation to a preceding item or page.
      A2TOEIC
      More
    • process

      US /ˈprɑsˌɛs, ˈproˌsɛs/

      UK /prə'ses/

      • Transitive Verb
      • To organize and use data in a computer
      • To deal with official forms in the way required
      • Noun (Countable/Uncountable)
      • Dealing with official forms in the way required
      • Set of changes that occur slowly and naturally
      A2TOEIC
      More
    • remarkable

      US /rɪˈmɑrkəbəl/

      UK /rɪˈmɑ:kəbl/

      • Adjective
      • Interesting and unexpected, worthy of notice
      • Worthy of attention; striking.
      A2TOEIC
      More
    • represent

      US /ˌrɛprɪˈzɛnt/

      UK /ˌreprɪ'zent/

      • Transitive Verb
      • To depict art objects, figures, scenes; to portray
      • To show or describe something in a particular way
      A2TOEIC
      More
    • slightly

      US /ˈslaɪtli/

      UK /ˈslaɪtli/

      • Adverb
      • Only a little
      B1
      More
    • start out

      US /stɑrt aʊt/

      UK /stɑ:t aut/

      • Phrasal Verb
      • To begin your life or career in a particular way.
      • To begin a journey.
      A1
      More
    • start up

      US /stɑrt ʌp/

      UK /stɑ:t ʌp/

      • Countable Noun
      • A newly established business.
      • Phrasal Verb
      • To begin or initiate something.
      • To begin a new business or enterprise.
      A1
      More
    • substitute

      US /ˈsʌbstɪˌtut, -ˌtjut/

      UK /'sʌbstɪtju:t/

      • Transitive Verb
      • To perform the tasks instead of someone else
      • To replace one person or thing for another
      • Noun
      • A person or thing acting in place of another
      B2TOEIC
      More
    • tablet

      US /ˈtæblɪt/

      UK /'tæblət/

      • Noun (Countable/Uncountable)
      • Small hand-held computer with a touch screen
      • Small round piece of medicine which is swallowed
      B2
      More
    • technique

      US /tɛkˈnik/

      UK /tekˈni:k/

      • Noun (Countable/Uncountable)
      • Way of doing by using special knowledge or skill
      • The skill or ability to do something well.
      A2TOEIC
      More
    • think about

      US /θɪŋk əˈbaʊt/

      UK /θiŋk əˈbaut/

      • Phrasal Verb
      • To consider something carefully.
      • To remember or call to mind.
      A1
      More
    • weird

      US /wɪrd/

      UK /wɪəd/

      • Adjective
      • Odd or unusual; surprising; strange
      • Eerily strange or disturbing.
      B1
      More
    • write down

      US /raɪt daʊn/

      UK /rait daun/

      • Phrasal Verb
      • To record in writing
      A1
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    B1US
    #square root#square#equal#root#squared#approximately

    How To Calculate Any Square Root. An Ancient Method That Powers Modern Computers

    0
    Lin posted on 2026/01/06
    Ever wondered how ancient Babylonians calculated square roots? This video dives into a fascinating method using cuneiform numerals and base-60, showing you how it still powers modern computers! You'll pick up some cool historical facts and advanced vocabulary while mastering this ancient math trick.

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