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1.1 Homework

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이 집합의 용어 (26)

  • The set of integers is

    {...,-3,-2,-1,0,1,2,3 ...}

  • The set of whole numbers is

    {0,1,2,3,4,5,6, ...}

  • The set of natural numbers is

    {1,2,3,4,5,6,...}

  • The set of rational numbers

    is the set of all numbers that can be expressed as a quotient of integers with denominator not zero.

  • Irrational numbers are

    the numbers with decimal forms tha are non-terminating and non-repeating. These numbers cannot be written as quotients of integers.

  • The set of real numbers is the set of

    all numbers that are rational or irrarional.

  • The franction 8/11 corresponds to a point on a number line.

    it is, therefore, a member of the set of real numbers.

  • The franction 8/11 is not a member of the sets of integers,

    Whole numbers, or natural numbers.

  • However, 8/11 can be expressed a a quotient of the integers 8and 11.

    it is, therefore, a memberof the set of rational numbers.

  • if 8/11 is a member of the set of rational numbers,

    it cannot be a member of the set of irrational numbers.

  • What is rational numbers?

    is the set of all number that can be expressed a a quotient of integers with denominator not zero

  • Therefore, 8/11

    is a member of the set of real numbers and the set of rational numbers.

  • square root (23) is a real number. if 23 does not have a square root that is an integer,

    then square root (23) is an irrational number.

  • Therefore, square root of (23)

    is an irrational number.

  • The natural numbers are the counting numbers:

    1,2,3,4,5,...

  • The only natural number in the list is 11/1, since 11/1

    =11 and 11 is a natural number.

  • The whole numbers include the natural numbers

    and 0

  • A rational number is any number that can be expressed as

    the ration of two integers: p/q, where q is not equat to 0. Rational numbers include all integers, all reapeating decimals, and all terminating decimals.

  • Which set of numbers is most appropriate to describe gallons of gasoline in a tank

    Rational numbers

  • Elevation according to sea level

    can be negative

  • Since elevation according to sea level is not counted, can be negative, and cannot be fractional,

    then the numbers most appropriate to describe it are the integers.

  • A student's GPA

    A rational number

  • Anthing to the 0 power

    Is allways 1

  • A population of a town

    Natural numbers

  • Gallons of gasoline

    Rational numbers

  • Find the midpoint of the line segment connecting the points

    (6,3) and (-4,-7)

    \(\frac{3-7}{2}\frac{6-7}{2}=\)\(-\frac42=\frac{-2}{2}=\frac22=1=\left(1,-2\right)\)