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Types of Numbers

Natural, whole, integer, rational, irrational, real and special number families.

49 cardsGrades 3–5, Grades 6–8, Grades 9–12#number systems#number sense

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49 cards
  • Natural (counting) numbersTerm
    1, 2, 3, 4, ...
  • Whole numbersTerm
    0, 1, 2, 3, ...
  • IntegersTerm
    ..., −3, −2, −1, 0, 1, 2, 3, ...
  • Rational numbersTerm
    Numbers that can be written as a fraction of two integers
  • Irrational numbersTerm
    Numbers that cannot be written as a fraction
  • Real numbersTerm
    All rational and irrational numbers
  • Imaginary numbersTerm
    Multiples of i, where i² = −1
  • Complex numbersTerm
    Numbers of the form a + bi
  • Even numbersTerm
    Whole numbers divisible by 2
  • Odd numbersTerm
    Whole numbers not divisible by 2
  • Prime numbersTerm
    Numbers above 1 with exactly two factors
  • Composite numbersTerm
    Numbers above 1 that are not prime
  • Square numbersTerm
    1, 4, 9, 16, 25, ...
  • Cube numbersTerm
    1, 8, 27, 64, 125, ...
  • Triangular numbersTerm
    1, 3, 6, 10, 15, 21, ...
  • Fibonacci numbersTerm
    1, 1, 2, 3, 5, 8, 13, 21, ...
  • Perfect numbersTerm
    Numbers equal to the sum of their proper factors: 6, 28, 496
  • Is 6 perfect?Term
    Yes: 1 + 2 + 3 = 6
  • Is 28 perfect?Term
    Yes: 1 + 2 + 4 + 7 + 14 = 28
  • Palindromic numberTerm
    A number that reads the same backward and forward121
  • Twin primesTerm
    Primes that differ by 211 and 13
  • Mersenne primeTerm
    A prime of the form 2ⁿ − 17, 31, 127
  • Pi is rational or irrational?Term
    Irrational
  • √2 is rational or irrational?Term
    Irrational
  • √9 is rational or irrational?Term
    Rational (it equals 3)
  • 0.5 is rational or irrational?Term
    Rational
  • 0.333... is rational or irrational?Term
    Rational (1/3)
  • Is e rational or irrational?Term
    Irrational
  • Is zero positive or negative?Term
    Neither
  • Is zero even?Term
    Yes
  • Is 1 prime?Term
    No
  • Is 0 an integer?Term
    Yes
  • Is −4 a whole number?Term
    No
  • Is −4 an integer?Term
    Yes
  • Is 3/4 an integer?Term
    No, it is rational
  • Is every integer a rational number?Term
    Yes (n = n/1)
  • Is every rational number an integer?Term
    No
  • Is every real number rational?Term
    No
  • Ordinal numbersTerm
    First, second, third: tell position
  • Cardinal numbersTerm
    One, two, three: tell how many
  • Nominal numbersTerm
    Numbers used as names or labels, like a jersey number
  • Opposite of 7Term
    −7
  • Reciprocal of 7Term
    1/7
  • Absolute value of −7Term
    7
  • Negative of a negativeTerm
    A positive: −(−7) = 7
  • GoogolTerm
    10^100
  • GoogolplexTerm
    10 to the power of a googol
  • InfinityTerm
    Not a number; the idea of going on without end
  • Golden ratioTerm
    About 1.618, an irrational number: (1 + √5)/2

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