collection of many 3d numbers

The ISEE will directly and indirectly test your knowledge of number types. For example, a word problem may include rules where its values may only be integers or whole numbers.

Real Numbers (Numbers that Exists)

number-types-diagram

Natural Numbers

  • include positive numbers
  • do not include zero
  • do not include negative numbers
  • do not include decimals or fractions
Examples
    ✓   1, 2, 3, 4
    ✘   -2, 0, 2.5

Whole Numbers

  • includes positive numbers
  • includes zero
  • does not include negative numbers
  • does not include decimals or fractions
Examples
    ✓   0, 1, 2, 3, 4
    ✘   -4, -1.5, 3.7

Integers

  • includes positive numbers
  • includes zero
  • includes negative numbers
  • does not include decimals or fractions

Examples

      ✓   -2, -1, 0, 1, 2
      ✘   -4.3, -2.9, ½

Rational Numbers

  • any number that can be represented as a fraction

Examples

    ✓   -3, 4.25, 0.004
    ✘   √2, √3, π

Irrational Numbers

  • any number that cannot be represented as a fraction

Examples

    ✓   √2, √3, π
    ✘   3.14, 22/7

Imaginary Numbers (Numbers That Don’t Exist)

Imaginary Numbers

  • the square root (or even root) of a negative number
  • squaring a negative number results in a positive number, thus the square root of a negative number does not exist
  • generally represented as i = √-1

Examples

    ✓   √-2, 4√-25
    ✘   √7, √19

Complex Numbers

  • includes a real part (a) and an imaginary part (bi)
  • acts like a binomial in calculations
  • a + bi

Examples

    ✓   4 + 3i
    ✘  x3 – 3x = 14