BODMAS and types of number

BODMAS and types of number

BODMAS Rule

  • BODMAS stands for Brackets, Orders (i.e., Powers and Square Roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
  • This rule dictates the order in which operations should be carried out to solve an expression.
  • Brackets always come first in this hierarchy. Compute everything inside brackets first.
  • Orders or indices come next: any calculations involving powers or square roots are done at this stage.
  • Division and Multiplication come next and are equal in the hierarchy. These operations are performed from left to right.
  • Finally, Addition and Subtraction are also equal in hierarchy. These operations are performed from left to right.

Types of Number

Prime Numbers

  • A prime number is any number that has only two distinct natural number divisors: 1 and itself.
  • Examples are 2, 3, 5, 7, 11, 13. Note, 1 is not a prime number.

Composite Numbers

  • A composite number is any number that is greater than one and is not a prime number.
  • In other words, a composite number has more than two distinct natural number divisors.
  • Examples include 4, 6, 8, 9, 10.

Rational Numbers

  • A rational number can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
  • Examples are -7, 0, 1/2, -4/9.

Irrational Numbers

  • An irrational number cannot be expressed as a fraction or quotient of two integers. Their decimal expansion is non-repeating and non-terminating.
  • Notable examples include the square root of 2 and π.

Real Numbers

  • Real numbers include all the counting numbers, fractions, terminating and recurring decimals, and irrational numbers.
  • In other words, if a number is either rational or irrational, it is a real number.

Square Numbers and Cube Numbers

  • A square number is the result when a number has been multiplied by itself, while a cube number is a number multiplied by itself twice.
  • For instance, 4 (2x2) and 9 (3x3) are examples of square numbers, while 8 (2x2x2) and 27 (3x3x3) are examples of cube numbers