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Order of Operations

The calculation hierarchy works in such a way that the operation at the top of the pyramid is performed first. Two "operations" that are on the same level in the hierarchy are calculated from left to right in reading order.

Example:
8 - 6 - 4
First, you subtract 6 from 8, and then subtract 4 from the result.

BODMAS - Order of Operations

BODMAS is a common acronym used to remember the order of operations in mathematics. It stands for:

  • Brackets (Parentheses)
  • Orders (Exponents, including powers and roots)
  • Division
  • Multiplication
  • Addition
  • Subtraction

The BODMAS rule tells us the sequence in which we should solve an expression. Operations in brackets are done first, followed by exponents, and then multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Example:
For the expression:
(3+2) ⋅ 4 ^ 2 -5
You would first calculate inside the parentheses, then the exponent, followed by multiplication, and finally subtraction.