# Priority of Arithmetic Operations

## Priority of Arithmetic Operations

Conventions that determine the order in which we operate when finding the value of a sequence of operations.

The order that we must follow is:
(1) Solve operations in parentheses (P)
(2) Solve exponents (E)
(3) Solve multiplication and division from left to right (MD)
(4) Solve addition and subtraction from left to right (AS)

A mnemonic device to remember this order is the acronym PEMDAS.

### Example

\begin{aligned} 28 – 3(12 ÷ 4) – 4^{2} &= 28 &&– 3 × 3 &&&– 4^{2}\\ &= 28 &&– 3 × 3 &&&– 16\\ &= 28 &&– 9 &&&– 16\\ &= 19 &&&– 16\\ &= 3 \end{aligned}