The "plus minus divide multiply rule" refers to the order of operations in mathematics, commonly known as BODMAS or PEMDAS. This rule dictates the sequence in which mathematical operations should be performed to ensure consistency in calculations.
Understanding the Order of Operations
The reference provided explains that division and multiplication must be completed before addition and subtraction. The BODMAS or PEMDAS rules expand upon this to include brackets (or parentheses) and orders (powers or roots):
- Brackets (or Parentheses)
- Orders (or Exponents)
- Division and Multiplication (from left to right)
- Addition and Subtraction (from left to right)
It's important to note that division and multiplication, and addition and subtraction, have equal precedence and are performed from left to right.
BODMAS Explained
Here's a breakdown of the BODMAS rule:
| Abbreviation | Operation | Example |
|---|---|---|
| B | Brackets | (2 + 3) * 4 |
| O | Orders (Powers/Roots) | 23 or √9 |
| D | Division | 10 ÷ 2 |
| M | Multiplication | 5 * 3 |
| A | Addition | 6 + 4 |
| S | Subtraction | 7 - 2 |
Example Using BODMAS
As the provided reference gives the example: 47 + 54 ÷ 9, the order of operation dictates that we must perform the division before the addition. Therefore, 54 ÷ 9 = 6 then 47 + 6 = 53.
- Division: 54 ÷ 9 = 6
- Addition: 47 + 6 = 53
If we incorrectly added first, the result would be 101 ÷ 9 = 11.2.
Practical Application
Understanding the "plus minus divide multiply rule" is crucial in any mathematical calculation. It avoids incorrect answers, especially when dealing with complex equations. For example, in coding and financial calculations, incorrect order of operation can lead to significant problems.
Key Takeaways
- The "plus minus divide multiply rule" is an abbreviation of the order of operations and is also known as BODMAS or PEMDAS.
- Brackets (Parentheses) and Orders (Exponents) must be evaluated first.
- Division and Multiplication are done next, from left to right.
- Addition and Subtraction are completed last, from left to right.
- Adhering to these rules ensure accuracy in mathematical calculations.
