Solving the Expression: 3 × 3 - 3 × 3

When dealing with mathematical expressions like 3 × 3 - 3 × 3, it's essential to follow the proper order of operations to arrive at the correct solution. This article will explore how to solve this expression using both the PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right) and BODMAS (Brackets, Order, Division and Multiplication from left to right, Addition and Subtraction from left to right) methods.

Using PEMDAS

The expression 3 × 3 - 3 × 3 requires us to follow the order of operations as stated by PEMDAS.

First, perform the multiplication: 3 × 3 9 Now rewrite the expression: 9 - 3 × 3 Next, perform the multiplication again: 9 - 9 Finally, perform the subtraction: 9 - 9 0

Thus, the final result is 0.

Using BODMAS

The expression 3 × 3 - 3 × 3 also follows the BODMAS rule:

First, perform the multiplication: 3 × 3 9 Now rewrite the expression: 9 - 9 Finally, perform the subtraction: 9 - 9 0

The final result is 0.

Examples and Additional Scenarios

Let's consider a couple of additional examples to enhance our understanding of the order of operations.

Additional Example 1

Solve the expression: 333 - 33.

Using BODMAS: 333 - 33 300 Using PEMDAS: 333 - 33 300

The final result is 300.

Additional Example 2

Solve the expression: 33 × 3 - 33.

Using PEMDAS: 33 × 3 - 33 99 - 33 66 Using BODMAS: 33 × 3 - 33 99 - 33 66

The final result is 66.

Additional Example 3

Solve the expression: 33 × 3 - 33.

Using PEMDAS: 33 × 3 - 33 99 - 33 66 Using BODMAS: 33 × 3 - 33 99 - 33 66

The final result is 66.

Understanding the order of operations is crucial for solving mathematical expressions accurately. By following either PEMDAS or BODMAS, we can ensure that we arrive at the correct solution every time.