Solving Mathematical Expressions with Order of Operations

To find the value of a mathematical expression like 96 - 4 of (18 - 13) + 4 × 7, we need to follow the correct order of operations. This is often remembered using acronyms like BODMAS or PEMDAS.

• Brackets (or Parentheses)
• Of (or Exponents)
• Division and Multiplication (from left to right)
• Addition and Subtraction (from left to right)

Let's apply this rule to the given expression: $96 - 4 \text{ of } (18 - 13) + 4 \times 7$.

Step-by-Step Calculation using BODMAS

We will evaluate the expression step by step following the BODMAS rule.

1. Solve the expression inside the Brackets:

   The expression inside the brackets is $(18 - 13)$.

   $18 - 13 = 5$

   The expression now becomes: $96 - 4 \text{ of } 5 + 4 \times 7$

2. Solve 'Of':

   The term 'of' in mathematics often means multiplication. So, $4 \text{ of } 5$ means $4 \times 5$.

   $4 \times 5 = 20$

   The expression now becomes: $96 - 20 + 4 \times 7$

3. Perform Multiplication:

   Next, we look for multiplication or division. We have $4 \times 7$.

   $4 \times 7 = 28$

   The expression now becomes: $96 - 20 + 28$

4. Perform Addition and Subtraction:

   Finally, we perform addition and subtraction from left to right.

   First, subtraction: $96 - 20 = 76$

   The expression is now: $76 + 28$

   Next, addition: $76 + 28 = 104$

Thus, the value of the expression $96 - 4 \text{ of } (18 - 13) + 4 \times 7$ is 104.

Revision Table: Order of Operations (BODMAS/PEMDAS)

Additional Information on Mathematical Operations

Understanding the correct order of operations is crucial for solving mathematical expressions accurately. If the order is not followed, the result will likely be incorrect.

• Multiplication and Division have the same priority, and you perform whichever comes first from the left.
• Similarly, Addition and Subtraction have the same priority, and you perform whichever comes first from the left after multiplication and division are done.
• The term 'of' is often used in percentage calculations or fractions (e.g., 50% of 100, $\frac{1}{2}$ of 10), and it implies multiplication.