BIDMAS

Therefore in the following equation

Evaluate the expression 3 + 5 x (7 – 2)² ÷ 3

Using BIDMAS, we perform the operations in the following order:

1. Brackets: We first evaluate the expression inside the brackets (or parentheses).

7 – 2 = 5

So, the expression becomes:

3 + 5 x 5² ÷ 3

2. Indices (or exponents): We then evaluate the exponent (the power).

5² = 25

So, the expression becomes:

3 + 5 x 25 ÷ 3

3. Division: We then evaluate the division.

25 ÷ 3 = 8.33 (rounded to 2 decimal places)

So, the expression becomes:

3 + 5 x 8.33

4. Multiplication: We then evaluate the multiplication.

5 x 8.33 = 41.67 (rounded to 2 decimal places)

So, the expression becomes:

3 + 41.67

5. Addition: Finally, we evaluate the addition.

3 + 41.67 = 44.67

Therefore, the value of the expression is 44.67.