A handy acronym for remembering the order in which to calculate equations:
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:
- Brackets: We first evaluate the expression inside the brackets (or parentheses).
7 – 2 = 5
So, the expression becomes:
3 + 5 x 52 ÷ 3
- Indices (or exponents): We then evaluate the exponent (the power).
52 = 25
So, the expression becomes:
3 + 5 x 25 ÷ 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
- Multiplication: We then evaluate the multiplication.
5 x 8.33 = 41.67 (rounded to 2 decimal places)
So, the expression becomes:
3 + 41.67
- Addition: Finally, we evaluate the addition.
3 + 41.67 = 44.67
Therefore, the value of the expression is 44.67.