When evaluating arithmetic expressions, it is important to understand the order of operations. The order of operations tells us the sequence in which we should perform mathematical operations within a formula.
In the given formula "30 divided by 5 times 6," the order of operations tells us which operation to perform first. The most common mnemonic device to remember the order of operations is BEDMAS or PEMDAS.
B - Brackets (Parentheses)
E - Exponents (Powers and Roots)
D - Division
M - Multiplication
A - Addition
S - Subtraction
According to this order, we perform multiplication and division before addition and subtraction. Within multiplication and division, we evaluate operations from left to right.
So, applying the order of operations to the given formula:
1. Divide 30 by 5: 30 รท 5 = 6
2. Multiply the result by 6: 6 ร 6 = 36
Thus, the answer to the formula "30 divided by 5 times 6" is 36.