Final answer:
Following the order of operations principle, we first evaluate the expressions inside the parentheses, then carry out division before multiplication. The value of 'c' in the given equation is 48.
Step-by-step explanation:
The problem at hand is following the order of operations, which refers to rules that define the sequence in which operations are to be done in expressions that involve more than one operation: the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction; from left to right) is used to make remembering these rules easier.
From the question, 48 ÷ (60 – 56) (20 – 16) = c, we first solve the expressions inside the parentheses:
60 - 56 = 4
and
20 - 16 = 4.
So we substitute these into the equation, leaving us with:
48 ÷ 4 * 4 = c.
Following PEMDAS rules, we then do the division before the multiplication:
48 ÷ 4 = 12
So, 12 * 4 = c thus:
c = 48.
Learn more about order of operations