Final answer:
The order of operations prescribes the sequence in which mathematical operations should be performed to get the correct result. Using this rule, the result of the operation 52.4 - 5.42 / 5(4) is 52.129.
Step-by-step explanation:
The subject of this question is order of operations, which is a rule used in mathematics to solve expressions and equations involving more than one operation. According to this rule, the operations should be performed in the following order: Parentheses, Exponents (i.e., Powers and Square Roots, etc.), Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
To solve your equation, namely, 52.4 - 5.42 / 5(4), let's follow this order of operations: First, carry out the multiplication: 5*4 = 20. The equation then becomes 52.4 - 5.42 / 20. Then, perform the division: 5.42 / 20 = 0.271. Finally, do the subtraction: 52.4 - 0.271 = 52.129. So, the result of the operation 52.4 - 5.42 / 5(4) is 52.129.
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