Identify the operations in the expression: multiplication and division.
Perform the multiplication first: calculate \(2 \times 5\).
Next, perform the division: calculate \(10 \div 12\).
Simplify the division result, if possible, by reducing the fraction.
Subtract the result of the division from the result of the multiplication.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression 2*5 - 10/12, operations must be executed in this specific order to arrive at the correct answer.
Multiplication and division are fundamental arithmetic operations that are performed from left to right when they appear in an expression. In the given expression, 2*5 is calculated first, followed by the division of 10 by 12. Understanding how to handle these operations correctly is essential for evaluating expressions accurately.
Subtraction is the operation of finding the difference between two numbers. In the expression 2*5 - 10/12, after performing the multiplication and division, the result of the division is subtracted from the result of the multiplication. Recognizing how subtraction interacts with other operations is crucial for solving the expression correctly.