Evaluate each expression. 2∙5 - 10÷12

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Identify the expression to evaluate: \(2*5 - 10/12\).

Recall the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, perform the multiplication: calculate \(2*5\).

Next, perform the division: calculate \(10/12\).

Finally, subtract the result of the division from the result of the multiplication: \((2*5) - (10/12)\).

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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 determines the sequence in which mathematical operations are performed. It is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Multiplication and division are performed before addition and subtraction, moving from left to right.

Multiplication and Division

Multiplication and division are basic arithmetic operations that are performed before addition and subtraction according to the order of operations. When both appear in an expression, they are evaluated from left to right. For example, in 2*5 - 10/12, multiply 2 by 5 first, then divide 10 by 12.

Simplifying Fractions and Decimals

When division results in a fraction or decimal, it is important to simplify or approximate the value for clarity. For instance, 10 divided by 12 can be expressed as the fraction 5/6 or approximately 0.833. This helps in accurately completing the evaluation of the expression.

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