Evaluate each expression. See Example 5. 6 • 3 - 12 ÷ 4

검증된 단계별 안내

Identify the order of operations to evaluate the expression correctly. Remember the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Rewrite the expression clearly: \(6 \times 3 - 12 \div 4\).

Perform the multiplication and division first, moving from left to right. Calculate \(6 \times 3\) and \(12 \div 4\) separately.

Substitute the results of the multiplication and division back into the expression, so it becomes a simpler expression involving only addition or subtraction.

Finally, perform the subtraction to find the value of the expression.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Order of Operations

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed to ensure consistent results. The standard hierarchy is parentheses first, then exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Multiplication and Division

Multiplication and division are inverse operations and have the same precedence level. When both appear in an expression, they are evaluated from left to right. For example, in the expression 6 × 3 - 12 ÷ 4, multiplication and division must be handled before subtraction.

Subtraction

Subtraction is the operation of finding the difference between numbers and has lower precedence than multiplication and division. It is performed after all multiplication and division operations are completed, following the left-to-right rule for addition and subtraction.