Evaluate each expression. See Example 5. 18 - 4² + 5 - (3 - 7)

검증된 단계별 안내

Identify the order of operations to evaluate the expression: parentheses first, then exponents, followed by multiplication/division, and finally addition/subtraction.

Evaluate the expression inside the parentheses: calculate $(3 - 7)$.

Calculate the exponent: evaluate \$4^2$.

Substitute the results from steps 2 and 3 back into the expression, so it becomes $18 - \text{(result of }4^2\text{)} + 5 - \text{(result of }3 - 7\text{)}$.

Perform the addition and subtraction from left to right to simplify the expression completely.

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 (PEMDAS/BODMAS)

The order of operations dictates the sequence in which parts of a mathematical expression are evaluated: Parentheses first, then Exponents, followed by Multiplication and Division (left to right), and finally Addition and Subtraction (left to right). This ensures consistent and correct results.

Exponents

Exponents represent repeated multiplication of a base number. For example, 4² means 4 multiplied by itself once (4 × 4 = 16). Evaluating exponents before other operations is crucial to correctly simplifying expressions.

Simplifying Expressions with Parentheses

Parentheses indicate which parts of an expression should be evaluated first. Simplifying inside parentheses can change the overall value of the expression, so it is important to handle these sections carefully before proceeding with other operations.