Evaluate each expression. See Example 5. -4(9 - 8) + (-7) (2)³

검증된 단계별 안내

First, simplify the expression inside the parentheses. Calculate the value of $9 - 8$.

Next, evaluate the exponentiation part of the expression. Calculate \$2^3$.

Multiply the results from the previous steps by their respective coefficients: multiply $-4$ by the result of $9 - 8$, and multiply $-7$ by the result of \$2^3$.

After performing the multiplications, add the two products together to combine the terms.

Finally, simplify the sum to get the value of the entire expression.

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주요 개념

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

Order of Operations

The order of operations dictates the sequence in which mathematical operations are performed: parentheses first, then exponents, followed by multiplication and division, and finally addition and subtraction. This ensures consistent and correct evaluation of expressions.

Exponents

Exponents represent repeated multiplication of a base number. For example, 2³ means multiplying 2 by itself three times (2 × 2 × 2 = 8). Understanding exponents is essential for correctly simplifying expressions involving powers.

Multiplication of Negative Numbers

Multiplying negative numbers follows specific rules: a negative times a positive yields a negative, and a negative times a negative yields a positive. Recognizing these rules helps accurately simplify expressions with negative coefficients.