Evaluate each expression. -4 ∙ 5³

검증된 단계별 안내

Identify the expression to evaluate: $-4 \times 5^{3}$.

Recall the order of operations (PEMDAS): exponents are evaluated before multiplication.

Calculate the exponent part first: \$5^{3}$ means $5 \times 5 \times 5$.

Multiply the result of the exponent by $-4$: $-4 \times (5^{3})$.

Write the final expression ready for evaluation: $-4 \times 125$ (since $5^{3} = 125$).

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. Typically remembered by PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), it requires evaluating exponents before multiplication.

Exponents

Exponents indicate how many times a base number is multiplied by itself. For example, 5³ means 5 multiplied by itself three times (5 × 5 × 5), which equals 125. Understanding exponents is essential for correctly simplifying expressions involving powers.

Multiplication of Integers

Multiplication of integers involves combining numbers with their signs. Multiplying a negative number by a positive number results in a negative product. In this problem, -4 multiplied by 125 results in -500, demonstrating the rule for multiplying integers with different signs.