Evaluate each expression for p = -4, q = 8, and r = -10. See Example 6. 3p - 2r

검증된 단계별 안내

Identify the given expression to evaluate: \(3p - 2r\).

Substitute the given values into the expression: replace \(p\) with \(-4\) and \(r\) with \(-10\), so the expression becomes \(3(-4) - 2(-10)\).

Apply the multiplication operations: calculate \(3 \times (-4)\) and \(-2 \times (-10)\) separately.

Simplify the expression by performing the multiplications and then combine the results using subtraction.

Write the simplified expression as the final evaluated result (without calculating the numeric value here).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Substitution of Variables

Substitution involves replacing variables in an expression with given numerical values. This is essential for evaluating expressions like 3p - 2r by directly inserting the values of p and r to simplify and find the result.

Order of Operations

The order of operations dictates the sequence in which mathematical operations are performed, typically parentheses, exponents, multiplication/division, and addition/subtraction. Correctly applying this ensures accurate evaluation of expressions such as 3p - 2r.

Multiplication of Integers

Multiplying integers, including negative numbers, follows specific rules: the product of two negatives is positive, and the product of a positive and a negative is negative. Understanding this is crucial when calculating terms like 3p and 2r with negative values.