Find each product or quotient where possible. -0.06(0.4)

검증된 단계별 안내

Identify the operation: The problem asks to find the product of -0.06 and 0.4, which means we need to multiply these two numbers.

Rewrite the multiplication in mathematical form: \(-0.06 \times 0.4\).

Convert the decimals to fractions or work directly with decimals: For example, \(-0.06\) can be seen as \(-\frac{6}{100}\) and \(0.4\) as \(\frac{4}{10}\), or multiply directly as decimals.

Multiply the absolute values: Calculate \(0.06 \times 0.4\) by multiplying the numbers ignoring the negative sign for now.

Determine the sign of the product: Since one number is negative and the other is positive, the product will be negative.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

46s

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주요 개념

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

Multiplication of Decimals

Multiplying decimals involves multiplying the numbers as if they were whole numbers, then placing the decimal point in the product. The total number of decimal places in the product equals the sum of the decimal places in the factors. For example, multiplying 0.06 (two decimal places) by 0.4 (one decimal place) results in a product with three decimal places.

Handling Negative Numbers in Multiplication

When multiplying numbers, the sign of the product depends on the signs of the factors. Multiplying a negative number by a positive number results in a negative product. Here, -0.06 multiplied by 0.4 will yield a negative result because one factor is negative.

Product and Quotient Operations

The problem asks for the product or quotient where possible, meaning multiplication or division should be performed if defined. Understanding when these operations are valid and how to compute them correctly is essential. In this case, multiplication is straightforward and defined for all real numbers.