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

Verified step by step guidance

1. Identify the numbers involved in the multiplication: -0.06 and 0.4.
2. Recall the rule for multiplying two numbers: Multiply their absolute values and then apply the sign rule.
3. Calculate the product of the absolute values: 0.06 \times 0.4.
4. Apply the sign rule: Since one number is negative and the other is positive, the product will be negative.
5. Combine the results from the previous steps to express the product as a negative number.

Key Concepts

Multiplication of Decimals

Multiplying decimals involves multiplying the numbers as if they were whole numbers and then placing the decimal point in the product. The total number of decimal places in the product should equal the sum of the decimal places in the factors. For example, in -0.06 and 0.4, the product is calculated as 6 times 4, which equals 24, and since there are two decimal places in total, the final answer is -0.024.

Negative Numbers in Multiplication

When multiplying a negative number by a positive number, the product is always negative. This is a fundamental rule in arithmetic that helps maintain consistency in mathematical operations. In the case of -0.06 and 0.4, the negative sign from -0.06 ensures that the final product is negative, resulting in -0.024.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which different mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression -0.06(0.4), multiplication is performed first, as there are no parentheses or exponents involved.