Find each product or quotient where possible. -0.5(-0.6)
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1
Identify the operation: This problem involves multiplication of two negative numbers.
Recall the rule for multiplying negative numbers: The product of two negative numbers is positive.
Multiply the absolute values: Calculate the product of 0.5 and 0.6.
Apply the sign rule: Since both numbers are negative, the result will be positive.
Combine the results: The final product is the positive value obtained from the multiplication.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Real Numbers
Multiplication of real numbers involves combining two numbers to produce a product. When multiplying two negative numbers, the result is positive. For example, multiplying -0.5 by -0.6 results in a positive value, as the negatives cancel each other out.
Understanding the properties of operations, such as the associative, commutative, and distributive properties, is essential in algebra. These properties help simplify expressions and perform calculations more efficiently. For instance, the commutative property states that the order of multiplication does not affect the product.
The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the given expression, multiplication is performed before any other operations.