Question

Simplify. $$ 3 \cdot(-2) \cdot(-1) \cdot(-1) $$

   Simplify.
$$
3 \cdot(-2) \cdot(-1) \cdot(-1)
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 35

Instant Answer

Solved by Expert Julie Silva

05/18/2020

Step 1

The multiplication of a positive number and a negative number is always negative. So, 3 times -2 equals -6. $$ 3 \cdot(-2) = -6 $$ Show more…

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Simplify. $$ 3 \cdot(-2) \cdot(-1) \cdot(-1) $$

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Key Concepts

Associative and Commutative Properties

These properties provide flexibility in the order and grouping of factors when multiplying. The associative property allows numbers to be multiplied in any grouping without changing the product, while the commutative property allows the factors to be rearranged. These properties are crucial in simplifying expressions and making complex multiplication more manageable.

Multiplication of Integers

This concept involves the operation of multiplying whole numbers, which can include both positive and negative values. It is fundamental in arithmetic and lays the groundwork for more advanced algebraic manipulations. Understanding how integers multiply allows one to correctly simplify expressions and solve equations involving whole numbers.

Multiplication Rules for Negative Numbers

When multiplying numbers with different signs, special rules apply. Specifically, the product of a positive and a negative number is negative, and the product of two negative numbers is positive. Mastery of these rules is essential to accurately perform operations that involve negative integers, and they are often used in many areas of mathematics.

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