x(-5)x(-7)x(-2)x(-3).jpeg "(-6)x(-5)x(-7)x(-2)x(-3)")
Multiplying Negative Numbers: A Step-by-Step Guide
This article explores the multiplication of negative numbers, specifically focusing on the expression (-6) x (-5) x (-7) x (-2) x (-3).
Understanding the Rules
When multiplying numbers with the same sign (both positive or both negative), the product is positive. When multiplying numbers with different signs (one positive and one negative), the product is negative.
Applying the Rules to the Expression
Let's break down the multiplication step by step:
- (-6) x (-5) = 30: Two negative numbers multiplied result in a positive number.
- 30 x (-7) = -210: A positive number multiplied by a negative number results in a negative number.
- -210 x (-2) = 420: Two negative numbers multiplied result in a positive number.
- 420 x (-3) = -1260: A positive number multiplied by a negative number results in a negative number.
Therefore, (-6) x (-5) x (-7) x (-2) x (-3) = -1260.
Key Takeaways
- An even number of negative signs in a multiplication results in a positive product.
- An odd number of negative signs in a multiplication results in a negative product.
Remember these rules when multiplying negative numbers, and you can confidently solve even complex expressions like this one.