What is the rule for multiplying two numbers with the same sign?

When multiplying two numbers that have the same sign, the outcome will always be positive. This rule holds true whether both numbers are positive or both are negative.

For instance, consider multiplying two positive numbers such as 3 and 4. The product is 12, which is positive. Now, if we take two negative numbers, such as -2 and -5, the product is also positive: (-2) * (-5) = 10.

This fundamental principle is part of the rules of arithmetic and helps to reinforce the understanding of how signs interact in multiplication. Knowing that multiplying two numbers with the same sign yields a positive result is essential when performing operations involving integers, rational numbers, and other mathematical contexts.