How to Multiply Three Integers Using the Associative Property

Math with Mr. J

This video provides a clear, step-by-step tutorial on how to multiply three integers, covering combinations of both positive and negative numbers. Mr. J demonstrates two specific example problems, solving each one using two different methods to prove that the order of operations does not affect the final product in multiplication strings. The video reinforces the fundamental rules of integer multiplication: same signs yield a positive result, while different signs yield a negative result. Key themes include integer operations, the definition of a "product," and the associative property of multiplication. The narrator explicitly defines factors and products, and visually demonstrates how to group numbers differently using parentheses to simplify calculations. The visual aid of a chalkboard with color-coded text helps distinguish between rules and steps, making the process easy to follow for students learning to organize their mathematical thinking. For the classroom, this video is an excellent resource for introducing or reviewing 7th-grade number system standards regarding operations with rational numbers. It effectively models mathematical thinking by showing that problems can be approached in multiple ways. Teachers can use this video to transition students from multiplying two integers to more complex strings of numbers, and to introduce the practical application of the associative property to make mental math strategies more efficient.