Math Example--Numerical Expressions--Multiplying Integers: Example 7

Topic

Numerical Expressions

Description

Example 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60.

This collection of examples explores various scenarios of integer multiplication, helping students understand the rules governing the multiplication of positive and negative numbers. By presenting different combinations, including multiple factors and negative numbers in various positions, students can recognize patterns and develop a solid foundation for more complex mathematical operations.

Exposure to multiple worked-out examples is crucial for students to fully grasp mathematical concepts. As they encounter various problems solved using consistent principles, students can build a deeper understanding and become more proficient at solving problems independently. The slight variations in examples, such as changing the position of negative numbers, help students develop flexibility in their problem-solving approaches.

Teacher's Script: Notice in this example that the negative number is in the middle. Remember, the order of multiplication doesn't change the result. Whether the negative number is first, last, or in the middle, the product will still be negative because we have an odd number of negative factors. This reinforces the importance of focusing on the number of negative factors rather than their position.

For a complete collection of math examples related to Numerical Expressions click on this link: Math Examples: Multiplying Integers Collection.