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Math Example--Numerical Expressions--Multiplying Integers: Example 11

Math Example--Numerical Expressions--Multiplying Integers: Example 11

Example 11: Multiplying Integers

Topic

Numerical Expressions

Description

Example 11 shows the multiplication of three integers: -7, -5, and 8. The solution demonstrates that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, (-7) × (-5) × 8 = 280.

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 of positive and negative integers, 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 order and values of factors, help students develop flexibility in their problem-solving approaches.

Teacher's Script: Here's another example with two negative numbers and one positive number. Notice how we consistently get a positive result when we have an even number of negative factors. This example also shows that the specific values of the numbers don't change this rule - whether we're dealing with small or large numbers, the rule for the sign of the product remains the same.

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

Common Core Standards CCSS.MATH.CONTENT.6.NS.C.5
Grade Range 6 - 8
Curriculum Nodes Algebra
    • The Language of Math
        • Numerical Expressions
Copyright Year 2014
Keywords integers, integer, positive numbers, negative numbers, positive, negative, zero, multiplying integers