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Lesson: Properties of Operations over the Real Numbers Mathematics • 9th Grade

In this lesson, we will learn how to solve problems involving operations and properties of operations on real numbers.

Lesson Plan

Students will be able to

  • understand and apply the following properties of addition and multiplication of real numbers:
    • closure (π‘Ž+π‘βˆˆβ„ and π‘Žπ‘βˆˆβ„),
    • commutativity (π‘Ž+𝑏=𝑏+π‘Ž and π‘Žπ‘=π‘π‘Ž),
    • associativity ((π‘Ž+𝑏)+𝑐=π‘Ž+(𝑏+𝑐) and (π‘Žβ‹…π‘)⋅𝑐=π‘Žβ‹…(𝑏⋅𝑐)),
    • identity (or neutral) elements (π‘Ž+0=π‘Ž and π‘Žβ‹…1=π‘Ž),
    • inverse elements (π‘Žβˆ’π‘Ž=0 and π‘Žβ‹…1π‘Ž=1 for π‘Žβ‰ 0),
  • understand that subtraction and division are neither associative nor commutative.

Lesson Video

Video Thumbnail
16:32

Lesson Explainer

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