Notations and Symbols a,b∈𝐼, then a + b ∈ 𝐼, 𝑎 × 𝑏 ∈ 𝐼. Example 1: Example 2: Notations and Symbols Commutative Property Changing the order of two numbers that are either being added or multiplied does not change its value. a, b ∈ 𝐼 , then a + b ∈ 𝐼, 𝑎 × 𝑏 ∈ 𝐼 For addition: For multiplication: Example 1: Example 2: Notations and Symbols For addition: Associative Property Changing the grouping of numbers that are either being added or multiplied does not change its value. Example 1: Example 2: Notations and Symbols Example 1: Example 2: Identity Property Notations and Symbols Additive Identity - states that the sum is the of any number and 0 is the given number. Zero,”0” is the additive identity. Additive Identity is 0. Multiplicative Identity - states that the product of any number and 1 is the given number. One, “1” is the multiplicative identity. Multiplicative Identity is 1. Example 1: Example 2: Example 1: Inverse Property In Addition - states that the sum of any number additive inverse and its additive inverse, is zero. The additive inverse of the number a is –a. In Multiplication - states that the product of any number and its multiplicative inverse or reciprocal, is 1. The multiplicative inverse of the 1 number a is . Notations and Symbols The Additive Inverse is the negation of the element. 𝑎 The Multiplicative Inverse is one divided by the element. Example 1: Example 2: Thank You & God Bless !!!!! By : Airen T. Magadan