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Understanding Identity and Inverse in Mathematics: A Quick Guide

This resource covers the fundamental concepts of additive and multiplicative identities, as well as the definitions of additive and multiplicative inverses. It includes important properties such as the Commutative Property of Multiplication and outlines the rules for dividing and multiplying integers. Students are asked to fill in planners and homework sheets, showing all their work and obtaining signatures. Additionally, the warm-up questions prompt critical thinking about these essential math principles.

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Understanding Identity and Inverse in Mathematics: A Quick Guide

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  1. Quick Start Expectations a + 0 = a 0 a x 1 = a 1 Fill in planner and HWRS HW: p. 66-74 #26-35 Show all your work! Get a signatureon your HWRS Warm Up in your journal: What is the Additive Identity? What is the Multiplicative Identity? What is the definition of Additive Inverse? What is the definition of Multiplicative Inverse? The sum of a number and its oppositeis always zero The reciprocalof the number. A number times its multiplicative inverse is one

  2. Commutative Property of Multiplication Multiplicative Inverse Property Multiplicative Identity

  3. Dividing Integers - Rules Positive ÷Positive = Positive Positive ÷ Negative= Negative Negative÷Positive = Negative Negative÷Negative= Positive

  4. Multiplying Integers - Rules Positive x Positive = Positive Positivex Negative = Negative Negative x Positive= Negative Negativex Negative= Positive

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