Properties of Real Numbers in Algebra 2
Explore the fundamental properties of real numbers in Algebra 2, focusing on additive and multiplicative identities, inverses, and operations. Learn about the additive and multiplicative properties, including the identity and inverse properties of real numbers. Dive into concepts such as additive and multiplicative inverses, and understand their significance in mathematical operations.
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1 1- -2 2 Properties of Real Numbers 08/23/2017 Agenda Ticket in the Door Format your paper for Cornell Notes No Ticket in the Door Current Lesson: Additive Inverse, Multiplicative Inverse Work Period: Independent Work Holt Algebra 2
1 1- -2 2 Properties of Real Numbers The four basic math operations are addition, subtraction, multiplication, and division. Because subtraction is addition of the opposite and division is multiplication by the reciprocal, the properties of real numbers focus on addition and multiplication. Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Properties Real Numbers Identities and Inverses For all real numbers n, Additive Identity Property The sum of a number and 0, the additive identity, is the original number. WORDS 3 + 0 = 3 NUMBERS n + 0 = 0 + n = n ALGEBRA Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Properties Real Numbers Identities and Inverses For all real numbers n, Multiplicative Identity Property The product of a number and 1, the multiplicative identity, is the original number. WORDS NUMBERS n 1 = 1 n = n ALGEBRA Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Properties Real Numbers Identities and Inverses For all real numbers n, Additive Inverse Property The sum of a number and its opposite, or additive inverse, is 0. WORDS 5 + ( 5) = 0 NUMBERS n + ( n) = 0 ALGEBRA Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Properties Real Numbers Identities and Inverses For all real numbers n, Multiplicative Inverse Property The product of a nonzero number and its reciprocal, or multiplicative inverse, is 1. WORDS NUMBERS ALGEBRA Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Recall from previous courses that the opposite of any number a is a and the reciprocal of any nonzero number a is . Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Example 1A: Finding Inverses Find the additive and multiplicative inverse of each number. 12 additive inverse: 12 The opposite of 12 is 12. Check 12 + 12 = 0 The Additive Inverse Property holds. multiplicative inverse: The reciprocal of 12 is . The Multiplicative Inverse Property holds. Check Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Example 1B: Finding Inverses Find the additive and multiplicative inverse of each number. additive inverse: The opposite of is . multiplicative inverse: The reciprocal of is Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Check It Out! Example 1A Find the additive and multiplicative inverse of each number. 500 additive inverse: 500 The opposite of 500 is 500. Check 500 + ( 500) = 0 The Additive Inverse Property holds. The reciprocal of 500 is . multiplicative inverse: The Multiplicative Inverse Property holds. Check Holt Algebra 2
1 1- -2 2 Properties of Real Numbers Guided Practice Holt Algebra 2
