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2.2 and 2.3. More on arithmetic. Properties for addition. Identity Property:. There is a unique real number 0 such that. for every real number a. a + 0 = a. and 0 + a = a. Prop. Of Opposites:. For every real number a, there is a unique. real number. –. a such that. a + (. -.

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## 2.2 and 2.3

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**2.2 and 2.3**More on arithmetic**Properties for addition**Identity Property: There is a unique real number 0 such that for every real number a a + 0 = a and 0 + a = a Prop. Of Opposites: For every real number a, there is a unique real number – a such that a + ( - a) = 0 and ( - a) + a = 0 Property of the Opposite For all real numbers a and b of a Sum: - (a + b) = ( - a) + ( - b)**Mishaps**• -4 + -4 • 4 - (-4) • -(-4) + 4 • -(-4) – 4 • -(4 + 4)**How would you rewrite using the communitive property?**4-3 200-(-300) Subtraction is not communitive…you must convert to addition by using the property of opposites!!!**What would be a great way to use Associative and Communitive**properties to do these mentally? -16 + (-9) + 8 + 25 3.7 + 4.2 –x + y +6.3 + 12.8 -[24 + (-a)] + [-(-2 + a)]**Example**• A submarine descended to a level 230 m below the surface of the ocean. Later, it ascended 95 m and then dove 120 m. What was the new depth of the submarine?**SAT score break down for 1997 and 1998**Organize Data for the Verbal Portion Notice that when we compare, they have the same format!!! Organize Data for the Math Portion**Compare the overall SAT scores for the years 1997-1998**between girls and boys. Organized Data for the Verbal Portion Organized Data for the Math Portion Totals What are some things that need to be true in order to combine data?**Matrix:**• Table of numbers without the headers. • Usually represented with capital letters. • Classified by its dimensions: rows x columns (m x n)**Find two matrices comparing Matinee and Evening. Also**determine the “total” matrix.

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