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# 1.1 and 1.2

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### 1.1 and 1.2

1. 1. SWBAT define the set of rational numbers SWBAT identify subsets of rational numbers SWBAT write rational numbers in equivalent forms
2. 2. Identifying Types of Numbers
3. 3. Rational Numbers <ul><li>Rational Numbers : a number that can be written in fractional form, a/b where a and b are integers and b ≠ 0 </li></ul><ul><li>A small submarine descended to a depth of 2 ¼ miles and then ascended 3/8 miles. These changes can be written as signed (positive or negative) numbers </li></ul><ul><ul><li>Descended means _______________ </li></ul></ul><ul><ul><li>Ascended means ___ ______________ </li></ul></ul>
4. 4. Types of Rational Numbers
5. 5. Subset Relationship <ul><li>The Venn diagram shows how subsets of the set of rational numbers, Q, are related </li></ul>
6. 7. Types of decimal forms <ul><li>Terminating Decimal – if the quotient ha a remainder of zero </li></ul><ul><li>Repeating Decimal —if the quotient has a digit or group of digits that repeat without end </li></ul>
7. 8. Write in decimal form
8. 9. SWBAT graph rational numbers on a number line SWBAT identify additive inverses SWBAT simplify rational numbers in absolute value
9. 10. Number Line Activity
10. 11. Graphing Rational Numbers
11. 12. Additive Inverse Property <ul><li>Additive Inverse (opposites) – two rational numbers that are the same distance from zero on the number line, but on opposite sides of zero </li></ul><ul><ul><li>The sum of a rational number and its additive inverse is 0 </li></ul></ul><ul><li>Examples </li></ul><ul><ul><li>1 and ─ 1 </li></ul></ul><ul><ul><li>2.5 and ─ 2.5 </li></ul></ul>
12. 13. Additive Inverse Examples
13. 14. Absolute Value
14. 15. Absolute Value Examples
15. 16. Examples