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# TechMathII - 1.1 - The Set of Real Numbers

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### TechMathII - 1.1 - The Set of Real Numbers

1. 1. Vocabulary <ul><li>Natural Numbers : or “counting numbers” </li></ul><ul><li> : 1, 2, 3, … </li></ul><ul><li>Whole Numbers : “counting numbers AND 0” </li></ul><ul><li> : 0, 1, 2, 3, … </li></ul><ul><li>Integers : All whole numbers, both positive and negative. </li></ul><ul><li> : …, -3, -2, -1, 0, 1, 2, … </li></ul>
2. 2. Vocabulary <ul><li>Rational Numbers : any number you can write as a/b, where a and b are integers and b ≠0 </li></ul><ul><li> : fractions </li></ul><ul><li> : decimals that terminate or stop </li></ul><ul><li>Irrational Numbers : no fractions, no whole numbers, no integers </li></ul><ul><li>: 1.10002111101… </li></ul><ul><li>: √91 </li></ul><ul><li>: pi </li></ul>
3. 3. Vocabulary <ul><li>Real Numbers : everything is always a real number! </li></ul><ul><li>:all numbers! </li></ul>
4. 4. Examples <ul><li>Name the set(s) of numbers to which each number belongs. </li></ul><ul><li>1) 35.99 </li></ul><ul><li>2) 5/6 </li></ul><ul><li>3) 0 </li></ul><ul><li>4) 5 1/8 </li></ul><ul><li>5) √5 </li></ul><ul><li>6) -80 </li></ul>
5. 5. You try! Name the set(s) of numbers to which each number belongs. <ul><li>1) -32 </li></ul><ul><li>2) 4/2 </li></ul><ul><li>3) √1.6 </li></ul><ul><li>4) 5/8 </li></ul>
6. 6. Inequality <ul><li>A mathematical sentence that compares the value of two expressions using an inequality symbol such as < or >. </li></ul>a ≥ b Greater than or equal to a ≠ b Is not equal to a ≤ b Less than or equal to a > b Greater than a = b Is equal to a < b Less than
7. 7. Examples <ul><li>Write in order from least to greatest. </li></ul><ul><li>1) -3/8, -1/2, -5/12 </li></ul><ul><li>2) -8/9, -7/8, -22/25 </li></ul><ul><li>3) 1/12, -2/3, -5/8 </li></ul>Step 1: Write as a decimal. Step 2: Write from least to greatest using a number line.
8. 8. You try! <ul><li>Write in order from least to greatest. </li></ul><ul><li>1) -3/4, -7/12, -5/8 </li></ul><ul><li>2) -1/3, -2/9, -3/8 </li></ul><ul><li>3) 1/8, 1/15, 3/16 </li></ul>
9. 9. Absolute Value <ul><li>-the distance away from 0 on a number line </li></ul><ul><li>Find each absolute value. </li></ul><ul><li>|12| </li></ul><ul><li>|-2/3| </li></ul><ul><li>|0| </li></ul><ul><li>|-2.9| </li></ul><ul><li>|5/8| </li></ul>
10. 10. Homework <ul><li>Real Numbers WS </li></ul>