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# 2.7 find square roots and compare real numbers day 2

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### 2.7 find square roots and compare real numbers day 2

1. 1. Do these 4 problems<br />-3x -21<br />5y2 – 25y<br />-10x -28<br />-2x + 14<br />-3(x + 7)<br />5y(y - 5)<br />-7(x + 4) – 3x<br />9 –(2x – 5)<br />
2. 2. Day Twoin Section 2.7<br />Understanding sets by writing IF,THEN statements.<br />Giving counter-examples if not true.<br />
3. 3. Given: No integers are irrational numbers.<br />a. <br />EXAMPLE 5<br />Rewrite a conditional statement in if-then form<br />Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.<br />SOLUTION<br />If-then form: If a number is an integer, then it is not an irrational number.<br />The statement is true.<br />
4. 4. Given: All real numbers are rational numbers.<br />b. <br /><br />2<br />The statement is false. For example, is a real number but not a rational number.<br />EXAMPLE 5<br />Rewrite a conditional statement in if-then form<br />If-then form: If a number is a real number, then it is a rational number.<br />
5. 5. All square roots of perfect squares are rational <br />number. <br />10.<br />EXAMPLE 5<br />for Example 5<br />Rewrite a conditional statement in if-then form<br />GUIDED PRACTICE<br />Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.<br />SOLUTION<br />Given: All square roots of perfect squares are rational numbers.<br />If-then form: If a number is the square root of perfect square, then it is a rational number.<br />The statement is true. <br />
6. 6. All repeating decimals are irrational number.<br />11.<br />EXAMPLE 5<br />for Example 5<br />Rewrite a conditional statement in if-then form<br />GUIDED PRACTICE<br />Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.<br />SOLUTION<br />Given: All repeating decimals are rational numbers.<br />If-then form: If a number is a repeating decimal , then it is an irrational number.<br />The statement is false. For example, 0.333 is a repeating decimals can be written as a rational number.<br />
7. 7. Evaluate for the given value:<br />
8. 8. If the area of a square is 196 sq in, what is the length of one side?<br />If the area of a square is 1296 ft2, what is the length of one side?<br />
9. 9. Assignment: Review Vocabulary<br />Do P. 114 (#30-43, 47, 48, 53)Look at the Quiz on P. 116 (do with partner if time)<br />Quiz tomorrow over 2.6- 2.7<br />Critical Vocab Words from Chapter 2 <br />Absolute Value Coefficient<br />Constant Terms Irrational Number<br />Like Terms Perfect Square<br />Rational Numbers Real # System<br />Multiplicative Inverse<br />
10. 10. Name SIX Number Sets<br />