2.7 find square roots and compare real numbers day 2
- 1. Do these 4 problems-3x -215y2 – 25y-10x -28-2x + 14-3(x + 7)5y(y - 5)-7(x + 4) – 3x9 –(2x – 5)
- 2. Day Twoin Section 2.7Understanding sets by writing IF,THEN statements.Giving counter-examples if not true.
- 3. Given: No integers are irrational numbers.a. EXAMPLE 5Rewrite a conditional statement in if-then formRewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.SOLUTIONIf-then form: If a number is an integer, then it is not an irrational number.The statement is true.
- 4. Given: All real numbers are rational numbers.b. 2The statement is false. For example, is a real number but not a rational number.EXAMPLE 5Rewrite a conditional statement in if-then formIf-then form: If a number is a real number, then it is a rational number.
- 5. All square roots of perfect squares are rational number. 10.EXAMPLE 5for Example 5Rewrite a conditional statement in if-then formGUIDED PRACTICERewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.SOLUTIONGiven: All square roots of perfect squares are rational numbers.If-then form: If a number is the square root of perfect square, then it is a rational number.The statement is true.
- 6. All repeating decimals are irrational number.11.EXAMPLE 5for Example 5Rewrite a conditional statement in if-then formGUIDED PRACTICERewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.SOLUTIONGiven: All repeating decimals are rational numbers.If-then form: If a number is a repeating decimal , then it is an irrational number.The statement is false. For example, 0.333 is a repeating decimals can be written as a rational number.
- 7. Evaluate for the given value:
- 8. If the area of a square is 196 sq in, what is the length of one side?If the area of a square is 1296 ft2, what is the length of one side?
- 9. Assignment: Review VocabularyDo P. 114 (#30-43, 47, 48, 53)Look at the Quiz on P. 116 (do with partner if time)Quiz tomorrow over 2.6- 2.7Critical Vocab Words from Chapter 2 Absolute Value CoefficientConstant Terms Irrational NumberLike Terms Perfect SquareRational Numbers Real # SystemMultiplicative Inverse
- 10. Name SIX Number Sets