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2.7 find square roots and compare real numbers day 1
- 1. Finding Square Roots and Comparing Real Numbers Section 2.7 P. 110
- 2. Objectives Evaluate & approximate square roots Looking at the number “sets” again and understanding the members of each set.
- 3. Square root: If b2 = a, then b is a square root of a Example: If 32 = 9, then 3 is a square root of 9.
- 4. Vocabulary: Positive square root Negative square root Radicand RadicalSymbols: Undefined – why?? ±
- 5. More vocabulary: Perfect Squares – numbers whose square roots are integers or quotients of integers Irrational Number – a number that cannot be written as the quotient of two integers (it never terminates or repeats) REALS - the set of all rational and irrational numbers. (see P. 112)
- 6. Evaluate & approximate square roots
- 7. Evaluate & approximate square roots Approximate the square root to the nearest integer
- 8. Looking at the number “sets” again and understanding the members of each set Counting
- 9. Looking at the number “sets” again and understanding the members of each set Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , , – . Integer? Real Number? Whole Number? Irrational Number? Rational Number? Number 24 81 100 No No Yes No Yes 24 Yes Yes Yes No Yes 100 No Yes No Yes Yes 81 EXAMPLE 3
- 10. 9 9 9. Tell whether each of the following numbers. A rational number,an irrational number, an integer, or a whole number: ,5.2, 0, , 4.1,. There order the number from least to greatest. 2 2 – – 7 20 20 4.4 = 0 7 2.6 – = 4.1 –2 –8 –1 4 3 1 2 –3 –4 –5 –6 –7 –9 5 0 5.2 Looking at the number “sets” again and understanding the members of each set EXAMPLE 4 Graph and order real numbers GUIDED PRACTICE SOLUTION Begin by graphing the numbers on a number line.
- 11. Looking at the number “sets” again and understanding the members of each set , 4 4 , , Order the numbers from least to greatest: – 3 3 . , –2.5 . 5 13 9 5 9 13 ANSWER Read the numbers from left to right: –2.5, – , , , EXAMPLE 4 SOLUTION Begin by graphing the numbers on a number line.
- 12. Assignment: P. 113 (#1-27) May want to use a chart for 24-27 Integer? Real Number? Whole Number? Irrational Number? Rational Number? Number No No Yes No Yes 24 Yes Yes Yes No Yes 100 No Yes No Yes Yes 81