Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Lesson #6 Supplemental Section: Find Square Roots and Compare Real Numbers Key Vocabulary Square Root: If b 2 a , then b is a square root of a. So, since 5 2 25 , then 5 is a square root of 25. Square roots are written with the radical symbol ______. All positive real numbers have ____ square roots, a __________________ square root and a ____________________ square root. Zero has only 1 square root, _______. ____________________ numbers do not have real square roots. Note: When we see the symbol, we only consider the positive square root BUT we take the sign in front of the symbol if one is present! Example 1: Evaluate each expression. a) 36 b) 49 c) 4 d) 289 Hit the 2nd key, then this key to get the square root. Perfect Square: A number whose square roots are _________________________________________. Recall: What are some examples of integers? ______________________________________________ Create a perfect square chart!!! Example 2: Approximate a square root The top of a folding table is a square whose area is 200 square inches. Approximate the side length of the tabletop to the nearest inch. On Your Own: Approximate the square root to the nearest integer. (Refer to list of perfect squares calculator) 1) 3) 48 2) 103 32 4) 85 Irrational Numbers: The decimal form of an irrational number neither _________________ nor __________________. Square roots of whole numbers that are not perfect squares are irrational!!! Real Numbers: The set of all ______________________ and ________________________ numbers. Let’s create a Venn diagram to help illustrate the real number system. Real Numbers Example 3: Classify Numbers Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number after they are simplified. Number Real number? Rational number? Irrational number? Integer? Whole number? 24 100 81 5 Example 4: Graph and order real numbers Using the numbers in the table above, order the numbers in the table from least to greatest and plot on a number line. Homework: Lesson #6 WORKSHEET #3-7 odd, 13-19 odd, 23, 25, 35, 37, 47, 48 Find Square Roots and Compare Real Numbers Lesson #6: HOMEWORK