1. Do Now 9/23/11 46 6 A= 16 A = 4² A= 36 A = 6² 4 What is the area for each figure? What are the dimensions for each figure? Write an equation for area of the figure? Can you think of an equation for ONE side of the figure?

2. Objective find square roots, and compare real numbers find square roots, and compare real numbers

3. Section 2.7 “Find Square Roots and Compare Numbers” If b² = a then b is the square root of a. The SQUARE ROOT of a number is denoted by the symbol, which is called a radical. radicand

4. Square Roots All positive real numbers have two square roots, a positive and negative square root. The symbol is read as “plus or minus” and refers to both the positive and negative square root. perfect square The square of an integer is called a perfect square.

5. Not PERFECT??? The square root of a whole number that is NOT a perfect square is an IRRATIONAL NUMBER. numbers that cannot be written as a quotient (fraction, ratio) of two integers and the decimal neither terminates nor repeats. To find the square root of a number that is not a perfect square estimate or use a calculator to find the square root.

6. Evaluate each square root. Round your roots to the nearest hundredth. SOLUTIONS Use the button on your calculator for square roots of numbers.

7. Approximate each square root to the nearest integer. SOLUTIONS To approximate a square, think the closest perfect square to the number under the radical sign.

8. “Real Numbers” “Real Numbers” Real Numbers Rational Numbers Integers WholeNumbers Whole Numbers 0,1,2,3,4,5… 0,1,2,3,4,5… Integers Integers -3,-2,-1, 0,1,2,3… Rational Numbers Rational Numbers numbers that can numbers that can represented as a ratio or fraction Irrational Numbers √2 =1.414213… √2 =1.414213… - √14=-3.74165… - √14=-3.74165…

9. Chapter 2 TEST Section 2.1- Integers and Rational Numbers Section 2.1- Integers and Rational Numbers Section 2.2- Adding Real Numbers Addition Properties Section 2.3- Subtracting Real Numbers Section 2.4- Multiplying Real Numbers Properties of multiplication

10.  Section 2.7- Square Roots  Section 2.5- The Distributive Property Use the distributive property to write an equivalent expression 2(2x+7)  Section 2.6- Dividing Real Numbers Simplify the expression Chapter 2 Test