Introduction to Square Roots and Radicals
Explore the concept of square roots and radicals, including changing fractions to decimals, simplifying expressions, solving equations, and understanding notation. Learn about square numbers, estimating square roots, and the order of operations.
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Presentation Transcript
Review If given a fraction, change to a decimal. If given a decimal, change to a fraction. 1) 1.25 3 8 2)
Review 2 Simplify completely 3 10+ 8.1 3) 4) 4 3 2.6
Solve the Equation 5) -2.8x + 5.08(x - 4.84) = 19.85
Chapter 5 Section 7 Introduction to square roots. Page 425
Square numbers 9 squared ( ) is 81 4 squared ( ) is16 92 42 81 and 16 are square numbers
Square Root Since is 81 The number, 81, is the square of the number 9 92 So the number 9 is the square root of 81. Written is 9 81
Radical notation the symbol radical notation is called the radical The number 81 is called the radicand. 81
Notation If b is a positive number then is the principal square root (non negative) b - is the negative square root b
Info The answer 16 is 4 The answer - 16 is - 4
Try a) 121 b) -? 25 ? 6 c)
Reading 12 is read: the square root of 12
Order of Operations 1) Grouping symbols 2) Exponents, radicals 3) Multiplication, Division from Left to right 4) Addition, Subtraction from Left to right
Try 1) -? 3 9+12 4 2) -? 2-3 36 4 9 3)
Try 4) 9 + 16 5) 9 + 16
Estimating Square Roots is between which two consecutive number. 24
Find two consecutive integers 1) 44 2) 89
Summary Square number and square roots Order of operations with radicals Approximating square roots
