Week 3-Precalc 11

In this week, we concluded the chapter: The Arithmetic Sequence & Geometric Sequence and started a new chapter :Absolute Value of a Real Number. The defination is that the principal square root of the square of a number, as the example , absolute value of -4.

\sqrt{(-4)^2}=\sqrt{16}=4

If we want to find the absolute value of a number, we can use the sign of the absolute value and this sign is called absolute value bars. We can represent it by two vertical lines.

|-4|=\sqrt{(-4)^2}=\sqrt{16}=4

EX:Find the absolute value of 15 , -7.6 , 0 ,\frac{-7}{2}

a)  |15|=\sqrt{15^2}=\sqrt{225}=15

b)  |-7.6|=\sqrt{-7.6^2}=\sqrt{57.76}=7.6

c)  |0|=\sqrt{0^2}=\sqrt{0}=0

d)  |\frac{-7}{2}|=\sqrt{(\frac{-7}{2})^2}=\frac {7}{2}