Please write your answers in a clean sheet of paper or in a graphing paper, if necessary. Use only black or blue-ink pen. All the questions and your corresponding answers should be copied and be handwritten. Take a photo of your answer sheets

Activity 1. You have just demonstrated your conceptual understanding of the important properties of real numbers. inequalities and absolute 1Iralues. However, it is important for you to deepen this knowledge. Now, I will require you to critically analyze and solve the given mathematical problem below. To determine the point on the real-number line corresponding to the irrational number J5, use the construction in the gure below: From the point 1, a line segment of length one unit is drawn perpendicular to the axis. Then a right triangle is formed by connecting the endpoint of this segment with the origin. The length of the hypotenuse of this right triangle is 1.5 units. {This fact allows from the Pythagorean Theorem. which states that 4::2 has the same value as a2+b2, where c units is the length of the hypotenuse, and a units and b units are the lengths of the other two sides.) An arc of the circle has its center at the origin and a radius of 1!? is then drawn; the point where this are intersects the axis is #5. Use this method to determine the point corresponding to v? in the real number line. Draw the gure in a piece of paper. To assist you in understanding how to do this, watch this 1Irideo htlps:.-'i'www.youtube.comMatch?y=aNDBaqFF_M&t=Ts