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Let's Analyze Activity 1. You have just demonstrated your conceptual understanding of the important properties of real numbers, inequalities and absolute values. However, it is
Let's Analyze Activity 1. You have just demonstrated your conceptual understanding of the important properties of real numbers, inequalities and absolute values. 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 v2, use the construction in the figure below: V2 V2 2 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 v2 units. (This fact allows from the Pythagorean Theorem, which states that c? 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 vZ is then drawn; the point where this arc intersects the axis is v2. Use this method to determine the point corresponding to v5 in the real number line. Draw the figure in a piece of paper. To assist you in understanding how to do this, watch this video https://www.youtube.com/watch?v=aNOBaqFFO_M&t=7s
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