Question

8. Represent (1 +9.5) on the number line.
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Answer 1

Answer:

Step 1: Draw 2 points A(1,0) and B(1.5,0.5)

According to the Pythagoras theorem, the length of AB would be

AB=|1−1.5|2+|0−0.5|2−−−−−−−−−−−−−−−−−√=2√2.

Step 2: Draw a circle centered at A and radius AB. Let C, D be the intersection points of the circle (A,AB) and the X-axis line. The coordinates of C and D would be:

C(1−2√2,0);

D(1+2√2,0).

Step 3: Draw E(1,3) . The length of DE would be

DE=|1−(1+2√2)|2+|0−3|2−−−−−−−−−−−−−−−−−−−−√=9.5−−−√

Step 4: Draw a circle centered at A that has a radius of DE. Let F, G be the intersection points of the circle (A, DE) and the X-axis line. The coordinates of F and G would be:

F(1−9.5−−−√,0)

G(1+9.5−−−√,0)