Question

If a robot is moving from origin (base) as per the following log:


The final x- and y-coordinates of the robot are .

• A. x = 1/3, y = 1/2
• B. x = 1/8, y = 1/3
• C. x = 1/3, y = 1/8
• D. x = 1/8, y = 5/2

Answer 1

The correct option is C x = 1/3, y = 1/8

First, use commutative and associative properties respectively to group the numbers with the same denominator together.

So,
Final x-coordinate
= $\frac{5}{2}$ + $\frac{1}{3}$ + (-$\frac{5}{2}$)
= {$\frac{5}{2}$ + (-$\frac{5}{2}$)} + $\frac{1}{3}$
= 0 + $\frac{1}{3}$
= $\frac{1}{3}$

Similarly,
Final y-coordinate
= $\frac{1}{2}$ + $\frac{1}{8}$ + (-$\frac{1}{2}$ )
= {$\frac{1}{2}$+(-$\frac{1}{2}$ )} + $\frac{1}{8}$
= 0 + $\frac{1}{8}$
= $\frac{1}{8}$