Joey walked east for 1523 meters from home. Then, he walked west for 2134 meters. How far was Joey from home? Write your answer as a mixed number only.

1 answer

To find out how far Joey is from home, we need to take into account his movements to the east and west.

  1. Joey first walks east for 1523 meters.
  2. Then, he walks west for 2134 meters.

To find the net distance from home, we can calculate the total distance he walked east minus the distance he walked west:

\[ \text{Net Distance} = \text{Distance East} - \text{Distance West} \] \[ \text{Net Distance} = 1523 - 2134 \] \[ \text{Net Distance} = -611 \text{ meters} \]

The negative sign indicates that he is 611 meters to the west of his starting point (home).

Now, to express 611 as a mixed number. Since 611 is a whole number, it can be expressed simply as:

\[ 611 = 611 \frac{0}{1} \]

Since it's a pure number, we can conclude that Joey is \(611\) meters from home.

Thus, the final answer is: \[ 611 \]

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