Distance Conversion Problem: Converting 300m + 5km to Total Meters

To calculate the total distance Miguel travels from his house to work each day, we need to consider both segments of his journey:

• First, the distance from his house to his grandfather's house is directly given as 300 meters.
• Next, the distance from his grandfather's house to his workplace is given as 5 kilometers.

We need to convert the 5 kilometers into meters because we want the entire distance in meters. Recall that $1 \text{ kilometer} = 1000 \text{ meters}$.

So, converting 5 kilometers to meters, we have:

$5 \text{ km} = 5 \times 1000 \text{ meters} = 5000 \text{ meters}$

Now, we add the two segments of his journey:

• Distance from the house to grandfather's house: 300 meters
• Distance from grandfather's house to workplace: 5000 meters

The total distance from his house to work is:

$300 \text{ meters} + 5000 \text{ meters} = 5300 \text{ meters}$

Therefore, Miguel travels a total of 5300 meters each day from his house to his workplace.

Given the choices, the correct answer is choice : $5300$.