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

Every day, Miguel travels 300 meters to get to his grandfather's house.

After that, he travels another 5 km to his workplace.

How many meters does he travel from his house to work each day?

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 : $5300$.