Decimal Measurements: Worded problems

Let's solve the problem step-by-step:

Darrel walks a distance of $1000$ meters every day as part of his exercise.

Darrel also runs a distance of $1$ kilometer daily. To find this distance in meters, we use the conversion factor:
$1\, \text{kilometer} = 1000\, \text{meters}$

Thus, Darrel runs $1000$ meters.

To find the total distance Darrel covers each day, add the distance he walks to the distance he runs:

Total distance = Walking distance + Running distance

Total distance = $1000 + 1000$

Total distance = $2000$ meters

Therefore, Darrel covers a total of $2000$ meters each day.

To solve this problem, we'll follow these steps:

• Step 1: Convert the total length of the wall Nigel builds from kilometers to meters.
• Step 2: Calculate the average number of meters built each day.

Now, let's work through each step:

Step 1: Nigel builds a wall that is 5 kilometers long. Since $1 \text{ km} = 1000 \text{ m}$, we convert kilometers to meters:

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

Step 2: Since the wall is built over 2 days, we divide the total length in meters by the number of days to find the average:

$\text{Average meters per day} = \frac{5000 \text{ m}}{2 \text{ days}} = 2500 \text{ m/day}$

Therefore, on average, Nigel builds 2500 meters of the wall each day.

Thus, the correct answer is choice $\boxed{3}$ with 2500 m per day.

To solve this problem, we'll follow these steps:

• Step 1: Convert the distance traveled to the grandfather's house from meters to kilometers.
• Step 2: Add the converted distance to the distance traveled from the grandfather's house to the workplace.
• Step 3: Present the total distance in kilometers.

Now, let's work through each step:

Step 1: Miguel travels 300 meters to his grandfather's house. Since 1 kilometer equals 1000 meters, we convert 300 meters to kilometers as follows:

$300 \text{ meters} = \frac{300}{1000} \text{ kilometers} = 0.3 \text{ kilometers}$

Step 2: Miguel then travels 5 kilometers from his grandfather's house to his workplace. To find the total distance traveled, we add these two distances:

$0.3 \text{ kilometers} + 5 \text{ kilometers} = 5.3 \text{ kilometers}$

Step 3: Therefore, the total distance Miguel travels from his house to his workplace each day is $5.3 \text{ kilometers}$.

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 : $5300$.

Let's proceed with the solution:

Step 1: Convert running distance from kilometers to meters.
Since $1 \text{ km} = 1000 \text{ meters}$, the running distance is $1 \times 1000 = 1000$ meters.

Step 2: Add the walking distance and running distance to find the total distance.
Total distance = Walking distance + Running distance.

Walking distance: $1000$ meters.
Running distance: $1000$ meters.

Therefore, the total distance traveled each day is:

$1000 \text{ meters} + 1000 \text{ meters} = 2000 \text{ meters}$.

Thus, Darrel travels $2000$ meters each day.

Please note, the original question presents these as integer values, and there might be a mismatch due to a contextual issue. However, based solely on the given data, the computed total is $2000$ meters.