Decimal Measurements Practice Problems and Conversion

To solve the problem of converting meters to centimeters, we apply the following steps:

• Step 1: Identify the given value, which is 0.6 meters.
• Step 2: Use the conversion factor between meters and centimeters. There are 100 centimeters in one meter, so the formula is $\text{centimeters} = \text{meters} \times 100$.
• Step 3: Multiply 0.6 meters by 100 to convert it to centimeters.

Let's carry out the calculation:
0.6 meters $\times$ 100 = 60 centimeters.

Therefore, the conversion of 0.6 meters to centimeters is $60$ centimeters.

To solve this problem, let's convert the measurement from centimeters to meters by following these steps:

• Identify the given measurement: $40$ cm.
• Recall the conversion factor: $1$ meter = $100$ centimeters.
• Apply the conversion factor to convert $40$ cm into meters by dividing by $100$:
  $\frac{40}{100} = 0.4$ meters.

This calculation shows that $40$ cm is equivalent to $0.4$ meters.

Therefore, the solution to the problem is $0.4$.

To solve the problem, let's follow these steps:

• Step 1: Convert centimeters to meters.
• Step 2: Identify the correct answer from the given choices.

Now, let's work through each step:

Step 1: We know that $1 \text{ meter} = 100 \text{ cm}$. Therefore, to convert $5000$ cm to meters, we divide $5000$ by $100$:

$\frac{5000}{100} = 50$ meters.

Step 2: Among the given choices, we are looking for $50$ meters, which matches $\text{Choice 4}$.

Therefore, the solution to the problem is $50$ m.

To determine which measurement is larger, we'll convert the measurement in centimeters to millimeters to make a direct comparison:

• Step 1: Convert 5 centimeters to millimeters.

Using the conversion ratio, 1 cm = 10 mm, we find:

$5 \, \text{cm} \times 10 \, \frac{\text{mm}}{\text{cm}} = 50 \, \text{mm}$

• Step 2: Compare the two measurements.

Now we compare 40 mm and 50 mm:

$40 \, \text{mm}$ is less than $50 \, \text{mm}$.

Therefore, 40 mm is less than 5 cm when both are expressed in millimeters.

So the correct answer is:

<

To determine which measurement is larger, we need to convert the units so they are comparable.

Step 1: Convert kilometers to meters
We know that 1 kilometer is equivalent to 1000 meters. Hence, to convert 0.1 kilometers to meters, we perform the following calculation:
$0.1 \text{ km} \times 1000 \text{ meters/km} = 100 \text{ meters}$

Step 2: Compare the measurements
We are now comparing 5 meters with 100 meters, as both are in the same unit of measurement.

• 5 meters
• 100 meters

Since 5 meters $<$ 100 meters, the comparison shows that the measurement of 5 meters is smaller than 0.1 kilometers.

Thus, the correct answer is: $<$.