Decimal Measurements - Examples, Exercises and Solutions

To solve the problem of determining which is larger between 50 cm and 5 m, we need to compare the two measurements in the same units. We'll convert 5 meters into centimeters for a direct comparison.

• Step 1: Convert 5 meters into centimeters. Since 1 meter equals 100 centimeters, we multiply 5 meters by 100 to find its equivalent in centimeters:
• 5 m $\times$ 100 cm/m = 500 cm

Step 2: Compare the two values in centimeters:

• 50 cm and 500 cm

Clearly, 50 cm is less than 500 cm.

Therefore, the correct inequality is $50 \, \text{cm} < 5 \, \text{m}$.

This corresponds to choice $<$ which is choice number 2.

To solve this problem, we'll focus on converting the measurements to the same unit:

• Step 1: Convert $0.3$ cm to millimeters. Since $1$ cm \equals $10$ mm, we have:
• $0.3 \, \text{cm} = 0.3 \times 10 \, \text{mm} = 3 \, \text{mm}$.
• Step 2: Compare the converted measurement ($3$ mm) with the given $3$ mm.

We find that both measurements are equal.

Therefore, $0.3$ cm is exactly equal to $3$ mm.

Conclusion: Hence, the correct choice is $=$, indicating both values are equal.

To solve this problem, we'll proceed with the following steps:

• Step 1: Convert 0.6 meters into centimeters.
• Step 2: Use the conversion factor: $1$ meter = $100$ centimeters.
• Step 3: Perform the conversion and compare the results.

Let's work through these steps:

Step 1: The problem gives us 0.6 meters. We need to convert this to centimeters.
Step 2: Using the conversion formula, $1$ meter equals $100$ centimeters.
Step 3: To convert 0.6 meters to centimeters, multiply by the conversion factor:

$0.6 \, \text{meters} \times 100 \, \text{cm/meter} = 60 \, \text{cm}$

Now, we compare 60 cm (from the conversion) with 600 cm:

Since $60 \, \text{cm} < 600 \, \text{cm}$, we conclude:

$0.6 \, \text{mts} < 600 \, \text{cm}$

Thus, the correct answer to the problem is:

$<$

To solve this problem, we need to compare 4 meters with 200 centimeters. We can simplify this comparison by converting 4 meters into centimeters. This involves the following steps:

• Step 1: Convert meters to centimeters using the conversion factor: 1 meter = 100 centimeters.
• Step 2: Calculate the number of centimeters in 4 meters.
      $4 \text{ meters} = 4 \times 100 \text{ centimeters} = 400 \text{ centimeters}$
• Step 3: Compare the values:
      400 centimeters versus 200 centimeters.

By comparing 400 centimeters to 200 centimeters, it is clear that 400 centimeters is greater than 200 centimeters. Hence, 4 meters is greater than 200 centimeters.

Therefore, the solution to the problem 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: $<$.