Decimal Measurements: Identify the greater value

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 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 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 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 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: $<$.

To solve this problem, we need to compare two distances: 40 meters and 0.04 kilometers.

Let's follow these steps to reach the solution:

• Step 1: Convert 0.04 kilometers to meters.
• Step 2: Compare the converted distance with 40 meters.

Now, we'll work each step in detail:

Step 1: Convert 0.04 kilometers to meters.

The conversion factor is $1 \text{ km} = 1000 \text{ meters}$.

Thus, $0.04 \text{ km} \times 1000 = 40 \text{ meters}$.

Step 2: Compare the two distances:

We have both distances as 40 meters now. Therefore, 40 meters is equal to 40 meters.

The solution is that the two distances are equal, so the comparison operator is:

$=$

To solve this problem, let's convert both measurements to the same unit for a direct comparison:

• Step 1: Convert 5.34 cm to millimeters.
• Step 2: Use the conversion factor $1 \text{ cm} = 10 \text{ mm}$.
• Step 3: Calculate $5.34 \text{ cm} \times 10 = 53.4 \text{ mm}$.

Now, compare this result with 53 mm:

$\text{5.34 cm} = 53.4 \text{ mm}$> $\text{53 mm}$.

Therefore, 5.34 cm is greater than 53 mm, and the correct symbol to use is $\gt$.

Thus, the solution to the problem is $\gt$.

To solve this problem, let's follow our planned steps:

• Step 1: Convert the measurement of 3 meters into centimeters.
• Step 2: Compare the two measurements.

Now, we'll go through each step in detail:

Step 1: Convert 3 meters to centimeters. Using the conversion factor: 1 meter $= 100$ centimeters.

Thus, $3$ meters $= 3 \times 100$ centimeters $= 300$ centimeters.

Step 2: Compare the values: 300 centimeters (initial given) and 300 centimeters (converted from 3 meters).

Since both measurements are equal (300 cm), we conclude they are the same size.

Therefore, the correct comparison is $=$.

To solve this problem, we will compare the sizes of 45.6 mm and 2.3 cm in the same units:

• Convert 2.3 cm to millimeters using the conversion factor: $1 \text{ cm} = 10 \text{ mm}$.

Let's calculate the conversion:

$2.3 \text{ cm} \times 10 \frac{\text{mm}}{\text{cm}} = 23 \text{ mm}$

Now, we have two measurements to compare:

• 45.6 mm
• 23 mm

Since 45.6 mm is greater than 23 mm, we have:

$45.6 \text{ mm} > 2.3 \text{ cm}$

Therefore, the solution to the problem is > .

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:

<