Area Units - Examples, Exercises and Solutions

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

• Understand the units conversion relationship.
• Use the conversion factor for area units: $1 \ \text{m}^2 = 10,000 \ \text{cm}^2$.
• Perform the division to obtain the area in square meters.

Now, let's work through each step:

Step 1: We have an area of $291 \ \text{cm}^2$.

Step 2: Use the conversion factor $1 \ \text{m}^2 = 10,000 \ \text{cm}^2$. Therefore, to convert square centimeters to square meters, divide by 10,000.

Step 3: Calculating using the conversion: $291 \ \text{cm}^2 \div 10,000 = 0.0291 \ \text{m}^2$

Therefore, the solution to the problem is $0.0291 \ \text{m}^2$.

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

• Step 1: Identify the conversion factor for length. From meters to centimeters, the conversion is $1 m = 100 cm$.
• Step 2: Since area involves square units, square the conversion factor: $(100 cm)^2 = 10000 cm^2$ per square meter.
• Step 3: Multiply the given area in square meters by the conversion factor for square units.

Let's apply these steps:

Step 1: The conversion factor from meters to centimeters is $100$.

Step 2: Square the conversion factor to find the conversion factor for square units: $100^2 = 10000$.

Step 3: Multiply the area in square meters by the conversion factor for square units:

$9m^2 \times 10000 cm^2/m^2 = 90000 cm^2$.

Therefore, the solution to the problem is $90000 cm^2$.

Remember that one kilometer equals 1000 meters.

Therefore 8 kilometers equals 8*1000 meters.

The answer is 8000 meters.

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

• Step 1: Convert kilometers to meters.
• Step 2: Convert meters to centimeters.

Now, let's work through each step:
Step 1: Convert kilometers to meters. Since $1 \text{ kilometer} = 1000 \text{ meters}$, for $0.6 \text{ kilometers}$, the calculation is:

$0.6 \text{ km} \times 1000 \text{ m/km} = 600 \text{ meters}$

Step 2: Convert meters to centimeters. Since $1 \text{ meter} = 100 \text{ centimeters}$, for $600 \text{ meters}$, the calculation is:

$600 \text{ m} \times 100 \text{ cm/m} = 60,000 \text{ centimeters}$

Therefore, the solution to the problem is $60,000 \text{ cm}$.

To convert $\frac{1}{5}$ kilometers to meters, we follow these steps:

• Step 1: Recognize that the conversion factor is $1$ kilometer = $1000$ meters.
• Step 2: Multiply $\frac{1}{5}$ kilometers by $1000$ to find the equivalent in meters.

Let's carry out the calculation:

$\frac{1}{5} \text{ km} = \frac{1}{5} \times 1000 \text{ m}$ $= \frac{1000}{5} \text{ m}$ $= 200 \text{ meters}$

Therefore, the equivalent of $\frac{1}{5}$ kilometers in meters is $\boxed{200}$.

To solve the problem of converting 0.5 meters to centimeters, we proceed with the following steps:

• Step 1: Understand the conversion factor. We know that 1 meter is equivalent to 100 centimeters.
• Step 2: Apply the conversion factor to the given length in meters. Multiply the given length in meters by 100 to convert it to centimeters.

Now, let's apply these steps to solve the problem:
0.5 meters × 100 centimeters per meter = 50 centimeters.

Thus, 0.5 meters is equivalent to 50 centimeters.

Therefore, the correct answer choice is Choice 3: $50$.

To convert centimeters to decimeters, we'll follow these steps:

• Step 1: Identify the given information, which is that we have 12 centimeters to convert.
• Step 2: Recall the conversion relationship: $1 \text{ dm} = 10 \text{ cm}$.
• Step 3: Perform the conversion by dividing the number of centimeters by 10. Thus, the calculation is $12 \div 10 = 1.2$.

Performing the calculation, we find $12 \text{ cm} = 1.2 \text{ dm}$.

Therefore, the solution to the problem is $1.2 \text{ dm}$.

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

• Step 1: Identify and use the correct conversion factor.
• Step 2: Perform the necessary multiplication to convert meters to centimeters.

Now, let's work through this:

Step 1: We know that $1 \text{ meter} = 100 \text{ centimeters}$. This is the standard conversion factor.

Step 2: To convert $7$ meters to centimeters, multiply the number of meters by the conversion factor:

Therefore, $7$ meters is equal to $\textbf{700 centimeters}$.

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

• Step 1: Identify the given information
• Step 2: Apply the appropriate conversion factor
• Step 3: Perform the calculation

Now, let's work through each step:
Step 1: We are given the measurement $5 \text{ cm}$ that we need to convert to millimeters.
Step 2: We use the conversion factor, $1 \text{ cm} = 10 \text{ mm}$.
Step 3: We perform the conversion by multiplying the number of centimeters by the conversion factor:

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

Therefore, the solution to the problem is $5 \text{ cm} = 50 \text{ mm}$.

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

• Step 1: Convert centimeters to meters.
• Step 2: Convert meters to kilometers.

Let us work through each step in detail:

Step 1: Convert centimeters to meters.
We know that $1 \, \text{m} = 100 \, \text{cm}$. To convert 5000 centimeters to meters, we divide by 100:
$5000 \, \text{cm} \div 100 = 50 \, \text{m}$

Step 2: Convert meters to kilometers.
We know that $1 \, \text{km} = 1000 \, \text{m}$. To convert 50 meters to kilometers, we divide by 1000:
$50 \, \text{m} \div 1000 = 0.05 \, \text{km}$

Therefore, the distance of 5000 centimeters is equivalent to $0.05 \, \text{km}$.

To solve this problem, we need to apply the following step:

• Convert the given length from meters to centimeters using the conversion factor.

Let's work through this:

The conversion factor between meters and centimeters is $1\text{ m} = 100\text{ cm}$. Therefore, to convert $7$ meters to centimeters, we multiply by this factor:

$7 \text{ m} \times 100 \text{ cm/m} = 700 \text{ cm}$

Thus, the length of $7$ meters is equivalent to $700$ centimeters.

The correct choice that matches this result is choice $2$.

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

• Step 1: Identify the given measurement of $5 \text{ cm}$.
• Step 2: Use the conversion factor from centimeters to millimeters, which is $1 \text{ cm} = 10 \text{ mm}$.
• Step 3: Multiply the number of centimeters by the conversion factor: $5 \text{ cm} \times 10 \text{ mm/cm} = 50 \text{ mm}$.

Now, let's work through each step:
Step 1: Our initial measurement is $5 \text{ cm}$.
Step 2: We know that $1 \text{ cm} = 10 \text{ mm}$.
Step 3: By multiplying $5 \text{ cm}$ by $10 \text{ mm/cm}$, we obtain $50 \text{ mm}$.

Therefore, the solution to the problem is $50 \text{ mm}$, which matches choice 4.

To solve this problem, we need to convert 1382 decimeters into meters. We'll use the conversion factor that 1 decimeter is equal to 0.1 meters.

Follow these steps to find the solution:

• Step 1: Identify the conversion factor: 1 dm = 0.1 m.
• Step 2: Multiply the length in decimeters by the conversion factor to convert to meters.

Let's perform the calculation:
$1382 \, \text{dm} \times 0.1 \, \text{m/dm} = 138.2 \, \text{m}$

Therefore, the equivalent length in meters is $138.2 \, \text{m}$.

Looking at the answer choices provided, the correct option is choice 2: $138.2$.

Thus, the solution to the problem is $138.2 \, \text{m}$.

To convert meters to kilometers, use the conversion factor: $1 \text{ km} = 1000 \text{ m}$. Thus, $1 \text{ m} = \frac{1}{1000} \text{ km}$.

• Step 1: Identify the given measurement as $125 \text{ m}$.
• Step 2: Convert meters to kilometers by multiplying by $\frac{1}{1000}$ km/m.

Calculation:
$125 \text{ m} \times \frac{1}{1000} \text{ km/m} = 0.125 \text{ km}$.

The problem provides multiple-choice answers, and the correct answer is expressed as a fraction, so express $0.125$ as a fraction:

$0.125 = \frac{125}{1000} = \frac{1}{8}$ after simplification.

Therefore, the solution to the problem is $\frac{1}{8}$ km.