How many 200ml of water is equivalent to 8 liters of water?
The Correct Answer and Explanation is:
To determine how many 200 mL portions are equivalent to 8 liters of water, we need to first convert the 8 liters into milliliters (mL), because the given measurement (200 mL) is in milliliters.
1 liter is equal to 1000 milliliters, so:8 liters=8×1000 mL=8000 mL8 \text{ liters} = 8 \times 1000 \, \text{mL} = 8000 \, \text{mL}8 liters=8×1000mL=8000mL
Now that we have 8000 mL, we can calculate how many 200 mL portions are needed to make up this amount. We do this by dividing the total amount of water (in mL) by the volume of each portion (200 mL):8000 mL200 mL=40\frac{8000 \, \text{mL}}{200 \, \text{mL}} = 40200mL8000mL=40
So, 40 portions of 200 mL are required to make up 8 liters of water.
Explanation
The problem involves a simple unit conversion and division. First, we converted liters to milliliters because the unit of measurement for each portion (200 mL) was in milliliters, making it easier to compare. Next, we used division to determine how many 200 mL portions fit into the total volume of 8000 mL. This is an example of proportional reasoning, where you are essentially finding how many smaller quantities (200 mL) can be grouped together to form a larger total quantity (8000 mL).
In real-life scenarios, this concept can apply to situations such as dividing a large container of water into smaller containers or portioning out ingredients for a recipe. Understanding unit conversions and proportions is essential in fields like cooking, chemistry, and even water management.
