HOW MANY GROUPS OF 10 ML ARE IN 1 LITER
The Correct Answer and Explanation is:
To calculate how many groups of 10 mL are in 1 liter, we need to understand the relationship between milliliters (mL) and liters (L).
1 liter (L) is equal to 1000 milliliters (mL). This is a standard conversion in the metric system, where:
- 1 L = 1000 mL.
Now, to determine how many groups of 10 mL are in 1 liter, we divide the total milliliters in 1 liter by the size of each group (10 mL):
[
\frac{1000 \, \text{mL}}{10 \, \text{mL/group}} = 100 \, \text{groups}.
]
So, there are 100 groups of 10 mL in 1 liter.
Explanation:
The metric system uses a base-10 structure, meaning that each unit is a power of 10 relative to other units. For example, 1 liter is composed of 1000 milliliters (mL), as we’ve established. To break a liter into smaller groups, we divide 1000 mL into smaller portions of 10 mL each.
This division works because we are breaking down a large unit (1 liter) into smaller, equally sized portions (each 10 mL). The calculation is straightforward because the metric system is designed to make conversions between units easy by multiplying or dividing by powers of 10.
The process also illustrates the importance of understanding unit conversions, especially when dealing with larger quantities. When dividing 1000 by 10, we get 100, indicating that 1 liter contains exactly 100 groups of 10 mL. This kind of division is often used in contexts where precise measurements are needed, such as in medical dosages, cooking, or laboratory settings, where quantities are often measured in milliliters or liters.
In conclusion, 1 liter contains 100 groups of 10 mL, which reflects the ease of conversions in the metric system and highlights the importance of understanding these relationships when working with measurements.