College

A bottle contains 3.78 liters of water. Without calculating, determine whether there are more or less than 3.78 deciliters of water in the bottle. Explain your reasoning.

Answer :

Final answer:

There are more than 3.78 deciliters of water in a bottle containing 3.78 liters because 1 liter equals 10 deciliters, making the conversion result 37.8 deciliters.

Explanation:

To determine if there are more or less than 3.78 deciliters of water in a bottle that contains 3.78 liters, we need to understand the relationship between liters and deciliters. One liter is equal to 10 deciliters. Therefore, if we have 3.78 liters, we would simply multiply that by 10 to find the number of deciliters.

3.78 liters × 10 = 37.8 deciliters

So, there are more deciliters than liters in this case because the factor used to convert liters to deciliters increases the number. This means that a bottle that contains 3.78 liters of water will definitely have more than 3.78 deciliters of water, precisely 37.8 deciliters.

Final answer:

There are significantly more than 3.78 deciliters of water in a 3.78-liter bottle, as one liter equals 10 deciliters, making the bottle content 37.8 deciliters.

Explanation:

To determine whether there are more or less than 3.78 deciliters of water in a bottle that contains 3.78 liters, it is important to understand the relationship between liters and deciliters. One liter is equivalent to 10 deciliters. Therefore, if the bottle contains 3.78 liters, to find the amount in deciliters, we would multiply 3.78 liters by 10.

3.78 L × 10 = 37.8 dL

Without the need for an actual calculation, we can easily conclude that 3.78 liters is in fact a larger quantity than 3.78 deciliters since a liter contains 10 deciliters.