Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers.
After a winter storm, the snow on Cherry Street started melting at a rate of 
 
\[\dfrac{1}{3} \text{ cm}\] per hour.
What was the total change in depth of the snow on Cherry Street after 
\[3\] hours?

The problem states that the snow on Cherry Street is melting, which corresponds to a decrease in snow levels, so we use a negative value for the rate of melting.

The melting rate is:

\[
\dfrac{1}{3} \text{ cm per hour}.
\]

To find the total change in the snow depth after 3 hours, we multiply the melting rate by the number of hours:

\[
\text{Total change} = - \left( \dfrac{1}{3} \times 3 \right) = -1 \text{ cm}.
\]

Therefore, the total change in depth of the snow after 3 hours is a decrease of:

\[
\boxed{-1 \text{ cm}}.
\]

Would you like a more detailed explanation? Or do you have any other questions?

Here are 5 related questions to deepen your understanding:

1. What would be the total change if the snow melted for 5 hours at the same rate?
2. How would the problem change if the snow increased instead of melting?
3. If the snow melted at a rate of \( \dfrac{1}{2} \text{ cm per hour} \), what would be the total change after 3 hours?
4. What if the snow melted for only 2 hours at the same rate of \( \dfrac{1}{3} \text{ cm per hour} \)?
5. If the snow started increasing instead at a rate of \( \dfrac{1}{3} \text{ cm per hour} \), what would be the total increase after 3 hours?

**Tip:** When dealing with negative values in real-world scenarios (such as melting or decreases), always check the context to ensure you assign the correct sign to the change.

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the snow on Cherry Street started melting at a rate of 1/3 cm per hour. What was the total change in depth of the snow on Cherry Street after 3 hours?

Learn how to calculate the total change in snow depth after 3 hours of melting at a rate of 1/3 cm per hour. This problem explains key concepts like rates of change, negative numbers, and multiplication, suitable for students in Grades 6-8.

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