The statement below describes a situation in which opposite quantities combine to make 0. Is the statement true or false?
The temperature rises 15 degrees by noon and then rises 15 more degrees by 3 p.m.
False. The statement describes a situation in which the same quantity combines twice to result in a larger value, not two opposite quantities combining to make 0.
The statement is false. The statement describes a situation in which the temperature rises by a total of 30 degrees, not 0.
The statement is true.
To understand why, we need to consider the change in temperature over time. The situation described states that the temperature initially rises by 15 degrees from an initial time to noon. Then, it rises by an additional 15 degrees from noon to 3 p.m.
If we add these two changes together, (+15) + (+15), we get a total increase of 30 degrees. However, the number we are interested in is not the total increase, but rather the net change in temperature.
Since the temperature rose by 15 degrees and then rose by another 15 degrees, the change from the initial time to 3 p.m. can be represented as (+15) + (+15), which equals +30.
When we have opposite quantities (in this case, positive changes) that combine to make 0, the statement is true. Therefore, the temperature rising 15 degrees by noon and then rising 15 more degrees by 3 p.m. is an example of opposite quantities combining to make 0, making the statement true.