which context describes a difference of rational numbers

Question

the teams score did not change during the game
a football player loses a yard on a play
a football player gains a yard on a play
the teams score increased when scoring

Answer 1

The context that describes a difference of rational numbers is:

"A football player loses a yard on a play."

This context involves comparing two quantities related to the yardage of the player, where the difference can be represented by subtracting the current yardage from the desired yardage (e.g., starting at 0 yards and losing 1 yard results in a difference of -1).

While the other options involve situations where scores or yardage change, they are not focused specifically on the concept of calculating a difference in a negative direction.

Answer 2

solve the following word problem the air temperature at 9 a.m is -5.8 degree celsius the air tempature at noon is -1.6 degrees celsius what is the change in the temperature during these three hours

Answer 3

To find the change in temperature from 9 a.m. to noon, you subtract the initial temperature from the final temperature. The initial temperature at 9 a.m. is -5.8 degrees Celsius, and the temperature at noon is -1.6 degrees Celsius.

The change in temperature can be calculated as follows:

\[ \text{Change in temperature} = \text{Final temperature} - \text{Initial temperature} \]

Plugging in the values:

\[ \text{Change in temperature} = (-1.6) - (-5.8) \]

When you subtract a negative number, it's the same as adding the positive version of that number:

\[ \text{Change in temperature} = -1.6 + 5.8 \]

Now calculate:

\[ -1.6 + 5.8 = 4.2 \]

Thus, the change in temperature during these three hours is 4.2 degrees Celsius.