which context describes a difference of a rational numbers?
A football player gains yards on a play.
The teams score increased when scoring.
A football player loses yards on a play.
The teams score did not change during the game
A football player loses yards on a play.
The context that describes a difference of a rational number is when a football player gains or loses yards on a play. The change in distance covered by the player can be represented as a rational number, as it is a ratio of two integers (the number of yards gained or lost over the total number of yards).
The context that describes a difference of a rational number is when a football player loses yards on a play.
To understand why losing yards on a play relates to a rational number, we need to understand what a rational number is. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers.
In football, when a player loses yards on a play, it means that they moved backward from their starting position. This can be represented as a negative value. For example, if a player started at the 10-yard line and then lost 5 yards, their new position would be at the 5-yard line. This can be expressed as -5 yards or -5/1, which is a rational number.
On the other hand, if a player gains yards on a play, it represents a positive value. The teams' score increasing or the teams' score not changing during the game does not involve a change in position or a specific numerical value that can be represented as a rational number.
Therefore, the context of a football player losing yards on a play best describes a difference of a rational number.