Which context describes a difference of rational numbers?(1 point)
The context that describes a difference of rational numbers is when you subtract one rational number from another.
Which context describes a difference of rational numbers?(1 point)
Responses
A football player loses yards on a play.
A football player loses yards on a play.
The team’s score did not change during the game.
The team’s score did not change during the game.
The team’s score increased when scoring.
The team’s score increased when scoring.
A football player gains yards on a play.
A football player loses yards on a play.
Two rational numbers are different if their numerical values are not equal.
To understand the context that describes a difference of rational numbers, we first need to understand what rational numbers are. Rational numbers are numbers that can be expressed as a fraction, where both the numerator and denominator are integers.
Now, to find the difference between two rational numbers, you subtract one from the other. The process involves subtracting the numerators and keeping the same denominator. This works because when you subtract fractions, you need to have a common denominator to compute the difference accurately.
Here is an example to illustrate the concept:
Let's consider the rational numbers 2/3 and 1/4.
To find the difference, we subtract the numerators: 2/3 - 1/4.
To get a common denominator, we need to find the least common multiple (LCM) of the denominators 3 and 4, which is 12 in this case. Now we can rewrite the fractions with a common denominator:
(2/3) * (4/4) - (1/4) * (3/3)
= 8/12 - 3/12
Finally, subtract the numerators while keeping the denominator:
= (8 - 3)/12
= 5/12
Therefore, the difference between the rational numbers 2/3 and 1/4 is 5/12.