Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
−15.81
negative 15.81
15.81
15.81
−20.71
negative 20.71
20.71
The distance between -18.26 and -2.45 on a number line is |-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81|. Therefore, the distance is 15.81.
24−(−15).
To simplify 24 - (-15), you can rewrite it as 24 + 15.
24 + 15 = 39
Therefore, 24 - (-15) is equal to 39.
What is 17 4/9 + 5/9 − 8 − 10?
To simplify the expression 17 4/9 + 5/9 - 8 - 10, you first need to convert the mixed number 17 4/9 to an improper fraction.
To convert 17 4/9 to an improper fraction, multiply the whole number (17) by the denominator (9) and add it to the numerator (4). Then, write the sum over the denominator.
17 × 9 = 153
153 + 4 = 157
So, 17 4/9 as an improper fraction is 157/9.
Now, the expression becomes:
157/9 + 5/9 - 8 - 10
To add fractions, they must have a common denominator. In this case, the common denominator is 9. Therefore, the expression becomes:
(157 + 5)/9 - 8 - 10
= 162/9 - 8 - 10
= 18 - 8 - 10
= 10 - 10
= 0
Therefore, the value of 17 4/9 + 5/9 - 8 - 10 is 0.
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.
A football player gains yards on a play.
A football player gains yards on a play.
The team’s score increased when scoring.
The team’s score increased when scoring.