Describe the correct way to find the sum of p

Question

and q
if p=−5/9
and q=−2/9
.(1 point)
Responses

Find −2/9
on the number line and count 5/9
spaces to the right.
Find negative Start Fraction 2 over 9 End Fraction on the number line and count Start Fraction 5 over 9 End Fraction spaces to the right.

Find −5/9
on the number line and count 2/9
spaces to the left.
Find negative Start Fraction 5 over 9 End Fraction on the number line and count Start Fraction 2 over 9 End Fraction spaces to the left.

Find 2/9
on the number line and count 5/9
spaces to the left.
Find Start Fraction 2 over 9 End Fraction on the number line and count Start Fraction 5 over 9 End Fraction spaces to the left.

Find −5/9
on the number line and count 2/9
spaces to the right.

Answer 1

To find the sum of \( p \) and \( q \) where \( p = -\frac{5}{9} \) and \( q = -\frac{2}{9} \), you would add the two fractions:

\[ p + q = -\frac{5}{9} + -\frac{2}{9} = -\frac{5+2}{9} = -\frac{7}{9} \]

To represent this on a number line:

1. Start at \( -\frac{5}{9} \).
2. Since you are adding another negative value \( -\frac{2}{9} \), you will be moving to the left on the number line.
3. Find \( -\frac{5}{9} \) on the number line and count \( \frac{2}{9} \) spaces to the left.

The correct response would be:

Find negative Start Fraction 5 over 9 End Fraction on the number line and count Start Fraction 2 over 9 End Fraction spaces to the left.