Question

point R has a value of 2/5 and is represented on the number line all that is known about point Q is that Q equals 1/2 using the number line locate all possible values of R plus Q

Answer 1

To find the sum of points \( R \) and \( Q \) given their values on the number line, we start with the following:

- Point \( R \) has a value of \( \frac{2}{5} \).
- Point \( Q \) has a value of \( \frac{1}{2} \).

We need to calculate \( R + Q \):

\[
R + Q = \frac{2}{5} + \frac{1}{2}
\]

To add these fractions, we first need a common denominator. The least common multiple of 5 and 2 is 10. Now, we can convert both fractions:

\[
\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}
\]

\[
\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}
\]

Now we can add the two fractions:

\[
R + Q = \frac{4}{10} + \frac{5}{10} = \frac{9}{10}
\]

Thus, the value of \( R + Q \) is \( \frac{9}{10} \).

So, point \( R + Q \) is located at \( \frac{9}{10} \) on the number line.