To solve the problem of finding the net gain or loss of the stock over these three days, let's break the problem down step by step:
1. Convert Mixed Numbers to Decimals:
- On Monday, the stock lost [tex]\( 8 \frac{3}{8} \)[/tex] points.
- To convert [tex]\( 8 \frac{3}{8} \)[/tex] to a decimal, we do:
[tex]\[ 8 \frac{3}{8} = 8 + \frac{3}{8} = 8 + 0.375 = 8.375 \][/tex]
- On Tuesday, the stock lost [tex]\( 1 \frac{5}{8} \)[/tex] points.
- To convert [tex]\( 1 \frac{5}{8} \)[/tex] to a decimal, we do:
[tex]\[ 1 \frac{5}{8} = 1 + \frac{5}{8} = 1 + 0.625 = 1.625 \][/tex]
2. Determine Points Lost and Gained:
- Points lost on Monday: 8.375 points.
- Points lost on Tuesday: 1.625 points.
- Points gained on Wednesday: 13 points.
3. Calculate the Net Gain or Loss:
- Add together all the points lost and gained:
[tex]\[
\text{Net Gain/Loss} = (-8.375) + (-1.625) + 13
\][/tex]
- Simplify step-by-step:
[tex]\[
(-8.375) + (-1.625) = -10
\][/tex]
[tex]\[
-10 + 13 = 3
\][/tex]
4. Interpret the Result:
- The net result is a gain of 3 points.
Therefore, the net gain or loss of the stock for these three days is a gain of 3 points.
Correct Answer: a gain of 3 points.
