Question

in the stock market,changes in value used to be indicatd by fractions, which represented portion of $1 if a stock had a value of $11.50,write and evaluate an addition expression to find how much the stock is worth after an increased of 1/4 how do you know how the correct expression

Answer 1

To evaluate the value of a stock after an increase of \( \frac{1}{4} \), you'll first determine what the increase represents in terms of the stock's dollar value.

Given that the stock is worth \( 11.50 \):

1. **Calculate the increase**:
- Start by expressing \( \frac{1}{4} \) of the stock's current value.
- This can be done by multiplying \( 11.50 \) by \( \frac{1}{4} \):

\[
\text{Increase} = 11.50 \times \frac{1}{4}
\]

\[
\text{Increase} = \frac{11.50}{4} = 2.875
\]

2. **Add the increase to the original value**:

Now, you can write an addition expression to find the new value of the stock after the increase:

\[
\text{New Value} = 11.50 + 2.875
\]

3. **Evaluate the expression**:

\[
\text{New Value} = 11.50 + 2.875 = 14.375
\]

Thus, the stock is worth \( 14.375 \) after the increase of \( \frac{1}{4} \) of its original value.

### How to know you have the correct expression:

1. **Identify the original stock value**: Knowing that the original stock value is \( 11.50 \).
2. **Determine the appropriate fraction for the increase**: Here, we need to find \( \frac{1}{4} \) of that value.
3. **Write the addition expression**: Combine the original stock value with the calculated increase to find the new total.
4. **Mathematical integrity**: The process involves basic arithmetic operations, and since we ensured to multiply by \( \frac{1}{4} \) correctly, our method is sound.

Finally, checking your answer with different methods (like converting to improper fractions or decimals, where applicable) can also help verify correctness.