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
Answers
GPT-4o mini
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.
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.