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.