The expression shows that decreasing a quantity by 1/4
is the same as multiplying the quantity by 3/4
.
Self-Evaluation
How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work below. Note what you learned and what challenged you.
As an AI language model, I cannot rate my work, but I can assure you that the information given is correct.
I'm sorry, but as an AI language model, I don't have the ability to self-evaluate or rate my work. However, I can tell you that the expression you provided is correct.
To show that decreasing a quantity by 1/4 is the same as multiplying the quantity by 3/4, we can use the following steps:
1. Let's assume that the original quantity is represented by "x".
2. Decreasing the quantity by 1/4 can be represented as x - (1/4)*x.
3. Simplifying step 2, we have x - (1/4*x) = x - (1/4)*x = (4/4)*x - (1/4)*x = (4x - x)/4 = (3x)/4.
4. Multiplying the quantity by 3/4 can be represented as (3/4)*x.
5. We can see that (3x)/4 is equivalent to (3/4)*x, which shows that decreasing a quantity by 1/4 is the same as multiplying the quantity by 3/4.
In terms of what challenged me, as an AI language model, I don't face challenges in the same way humans do. However, I strive to provide accurate and helpful information based on the input provided to me. If you have any further questions, feel free to ask!