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Percentages are a way of expressing numbers as a fraction of 100. They are incredibly useful in various fields, such as finance, science, and everyday shopping. When you hear someone say "7% of a number," they mean that part of the number represented by 7 out of every 100 parts.

To find the percentage of a number:

• Identify the percentage you need, like 7% in our example.
• Understand that this percentage is derived from the part-to-whole relationship compared to 100.
• Create an equation to express this relationship, like setting a part (\[ x \]) over the whole (e.g., 175) equal to the desired percentage over 100. This setup mirrors the problem statement."

Prealgebra is the foundation for all advanced math topics, playing an essential role in strengthening basic math skills. One of the prealgebra concepts at work here is understanding proportions.

Proportions in math describe a scenario where two ratios or fractions are equal. In our exercise, when the task asks "What number is 7% of 175?", it sets up a proportion:- The unknown value (or part) is represented by \[ x \].- This unknown part corresponds to the known part of the whole (which is 175) to solve the problem.The idea is to form a relationship where the fraction representing this unknown value to 175 is equal to the fraction representing 7 to 100. Writing it in simpler terms, \[ \frac{x}{175} = \frac{7}{100} \].

Translating a verbal statement or word problem into a mathematical expression is a vital skill in math. It's about converting what you read into symbols and operations that can be solved mathematically.

In the given problem, you had to:- Recognize the key components described verbally ("7% of 175") and convert them into math terms.- This involves understanding that "of" often signifies multiplication in math terms.- Hence, "7% of 175" became the fraction \[ \frac{7}{100} \], where you are looking for part of a whole.The process is about relating the spoken problem to the proportional setup, \[ \frac{x}{175} = \frac{7}{100} \] which lets you bridge the gap between language and mathematical calculations effectively.