key term - Part

Definition

A part is a distinct element or component that makes up a whole. In the context of solving general applications of percent, the term 'part' refers to one of the specific quantities or values that contribute to the overall calculation or representation.

5 Must Know Facts For Your Next Test

1. The 'part' in the context of percent applications is one of the specific values or quantities that contribute to the overall calculation or representation.
2. Understanding the relationship between the part and the whole is crucial for solving percent problems, as the part is often the unknown value that needs to be determined.
3. Percent problems frequently involve finding the part given the whole and the percentage, or finding the whole given the part and the percentage.
4. Identifying the part, whole, and percentage correctly is essential for setting up and solving percent equations and word problems.
5. Visualizing the part in relation to the whole can help in understanding and solving percent applications, such as finding discounts, tips, or tax calculations.

Review Questions

• Explain the importance of understanding the relationship between the part and the whole when solving percent applications.
  • The relationship between the part and the whole is crucial when solving percent applications because it determines how the values are related and how the calculations should be set up. Knowing whether the part is the unknown value, the whole, or the percentage is essential for correctly solving percent problems, such as finding the discounted price, the tip amount, or the tax owed. Visualizing the part in relation to the whole can also help in understanding and setting up the appropriate equations or proportions to solve the problem.
• Describe the different types of percent problems that may involve the term 'part' and how the part is used in each case.
  • Percent problems can involve finding the part, the whole, or the percentage. When finding the part, the problem will provide the whole and the percentage, and the task is to calculate the value of the part. When finding the whole, the problem will provide the part and the percentage, and the task is to calculate the value of the whole. When finding the percentage, the problem will provide the part and the whole, and the task is to calculate the percentage. Regardless of the specific problem, understanding the relationship between the part and the whole is essential for setting up and solving the percent equation correctly.
• Analyze how visualizing the part in relation to the whole can help in solving percent applications, and provide an example to illustrate this concept.
  • Visualizing the part in relation to the whole can be extremely helpful when solving percent applications. For example, let's say you need to find the discounted price of an item that originally costs $50 and is on sale for 20% off. By visualizing the part (the discounted amount) in relation to the whole (the original price), you can understand that the part is 20% of the whole. This means the discounted amount is 0.20 x $50 = $10, and the new discounted price is $50 - $10 = $40. Visualizing the relationship between the part and the whole allows you to set up the problem correctly and arrive at the solution more easily.

Related terms

Whole:

The complete or total amount, quantity, or object, of which a part is a portion or component.

Percentage:

A way of expressing a part in relation to a whole, typically represented by a number followed by the percent symbol (%).

Proportion:

The relationship between the parts and the whole, often expressed as a ratio or fraction.