Question
finding part of a total in math definition
Answers
GPT-4o mini
In mathematics, finding part of a total typically involves calculating a specific fraction or percentage of a whole amount. Here’s a definition and explanation:
### Definition:
**Finding part of a total** means determining a subset of a given quantity or whole amount, usually expressed as a fraction, percentage, or decimal.
### Explanation:
1. **Fraction**: If you want to find a part represented as a fraction, you multiply the total by that fraction. For example, if you want to find \( \frac{1}{4} \) of 200, you calculate:
\[
\frac{1}{4} \times 200 = 50
\]
2. **Percentage**: When dealing with percentages, you convert the percentage to a decimal and multiply by the total. For example, to find 20% of 150:
\[
20\% \text{ as a decimal is } 0.20, \text{ so } 0.20 \times 150 = 30
\]
3. **Decimal**: If the part is given as a decimal, the calculation is similar. For example, to find 0.3 of 50:
\[
0.3 \times 50 = 15
\]
### Application:
This concept is used in various applications such as calculating discounts, determining portions in recipes, and analyzing statistical data.
### Summary:
To find part of a total:
- Identify the total amount.
- Determine the fraction, percentage, or decimal that represents the part.
- Multiply the total by this value to find the desired part.
### Definition:
**Finding part of a total** means determining a subset of a given quantity or whole amount, usually expressed as a fraction, percentage, or decimal.
### Explanation:
1. **Fraction**: If you want to find a part represented as a fraction, you multiply the total by that fraction. For example, if you want to find \( \frac{1}{4} \) of 200, you calculate:
\[
\frac{1}{4} \times 200 = 50
\]
2. **Percentage**: When dealing with percentages, you convert the percentage to a decimal and multiply by the total. For example, to find 20% of 150:
\[
20\% \text{ as a decimal is } 0.20, \text{ so } 0.20 \times 150 = 30
\]
3. **Decimal**: If the part is given as a decimal, the calculation is similar. For example, to find 0.3 of 50:
\[
0.3 \times 50 = 15
\]
### Application:
This concept is used in various applications such as calculating discounts, determining portions in recipes, and analyzing statistical data.
### Summary:
To find part of a total:
- Identify the total amount.
- Determine the fraction, percentage, or decimal that represents the part.
- Multiply the total by this value to find the desired part.