What is 1.3% of 5000 what is 1/3 of $5,000
The Correct Answer and Explanation is:
To solve the two problems—finding 1.3% of 5,000 and calculating one-third of $5,000—we can use basic percentage and fraction calculations.
Finding 1.3% of 5,000
To calculate 1.3% of a number, we can use the following formula:
[
\text{Percentage} = \left( \frac{\text{Percentage Value}}{100} \right) \times \text{Total}
]
In this case, the percentage value is 1.3 and the total is 5,000:
[
1.3\% \text{ of } 5000 = \left( \frac{1.3}{100} \right) \times 5000
]
Calculating this gives:
[
1.3\% \text{ of } 5000 = 0.013 \times 5000 = 65
]
So, 1.3% of 5,000 is 65.
Finding 1/3 of $5,000
To find one-third of a number, we divide the total by 3. The calculation can be represented as follows:
[
\frac{1}{3} \text{ of } 5000 = \frac{5000}{3}
]
Carrying out the division:
[
\frac{5000}{3} \approx 1666.67
]
Therefore, one-third of $5,000 is approximately $1,666.67.
Explanation
Percentages and fractions are fundamental mathematical concepts used in various fields, including finance, science, and daily life. Understanding how to calculate percentages allows individuals to determine discounts, taxes, and interest rates, which are crucial for budgeting and financial planning. For instance, knowing that 1.3% of a sum helps consumers assess small fees or increases in costs.
Similarly, fractions are vital in sharing quantities or determining parts of a whole. Finding one-third of an amount is commonly used in scenarios like splitting bills, dividing resources, or calculating equal shares in investments or savings. In this example, one-third of $5,000 signifies how much each person would receive if the amount were evenly divided among three people.
Both calculations illustrate practical applications of mathematics, showing their relevance in making informed financial decisions and managing resources effectively. Whether dealing with percentages or fractions, proficiency in these areas contributes to better problem-solving skills and enhanced financial literacy.