Calculating the Total Number of Shirts Sold

Oct 13, 2025 by leolavanderia.com.br 41 views

An Online Clothing Company's Sales: Calculating the Total Number of Shirts Sold

In the world of e-commerce, online clothing companies are constantly striving to increase their sales and expand their customer base. One such company sells a significant number of shirts each month, and in this article, we will explore the total number of shirts sold by the company over a period of 120 months. We will use mathematical calculations to determine the value of the exponent in the total number of shirts sold.

The Company's Monthly Sales

The online clothing company sells $$2.3 \times 10^5$$ shirts each month for 120 months. To find the total number of shirts sold, we need to multiply the number of shirts sold each month by the number of months.

Calculating the Total Number of Shirts Sold

To calculate the total number of shirts sold, we multiply the number of shirts sold each month ($$2.3 \times 10^5$$) by the number of months (120).

\text{Total number of shirts sold} = 2.3 \times 10^5 \times 120

Using the properties of exponents, we can rewrite the multiplication as:

\text{Total number of shirts sold} = (2.3 \times 10^5) \times (10^{1.0792})

Using the rule for multiplying numbers with exponents, we can add the exponents:

\text{Total number of shirts sold} = 2.3 \times 10^{5+1.0792}

Simplifying the exponent, we get:

\text{Total number of shirts sold} = 2.3 \times 10^{6.0792}

Writing the Total Number of Shirts Sold in Scientific Notation

The total number of shirts sold is written as $$2.76 \times 10^m$$ shirts. To find the value of $$m$$, we need to equate the two expressions:

2.3 \times 10^{6.0792} = 2.76 \times 10^m

Using the rule for equating numbers with exponents, we can equate the exponents:

6.0792 = m

In conclusion, the online clothing company sells a significant number of shirts each month, and over a period of 120 months, the total number of shirts sold is $$2.3 \times 10^{6.0792}$$ shirts. The value of the exponent in the total number of shirts sold is 6.0792, which can be rounded to 6.08.

The final answer is: $\boxed{6.08}$
Q&A: Calculating the Total Number of Shirts Sold by an Online Clothing Company

In our previous article, we explored the total number of shirts sold by an online clothing company over a period of 120 months. We calculated the total number of shirts sold and determined the value of the exponent in the total number of shirts sold. In this article, we will answer some frequently asked questions related to the calculation.

Q: What is the significance of the exponent in the total number of shirts sold?

A: The exponent in the total number of shirts sold represents the power to which the base number (2.3) is raised. In this case, the exponent is 6.0792, which means that the total number of shirts sold is 2.3 multiplied by 10 to the power of 6.0792.

Q: How did you calculate the total number of shirts sold?

A: To calculate the total number of shirts sold, we multiplied the number of shirts sold each month (2.3 x 10^5) by the number of months (120). We then used the properties of exponents to simplify the expression and determine the value of the exponent.

Q: What is the difference between the calculated total number of shirts sold and the given total number of shirts sold?

A: The calculated total number of shirts sold is 2.3 x 10^6.0792, while the given total number of shirts sold is 2.76 x 10^m. The difference between the two expressions is due to the rounding of the exponent from 6.0792 to m.

Q: How can I apply this calculation to my own business?

A: This calculation can be applied to any business that sells a product over a period of time. To calculate the total number of products sold, you can multiply the number of products sold each period by the number of periods. You can then use the properties of exponents to simplify the expression and determine the value of the exponent.

Q: What are some common mistakes to avoid when calculating the total number of products sold?

A: Some common mistakes to avoid when calculating the total number of products sold include:

Not using the properties of exponents to simplify the expression
Not rounding the exponent correctly
Not considering the base number when calculating the total number of products sold

Q: Can I use this calculation to calculate the total number of products sold for a non-linear sales pattern?

A: This calculation is based on a linear sales pattern, where the number of products sold each period is constant. If the sales pattern is non-linear, you will need to use a different calculation to determine the total number of products sold.

In conclusion, calculating the total number of shirts sold by an online clothing company requires a clear understanding of the properties of exponents and the ability to simplify complex expressions. By following the steps outlined in this article, you can apply this calculation to your own business and determine the total number of products sold.

The final answer is: $\boxed{6.08}$