Question

Select the correct answer.
Kale works in a packaging factory that has 900 employees. By the end of each day, they manage to package 3.2 x 105 products. What is the average
amount of products packaged per employee represented in scientific notation? Round so the first factor goes to the tenths place.
OA 0.36x103 products
O B.
3.6 x 102 products
OC.
0.36x102 products
O D.
3.6 x 10³ products
3.6 x 10¹ products
E.

Answer 1

Answer:

The correct answer is option B: 3.6 x 10² products

Step-by-step explanation:

First, we need to calculate the average amount of products packaged per employee. This can be done by dividing the total number of products packaged by the number of employees:

Average = Total products / Number of employees

Given:

Total products = 3.2 x 10⁵ (products)

Number of employees = 900

Average = (3.2 x 10⁵) / 900

≈ 3.6 x 10²

Answer 2

Answer:

$\sf B) \,\, 3.6 \times 10^2$ products

Step-by-step explanation:

To find the average amount of products packaged per employee, we need to divide the total number of products by the number of employees.

$\sf \textsf{Average} = \dfrac{\textsf{Total products}}{\textsf{Number of employees}}$

Given:

• Total products = $\sf 3.2 \times 10^5$
• Number of employees = $\sf 900$

Now,

Substitute the given value in above formula:

$\sf \textsf{Average} = \dfrac{3.2 \times 10^5}{900}$

$\sf \textsf{Average} = \dfrac{3.2 \times 10^5}{9 \times 10^2}$

To simplify, divide the coefficients and subtract the exponents:

$\sf \textsf{Average} = \dfrac{3.2}{9} \times 10^{5-2}$

$\sf \textsf{Average} = 0.3555555555555 \times 10^3$

This can be also written as:

$\sf \textsf{Average} = 3.555555555555 \times 10^2$

Now, round to the tenths place:

$\sf \textsf{Average} \approx 3.6 \times 10^2$

So, the average amount of products packaged per employee, represented in scientific notation and rounded to the tenths place, is:

$\sf B) \,\, 3.6 \times 10^2$