Question

Suppose a sheet of 100 stamps is 0.91 millimeters thick. If a stack of sheets contains 100,000 stamps, how many millimeters thick is the stack? Write the answer in scientific notation.

Answer 1

Explanation:

To find the thickness of a stack of sheets containing 100,000 stamps, we need to calculate the thickness of one sheet and then multiply it by the number of sheets in the stack.

Given that a sheet of 100 stamps is 0.91 millimeters thick, we can express this as:

Thickness of one sheet = 0.91 millimeters

Now, to find the thickness of 100,000 stamps, we need to calculate it for one sheet and then multiply it by the number of sheets:

Thickness of 100,000 stamps = (Thickness of one sheet) * (Number of sheets)

Thickness of 100,000 stamps = 0.91 millimeters * 1 * 1000 (since 100,000 stamps is equivalent to 1000 sheets of 100 stamps each)

Thickness of 100,000 stamps = 910 millimeters

Now, express this thickness in scientific notation. In scientific notation, we represent it as follows:

910 millimeters = 9.1 x 10^2 millimeters

So, the thickness of the stack of sheets containing 100,000 stamps is 9.1 x 10^2 millimeters in scientific notation.