College

If a piece of paper is [tex]$3 \times 10^{-3}$[/tex] inches thick, how thick is a stack of [tex]$1.95 \times 10^3$[/tex] pieces of paper?

The stack of [tex]$1.95 \times 10^3$[/tex] pieces of paper is [tex]$\square$[/tex] inches thick.

Answer :

To find the thickness of a stack of paper, we need to multiply the thickness of one piece of paper by the total number of pieces in the stack.

1. Understand the Thickness of One Piece:
- The thickness of each piece of paper is [tex]\(3 \times 10^{-3}\)[/tex] inches.

2. Know the Number of Pieces:
- There are [tex]\(1.95 \times 10^3\)[/tex] pieces in the stack. This is equivalent to 1950 pieces.

3. Calculate the Total Thickness:
- Multiply the thickness of one piece by the total number of pieces:
[tex]\[
\text{Total thickness} = (3 \times 10^{-3} \, \text{inches}) \times (1950 \, \text{pieces})
\][/tex]

- First, perform the multiplication:
[tex]\[
3 \times 1950 = 5850
\][/tex]

- Then, account for the powers of ten:
[tex]\[
5850 \times 10^{-3} = 5.85 \, \text{inches}
\][/tex]

Therefore, the stack of [tex]\(1.95 \times 10^3\)[/tex] pieces of paper is 5.85 inches thick.