Kendra finds the dimensions of a sticky note. she uses a meter stick to determine that the dimensions are 1.25 x 10^{-8} meters wide by 2.5 x 10^{-6} meters long use scientific notation to write the dimensions in millimeters

1 answer

To convert the dimensions of the sticky note from meters to millimeters, we use the conversion factor that 1 meter equals 1000 millimeters (or \(10^3\) millimeters).

1. For the width:

  • The width is given as \(1.25 \times 10^{-8}\) meters.
  • To convert to millimeters, we multiply by \(10^3\):

\[ \text{Width in mm} = 1.25 \times 10^{-8} \text{ m} \times 10^3 \frac{\text{mm}}{\text{m}} = 1.25 \times 10^{-8 + 3} \text{ mm} = 1.25 \times 10^{-5} \text{ mm} \]

2. For the length:

  • The length is given as \(2.5 \times 10^{-6}\) meters.
  • To convert to millimeters, we multiply by \(10^3\):

\[ \text{Length in mm} = 2.5 \times 10^{-6} \text{ m} \times 10^3 \frac{\text{mm}}{\text{m}} = 2.5 \times 10^{-6 + 3} \text{ mm} = 2.5 \times 10^{-3} \text{ mm} \]

Final dimensions in millimeters:

  • Width: \(1.25 \times 10^{-5}\) mm
  • Length: \(2.5 \times 10^{-3}\) mm

Thus, the dimensions of the sticky note in millimeters are:

  • Width: \(1.25 \times 10^{-5}\) mm
  • Length: \(2.5 \times 10^{-3}\) mm