Kendra finds 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 milimeters.

1 answer

To convert the dimensions of the sticky note from meters to millimeters, we need to remember that 1 meter is equal to 1,000 millimeters (or \(1 \text{ meter} = 10^3 \text{ millimeters}\)).

Now, let's convert each dimension:

  1. Width: \(1.25 \times 10^{-8} \text{ meters}\) \[ 1.25 \times 10^{-8} \text{ meters} \times 10^3 \text{ mm/m} = 1.25 \times 10^{-8 + 3} \text{ mm} = 1.25 \times 10^{-5} \text{ mm} \]

  2. Length: \(2.5 \times 10^{-6} \text{ meters}\) \[ 2.5 \times 10^{-6} \text{ meters} \times 10^3 \text{ mm/m} = 2.5 \times 10^{-6 + 3} \text{ mm} = 2.5 \times 10^{-3} \text{ mm} \]

So the dimensions of the sticky note in millimeters are:

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