Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25x10-8 meters wide by 2.5x10-6 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 can use the fact that 1 meter equals 1,000 millimeters (or \(1 \text{ m} = 10^3 \text{ mm}\)).

Step 1: Convert the Width

The width of the sticky note is given in meters as: \[ 1.25 \times 10^{-8} \text{ meters} \]

To convert this to millimeters: \[ 1.25 \times 10^{-8} \text{ m} \times 10^3 \text{ mm/m} = 1.25 \times 10^{-8 + 3} \text{ mm} = 1.25 \times 10^{-5} \text{ mm} \]

Step 2: Convert the Length

The length of the sticky note is given in meters as: \[ 2.5 \times 10^{-6} \text{ meters} \]

To convert this to millimeters: \[ 2.5 \times 10^{-6} \text{ m} \times 10^3 \text{ mm/m} = 2.5 \times 10^{-6 + 3} \text{ mm} = 2.5 \times 10^{-3} \text{ mm} \]

Final Results

The dimensions of the sticky note in millimeters are:

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