Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters.

Answer 1

To convert the dimensions from meters to millimeters, we can use the conversion factor that \(1 \text{ meter} = 1000 \text{ millimeters} = 10^3 \text{ millimeters}\).

1. Width:

   • Current width: \(1.25 \times 10^{-8} \text{ meters}\)
   • To convert to millimeters: \[ (1.25 \times 10^{-8} \text{ meters}) \times (10^3 \text{ millimeters/meter}) = 1.25 \times 10^{-8 + 3} \text{ millimeters} = 1.25 \times 10^{-5} \text{ millimeters} \]

2. Length:

   • Current length: \(2.5 \times 10^{-6} \text{ meters}\)
   • To convert to millimeters: \[ (2.5 \times 10^{-6} \text{ meters}) \times (10^3 \text{ millimeters/meter}) = 2.5 \times 10^{-6 + 3} \text{ millimeters} = 2.5 \times 10^{-3} \text{ millimeters} \]

Therefore, in scientific notation, the dimensions of the sticky note are:

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