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 x 10^-6 meters long.

Question

Use scientific notation to write the dimensions in millimeters.

Answer 1

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 \( 1 \text{ m} = 10^3 \text{ mm} \).

1. Width:

   • Kendra's width is \( 1.25 \times 10^{-8} \) meters.
   • To convert this to millimeters: \[ \text{Width in mm} = 1.25 \times 10^{-8} \text{ m} \times 10^3 \text{ mm/m} = 1.25 \times 10^{-5} \text{ mm} \]

2. Length:

   • Kendra's length is \( 2.5 \times 10^{-6} \) meters.
   • To convert this to millimeters: \[ \text{Length in mm} = 2.5 \times 10^{-6} \text{ m} \times 10^3 \text{ mm/m} = 2.5 \times 10^{-3} \text{ mm} \]

Putting it all together, the dimensions of the sticky note in millimeters are:

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