Question

Question
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.

Note: 1 meter is equal to 1,000 millimeters.

Answer 1

To convert the dimensions of the sticky note from meters to millimeters, we need to multiply each dimension by 1,000 (since 1 meter equals 1,000 millimeters).

Let's start with the width:

1. **Width in meters:** \( 1.25 \times 10^{-8} \) meters

Now convert to millimeters:

\[
\text{Width in millimeters} = 1.25 \times 10^{-8} \, \text{meters} \times 1000 \, \text{mm/m} = 1.25 \times 10^{-8} \times 10^{3} \, \text{mm}
\]

\[
= 1.25 \times 10^{-5} \, \text{mm}
\]

Next, let's do the length:

2. **Length in meters:** \( 2.5 \times 10^{-6} \) meters

Now convert to millimeters:

\[
\text{Length in millimeters} = 2.5 \times 10^{-6} \, \text{meters} \times 1000 \, \text{mm/m} = 2.5 \times 10^{-6} \times 10^{3} \, \text{mm}
\]

\[
= 2.5 \times 10^{-3} \, \text{mm}
\]

So the dimensions of the sticky note in millimeters are:

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