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