Question

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

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

(1 point)
Responses

1.25×10 to the power of −5 by 2.5×10 to the power of −3 millimeters
1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed millimeters

1.25×10 to the power of −6 by 2.5×10 to the power of −4 millimeters
1.25 times 10 superscript negative 6 baseline by 2.5 times 10 superscript negative 4 baseline millimeters

1.25×10 to the power of −10 by 2.5×10 to the power of −8 millimeters
1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters

1.25×10 to the power of −11 by 2.5×10 to the power of −9 millimeters

Answer 1

To convert the dimensions of the sticky note from meters to millimeters, we use the fact that 1 meter is equal to 1,000 millimeters (or \(10^3\) mm).

1. **Width**: Kendra measures the width as \(1.25 \times 10^{-8}\) meters.

To convert to millimeters:
\[
1.25 \times 10^{-8} \, \text{meters} \times 1000 \, \text{mm/m} = 1.25 \times 10^{-8} \times 10^3 \, \text{mm} = 1.25 \times 10^{-5} \, \text{mm}
\]

2. **Length**: Kendra measures the length as \(2.5 \times 10^{-6}\) meters.

To convert to millimeters:
\[
2.5 \times 10^{-6} \, \text{meters} \times 1000 \, \text{mm/m} = 2.5 \times 10^{-6} \times 10^3 \, \text{mm} = 2.5 \times 10^{-3} \, \text{mm}
\]

Now we can summarize the dimensions in millimeters:
- Width: \(1.25 \times 10^{-5} \, \text{mm}\)
- Length: \(2.5 \times 10^{-3} \, \text{mm}\)

So, the answer in scientific notation for the dimensions in millimeters is:
**1.25×10 to the power of −5 by 2.5×10 to the power of −3 millimeters.**