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. (1 point) Responses 1.25×10−11 by 2.5×10−9 millimeters 1.25 times 10 superscript negative 11 baseline by 2.5 times 10 superscript negative 9 baseline millimeters 1.25×10−10 by 2.5×10−8 millimeters 1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters 1.25×10−5 by 2.5×10−3 millimeters 1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed millimeters 1.25×10−6 by 2.5×10−4 millimeters

Answer 1

To convert the dimensions of the sticky note from meters to millimeters, we need to use the conversion factor that 1 meter is equal to 1000 millimeters (or \(10^3\) millimeters).

1. The width of the sticky note is \(1.25 \times 10^{-8}\) meters. To convert to millimeters:
\[
1.25 \times 10^{-8} \text{ meters} \times 10^3 \text{ mm/m} = 1.25 \times 10^{-8 + 3} = 1.25 \times 10^{-5} \text{ mm}
\]

2. The length of the sticky note is \(2.5 \times 10^{-6}\) meters. To convert to millimeters:
\[
2.5 \times 10^{-6} \text{ meters} \times 10^3 \text{ mm/m} = 2.5 \times 10^{-6 + 3} = 2.5 \times 10^{-3} \text{ mm}
\]

Putting it all together, the dimensions of the sticky note in millimeters are:
\[
1.25 \times 10^{-5} \text{ mm} \text{ wide by } 2.5 \times 10^{-3} \text{ mm} \text{ long}
\]

So the correct response is:
**1.25×10−5 by 2.5×10−3 millimeters**