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.

Question

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

(1 point)
Responses

1.25×10−6 by 2.5×10−4 millimeters
1.25 times 10 superscript negative 6 baseline by 2.5 times 10 superscript negative 4 baseline millimeters

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

Answer 1

To convert the dimensions from meters to millimeters, we use the fact that \(1 \text{ meter} = 1000 \text{ millimeters}\) or \(1 \text{ meter} = 10^3 \text{ millimeters}\).

Starting with the width:

\[ 1.25 \times 10^{-8} \text{ meters} \]

To convert to millimeters:

\[ 1.25 \times 10^{-8} \text{ meters} \times 10^3 \text{ mm/m} = 1.25 \times 10^{-8 + 3} \text{ mm} = 1.25 \times 10^{-5} \text{ mm} \]

Now for the length:

\[ 2.5 \times 10^{-6} \text{ meters} \]

To convert to millimeters:

\[ 2.5 \times 10^{-6} \text{ meters} \times 10^3 \text{ mm/m} = 2.5 \times 10^{-6 + 3} \text{ mm} = 2.5 \times 10^{-3} \text{ mm} \]

So the dimensions in millimeters are:

\[ 1.25 \times 10^{-5} \text{ mm} \text{ by } 2.5 \times 10^{-3} \text{ mm} \]

Therefore, the correct choice from your options is:

1.25×10−5 by 2.5×10−3 millimeters