kendra finds the dimensions of a sticky note. she uses a meter stick to determine that the dimensions are 1.25 x 10-^8 meters wide by 2.5 x 10-^6 meters long. use scientific notation to write the dimensions in millimeters.

Question

1.25 x 10-^11 by 2.5 x 10-^9 millimeters
1.25 x 10-^6 by 2.5 x 10-^4 millimeters
1.25 x 10-^5 by 2.5 x 10-^3 millimeters
1.25 x 10-^10 by 2.5 x 10-^8 millimeters

Answer 1

To convert the dimensions from meters to millimeters, we need to multiply the values by \(1000\) (since there are \(1000\) millimeters in a meter). This can be done directly by adjusting the scientific notation.

For the width:

\[ 1.25 \times 10^{-8} , \text{meters} = 1.25 \times 10^{-8} \times 1000 = 1.25 \times 10^{-8} \times 10^3 = 1.25 \times 10^{-5} , \text{millimeters} \]

For the length:

\[ 2.5 \times 10^{-6} , \text{meters} = 2.5 \times 10^{-6} \times 1000 = 2.5 \times 10^{-6} \times 10^3 = 2.5 \times 10^{-3} , \text{millimeters} \]

So, the dimensions in millimeters are:

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

This matches the option:

1.25 x 10^-5 by 2.5 x 10^-3 millimeters