Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10

Question

−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)

1.25×10
−6
by 2.5×10
−4
millimeters
1.25×10
−5
by 2.5×10
−3
millimeters
1.25×10
−11
by 2.5×10
−9
millimeters
1.25×10
−10
by 2.5×10
−8
millimeters

Answer 1

To convert Kendra's dimensions from meters to millimeters, we need to remember that 1 meter is equal to 1,000 millimeters, or \(1 \text{ meter} = 10^{3} \text{ millimeters}\).

Given dimensions in meters:

• Width: \(1.25 \times 10^{-8}\) meters
• Length: \(2.5 \times 10^{-6}\) meters

Converting to millimeters:

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

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

Final dimensions in millimeters:

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 is:

1.25×10^−5 by 2.5×10^−3 millimeters.