Question

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

1.25×10−5 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
1.25 times 10 superscript negative 6 baseline by 2.5 times 10 superscript negative 4 baseline millimeters

1.25×10−10 by 2.5×10−8 millimeters

Answer 1

To convert the dimensions from meters to millimeters, we need to multiply the values in meters by 1,000, since 1 meter equals 1,000 millimeters.

1. Width: \[ 1.25 \times 10^{-8} , \text{meters} = 1.25 \times 10^{-8} \times 1,000, \text{millimeters} \] \[ = 1.25 \times 10^{-8} \times 10^{3}, \text{millimeters} = 1.25 \times 10^{-5}, \text{millimeters} \]

2. Length: \[ 2.5 \times 10^{-6} , \text{meters} = 2.5 \times 10^{-6} \times 1,000, \text{millimeters} \] \[ = 2.5 \times 10^{-6} \times 10^{3}, \text{millimeters} = 2.5 \times 10^{-3}, \text{millimeters} \]

Now we have the dimensions in millimeters:

• Width: \(1.25 \times 10^{-5}\) millimeters
• Length: \(2.5 \times 10^{-3}\) millimeters

The correct response is: 1.25×10−5 by 2.5×10−3 millimeters.