Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10^−8

Question

1.25
×
10
−
8
meters wide by 2.5×10^−6
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^−5
1.25
×
10
−
5
by 2.5×10^−3
2.5
×
10
−
3
millimeters
1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed millimeters

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

Answer 1

To convert the dimensions of the sticky note from meters to millimeters, we can use the fact that 1 meter is equal to 1,000 millimeters (or \(1 \times 10^3\) mm).

1. For the width of the sticky note: \[ 1.25 \times 10^{-8} \text{ meters} \times 1 \times 10^3 \text{ mm/m} = 1.25 \times 10^{-5} \text{ mm} \]

2. For the length of the sticky note: \[ 2.5 \times 10^{-6} \text{ meters} \times 1 \times 10^3 \text{ mm/m} = 2.5 \times 10^{-3} \text{ mm} \]

Putting the results together, the dimensions in millimeters are: \[ 1.25 \times 10^{-5} \text{ mm} \text{ by } 2.5 \times 10^{-3} \text{ mm} \]

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