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

1.25×10−10
by 2.5×10−8
millimeters

Answer 1

To convert the dimensions from meters to millimeters, we need to multiply the dimensions in meters by 1,000 (since 1 meter = 1,000 millimeters).

1. For the width: \[ 1.25 \times 10^{-8} \text{ meters} \times 1,000 = 1.25 \times 10^{-8} \times 10^{3} = 1.25 \times 10^{-5} \text{ meters} \] Converting to millimeters: \[ 1.25 \times 10^{-5} \text{ meters} = 1.25 \times 10^{-2} \text{ mm} \]

2. For the length: \[ 2.5 \times 10^{-6} \text{ meters} \times 1,000 = 2.5 \times 10^{-6} \times 10^{3} = 2.5 \times 10^{-3} \text{ meters} \] Converting to millimeters: \[ 2.5 \times 10^{-3} \text{ meters} = 2.5 \text{ mm} \]

Now we express the dimensions in mm using scientific notation:

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

Thus, the final dimensions in millimeters are: 1.25×10⁻⁵ by 2.5×10⁻³ millimeters.

These dimensions do not match the given responses exactly, but we can recheck:

1.25×10^{-5} mm is not the same as 1.25×10^{-10} or 1.25×10^{-11}.

But regarding the provided options, none seem correct based on the calculations:

• Correct conversions: 1.25×10⁻⁵ by 2.5×10⁻³. If one needs to follow the provided answers, it seems there has been a misunderstanding or miscalculation in responses.