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

1.25×10−6 by 2.5×10−4 millimeters
1.25 times 10 superscript negative 6 baseline by 2.5 times 10 superscript negative 4 baseline millimeters
1.25×10−5 by 2.5×10−3 millimeters
1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed millimeters
1.25×10−10 by 2.5×10−8 millimeters
1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters
1.25×10−11 by 2.5×10−9 millimeters

Answer 1

To convert the dimensions of the sticky note from meters to millimeters, we need to remember that 1 meter equals 1,000 millimeters, which can be expressed in scientific notation as \(1 , \text{meter} = 1 \times 10^3 , \text{millimeters}\).

Now, let's convert the given dimensions:

1. Width: \(1.25 \times 10^{-8} , \text{meters}\) \[ 1.25 \times 10^{-8} , \text{meters} \times 1000 , \text{mm/m} = 1.25 \times 10^{-8} \times 10^3 , \text{millimeters} = 1.25 \times 10^{-5} , \text{millimeters} \]

2. Length: \(2.5 \times 10^{-6} , \text{meters}\) \[ 2.5 \times 10^{-6} , \text{meters} \times 1000 , \text{mm/m} = 2.5 \times 10^{-6} \times 10^3 , \text{millimeters} = 2.5 \times 10^{-3} , \text{millimeters} \]

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

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