Use Scientific Notation Quick Check

Question

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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

1.25×10−10
by 2.5×10−8
millimeters
1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters

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

1.25×10−11
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

Answer 1

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

Let's convert each dimension:

1. Width: \[ 1.25 \times 10^{-8} \text{ meters} \times 1000 = 1.25 \times 10^{-8} \times 10^{3} = 1.25 \times 10^{-5} \text{ millimeters} \]

2. Length: \[ 2.5 \times 10^{-6} \text{ meters} \times 1000 = 2.5 \times 10^{-6} \times 10^{3} = 2.5 \times 10^{-3} \text{ millimeters} \]

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

From the provided options, the correct response is: 1.25×10−5 by 2.5×10−3 millimeters.