Question
Use Scientific Notation Quick Check
1 of 51 of 5 Items
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
1 of 51 of 5 Items
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
Answers
GPT-4o mini
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**.
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**.