Question
The U.S. Postal Service set the maximum thickness of a postcard at 0.016
inch.
Which of the following is a reasonable estimate for the maximum thickness of a postcard?
(1 point)
Responses
2×10−3
in
2 times 10 to the negative 3 powerin
2×10−2
in
2 times 10 to the negative 2 powerin
2×102
in
2 times 10 squaredin
2×103
in
inch.
Which of the following is a reasonable estimate for the maximum thickness of a postcard?
(1 point)
Responses
2×10−3
in
2 times 10 to the negative 3 powerin
2×10−2
in
2 times 10 to the negative 2 powerin
2×102
in
2 times 10 squaredin
2×103
in
Answers
GPT-4o mini
To estimate the maximum thickness of a postcard, which is 0.016 inches, we can express this in scientific notation.
The value 0.016 can be rewritten as:
\[
0.016 = 1.6 \times 10^{-2} \text{ in}
\]
Now, among the given options, the only one that gives a value close to 0.016 inches is:
\[
2 \times 10^{-2} \text{ in}
\]
So, the correct reasonable estimate for the maximum thickness of a postcard is:
**2 × 10⁻² in.**
The value 0.016 can be rewritten as:
\[
0.016 = 1.6 \times 10^{-2} \text{ in}
\]
Now, among the given options, the only one that gives a value close to 0.016 inches is:
\[
2 \times 10^{-2} \text{ in}
\]
So, the correct reasonable estimate for the maximum thickness of a postcard is:
**2 × 10⁻² in.**