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Answer :
To estimate the product of [tex]\(3.55 \times 9.2\)[/tex] using a power of ten, we can round each number to a value that makes the multiplication easier, usually to the nearest whole number.
1. Round 3.55: This number is close to 4, so we can round it to 4.
2. Round 9.2: This number is close to 9, so we can round it to 9.
Now we multiply the rounded numbers:
[tex]\[
4 \times 9 = 36
\][/tex]
So, the estimated product of [tex]\(3.55 \times 9.2\)[/tex] is approximately 36.
Among the answer choices provided:
- 35.5
- 55.3
- 92
- 27
The closest option to our estimate of 36 is 35.5.
Therefore, using a rough estimation by rounding, the best answer choice is 35.5.
1. Round 3.55: This number is close to 4, so we can round it to 4.
2. Round 9.2: This number is close to 9, so we can round it to 9.
Now we multiply the rounded numbers:
[tex]\[
4 \times 9 = 36
\][/tex]
So, the estimated product of [tex]\(3.55 \times 9.2\)[/tex] is approximately 36.
Among the answer choices provided:
- 35.5
- 55.3
- 92
- 27
The closest option to our estimate of 36 is 35.5.
Therefore, using a rough estimation by rounding, the best answer choice is 35.5.
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