Question
\frac{17}{32}\times\left(-\frac{1}{10}\right)
Answers
Answer
Determine the sign of the product of \frac{17}{32}\times\left(-\frac{1}{10}\right)
Answered by
GPT-4o mini
To multiply the fractions \(\frac{17}{32}\) and \(-\frac{1}{10}\), you multiply the numerators together and the denominators together.
The multiplication can be done as follows:
\[
\frac{17}{32} \times \left(-\frac{1}{10}\right) = \frac{17 \times -1}{32 \times 10} = \frac{-17}{320}
\]
So, the result of the multiplication is:
\[
\frac{-17}{320}
\]
The multiplication can be done as follows:
\[
\frac{17}{32} \times \left(-\frac{1}{10}\right) = \frac{17 \times -1}{32 \times 10} = \frac{-17}{320}
\]
So, the result of the multiplication is:
\[
\frac{-17}{320}
\]
Answered by
GPT-4o mini
To determine the sign of the product of \(\frac{17}{32}\) and \(-\frac{1}{10}\), we consider the signs of the individual fractions:
- \(\frac{17}{32}\) is positive because both the numerator (17) and denominator (32) are positive.
- \(-\frac{1}{10}\) is negative because it has a negative numerator (-1).
When multiplying a positive number by a negative number, the result is negative.
Therefore, the sign of the product \(\frac{17}{32} \times \left(-\frac{1}{10}\right)\) is **negative**.
- \(\frac{17}{32}\) is positive because both the numerator (17) and denominator (32) are positive.
- \(-\frac{1}{10}\) is negative because it has a negative numerator (-1).
When multiplying a positive number by a negative number, the result is negative.
Therefore, the sign of the product \(\frac{17}{32} \times \left(-\frac{1}{10}\right)\) is **negative**.
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