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11 answers
1 plus 1 equals 2.
Responses
positive
positive
The product has no sign.
The product has no sign.
both positive and negative
both positive and negative
negative
To determine the sign of the product \(-16.8 \times \frac{3}{7}\), we can analyze the factors involved:
- The number \(-16.8\) is negative.
- The fraction \(\frac{3}{7}\) is positive.
When multiplying a negative number by a positive number, the product is negative.
Therefore, the sign of the product \(-16.8 \times \frac{3}{7}\) is negative.
To multiply \(-17\) by \(-61\):
\[ -17 \times -61 = 1037 \]
The product of two negative numbers is positive. So, \(-17 \times -61 = 1037\).
To multiply \(-1.7\) by \(2 \frac{1}{2}\), first convert \(2 \frac{1}{2}\) to an improper fraction.
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Convert \(2 \frac{1}{2}\) to an improper fraction: \[ 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} \]
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Now, multiply \(-1.7\) by \(\frac{5}{2}\): \[ -1.7 \times \frac{5}{2} = -\frac{17}{10} \times \frac{5}{2} = -\frac{17 \times 5}{10 \times 2} = -\frac{85}{20} \]
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Simplify \(-\frac{85}{20}\): \[ -\frac{85 \div 5}{20 \div 5} = -\frac{17}{4} \]
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Convert \(-\frac{17}{4}\) to a mixed number: \[ -\frac{17}{4} = -4 \frac{1}{4} \quad (\text{since } 17 \div 4 = 4 \text{ remainder } 1) \]
So, \(-1.7 \times 2 \frac{1}{2} = -4 \frac{1}{4}\).
To multiply \(-9 \frac{1}{2}\) by \(0.04\), follow these steps:
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Convert the mixed number to an improper fraction: \[ -9 \frac{1}{2} = -\left(9 \times 2 + 1\right) / 2 = -\frac{19}{2} \]
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Convert \(0.04\) to a fraction: \[ 0.04 = \frac{4}{100} = \frac{1}{25} \quad (\text{simplifying by dividing both numerator and denominator by 4}) \]
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Multiply the fractions: \[ -\frac{19}{2} \times \frac{1}{25} = -\frac{19 \times 1}{2 \times 25} = -\frac{19}{50} \]
So, the result of multiplying \(-9 \frac{1}{2}\) by \(0.04\) is \(-\frac{19}{50}\). If required, you can leave your answer as a fraction or convert it to decimal: \[ -\frac{19}{50} = -0.38 \]
Thus, \(-9 \frac{1}{2} \times 0.04 = -\frac{19}{50}\) or \(-0.38\).