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what's 1 plus 1

1 plus 1 equals 2.

Determine the sign of the product of −16.8×3/7 .(1 point)
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.

Multiply −17× (−61)

To multiply \(-17\) by \(-61\):

\[ -17 \times -61 = 1037 \]

The product of two negative numbers is positive. So, \(-17 \times -61 = 1037\).

Multiply −1.7 by 2 1/2. Write it as a mixed number in simplest form

To multiply \(-1.7\) by \(2 \frac{1}{2}\), first convert \(2 \frac{1}{2}\) to an improper fraction.

  1. Convert \(2 \frac{1}{2}\) to an improper fraction: \[ 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} \]

  2. Now, multiply \(-1.7\) by \(\frac{5}{2}\): \[ -1.7 \times \frac{5}{2} = -\frac{17}{10} \times \frac{5}{2} = -\frac{17 \times 5}{10 \times 2} = -\frac{85}{20} \]

  3. Simplify \(-\frac{85}{20}\): \[ -\frac{85 \div 5}{20 \div 5} = -\frac{17}{4} \]

  4. 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, \(-1.7 \times 2 \frac{1}{2} = -4 \frac{1}{4}\).

Multiply -9 1/2 by 0.04

To multiply \(-9 \frac{1}{2}\) by \(0.04\), follow these steps:

  1. Convert the mixed number to an improper fraction: \[ -9 \frac{1}{2} = -\left(9 \times 2 + 1\right) / 2 = -\frac{19}{2} \]

  2. Convert \(0.04\) to a fraction: \[ 0.04 = \frac{4}{100} = \frac{1}{25} \quad (\text{simplifying by dividing both numerator and denominator by 4}) \]

  3. 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 \(-0.38\).