When multiplying two rational numbers, how is the sign of the product determined?(1 point)
Responses
The product is positive if the signs of the factors are the same.
The product is positive if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.
The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the smaller factor.
The sign of the product is always the same as the smaller factor.
The product is positive if the signs of the factors are the same.
On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?(1 point)
Responses
Rise 4°
Rise 4 degrees
Rise 9°
Rise 9 degrees
Fall 4°
Fall 4degree
Fall 5°
Fall 4°
To determine the sign of the product when multiplying two rational numbers, follow these steps:
1. Determine the signs of the factors.
- If both factors are positive (+), the product is positive.
- If both factors are negative (-), the product is positive.
2. If the signs of the factors are different:
- If one factor is positive (+) and the other is negative (-), the product is negative.
Therefore, the correct answer is: "The product is positive if the signs of the factors are the same."
Divide −3/17
by −2/3
(1 point)
Responses
934
9 over 34
217
2 over 17
−217
negative 2 over 17
−9/34
To divide −3/17 by −2/3, you can follow the steps for dividing rational numbers:
1. Keep the first fraction as it is: −3/17.
2. Flip the second fraction: −2/3 becomes 3/−2.
3. Multiply the first fraction by the reciprocal of the second fraction: (−3/17) * (3/−2).
4. Simplify the expression: (−3 * 3) / (17 * −2) = −9 / (34).
Therefore, the correct answer is: −9/34.
Question
Find the product.
4/7(−20/2)
(1 point)
Responses
−235
negative 2 over 35
557
5 and 5 sevenths
−557
negative 5 and 5 sevenths
−9 3/7
To find the product of 4/7 * (-20/2), you can follow the steps for multiplying rational numbers:
1. Multiply the numerators together: 4 * (-20) = -80.
2. Multiply the denominators together: 7 * 2 = 14.
3. Simplify the resulting fraction: -80/14 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives us -40/7.
Therefore, the correct answer is: -40/7, which can also be written as -5 and 5/7.
The elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?(1 point)
Responses
22 feet
22 feet
-52 feet
-52 feet
37 feet
37 feet
52 feet