How is the sign of the quotient determined?(1 point)

Responses

The quotient is positive if signs of the divisor and dividend are the same.
The quotient is positive if signs of the divisor and dividend are the same.

The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.

The quotient is negative if signs of the divisor and dividend are the same.
The quotient is negative if signs of the divisor and dividend are the same.

The sign of the quotient is the same as the larger number

5 answers

The correct response is: The quotient is positive if signs of the divisor and dividend are the same.

In mathematical terms, when both the dividend and divisor have the same sign (both positive or both negative), their quotient is positive. Conversely, when one is positive and the other is negative, the quotient is negative.

Find the product.

−5(−10)(12)
(1 point)
Responses

-12000
-12000

-6000
-6000

600
600

120
120

-600

To find the product of \(-5 \times (-10) \times 12\):

  1. First, calculate \(-5 \times -10\): \[ -5 \times -10 = 50 \quad (\text{because the product of two negative numbers is positive}) \]

  2. Next, multiply the result by \(12\): \[ 50 \times 12 = 600 \]

Therefore, the product is \(600\).

The correct response is: 600.

What is 3/8÷2
?(1 point)
Responses

5 1/3
5 and 1 third

3/16
3 over 16

1 1/3
1 and 1 third

1/4

To solve \( \frac{3}{8} \div 2 \), you can convert \(2\) to a fraction by writing it as \( \frac{2}{1} \), and then apply the rule that dividing by a fraction is the same as multiplying by its reciprocal:

\[ \frac{3}{8} \div 2 = \frac{3}{8} \div \frac{2}{1} = \frac{3}{8} \times \frac{1}{2} \]

Now multiply the fractions:

\[ \frac{3 \times 1}{8 \times 2} = \frac{3}{16} \]

Therefore, \( \frac{3}{8} \div 2 = \frac{3}{16} \).

The correct response is: 3/16.