What is the quotient when you divide −1011 by −25?(1 point)

Responses

−2 3/11

2 3/11

4/11

2 3/4

The correct answer is 2 3/4.

What is the quotient when you divide −34 by 38?(1 point)

Responses

2

−2

−3 5/9

−9 3/2

The correct answer is -1.

To find the quotient when you divide -1011 by -25, follow these steps:

Step 1: Divide the absolute values of the numbers:
1011 ÷ 25 = 40 remainder 11

Step 2: Determine the signs of the quotient:
Since both numbers are negative, the quotient will be positive.

Step 3: Combine the sign and the quotient:
The quotient will be positive 40.

Therefore, the correct answer is:
40

To find the quotient when you divide -1011 by -25, you need to perform long division. Here is a step-by-step explanation:

1. Begin by writing -1011 as the dividend and -25 as the divisor.

-1011 ÷ -25

2. Divide the first digit of the dividend (1) by the divisor (-25). Since -1 ÷ -25 is positive, the quotient starts with a positive sign. The quotient will be 0, and the remainder will be the same as the dividend since the absolute value of the divisor is greater than the absolute value of the dividend.

Quotient = 0
Remainder = -1011

3. Bring down the next digit (0) from the dividend to the remainder.

Remainder = -101
Bring down 0

4. Divide the new dividend (-101) by the divisor (-25). The quotient will still be positive.

-101 ÷ -25 = 4

Quotient = 4
Remainder = 0

5. There is no more digit left in the dividend, so the division is complete.

The quotient is 4 and there is no remainder.

Therefore, the correct answer is 4.