Question

DIVIDE THE FOLLOWING INTEGERS.
A. -78/ 12
B. - 155 /-5
C. 100 /-4

Answer 1

A. -6.5

B. 31

C. -25

Explanation:

A. Using long division, we know that 12 goes into 78 exactly 6 times without going over, so 12 times 6 is 72, but we get a remainder of 6. The remainder, 6, is half of 12. Half can be written as 0.5 in a decimal. So our answer is 6+0.5=6.5 but 78 is a negative and 12 is positive so 6.5 has to be negative. You can also just use a calculator.

B. Again, we could use long division to find how many times 5 goes into 155. The answer we got was that 5 goes into 155 exactly 31 times. This time, we didn't get a remainder but we have to watch out for the negatives. 155 and 5 are both negative, which means that the negative gets canceled out so our answer will be positive 31.

C. Lastly, we used long division to find out how many times 4 goes into 100. The answer that we got was 25 and we did not get a remainder but one of the numbers, 4, is a negative and when only one number is negative, the answer will also be negative. The final answer is negative 25.

Also, if you are wondering how long division works, I provided an example that shows all the steps.

Answer 2

A. -6.5

B. 31

C.-25

Explanation:

A. -78/12 = -6.5 ( A negative number divided by a positive number should result as a negative)

B. 31 (A negative divided by a positive should result as a positive)

C. -25 ( A positive divided by a negative should result as a negative)

A very helpful way to divided numbers is to first ignore the negative signs and do the division first. Then you should add the negative or positive sign in the end.