Question

Consider the numbers 6 and -11.

Which of the following statements is true about the sum 6 + −11?
a. It is the number that is |6| units from 0 in a negative direction.
b. It is the number that is | − 11| units from 0 in a negative direction.
c. It is the number that is |6| units from −11 in a negative direction.
d. It is the number that is | − 11| units from 6 in a negative direction." (Mathematics):

a. |6| units from 0 in a negative direction
b. | − 11| units from 0 in a negative direction

Answer 1

The sum of 6 and -11 is -5, which is 5 units away from 0 in the negative direction, making answer option a correct.

Step-by-step explanation:

The correct answer is option a. When calculating the sum 6 + (-11), you are effectively subtracting 11 from 6. According to addition rules, when two numbers with opposite signs are added together, you subtract the smaller number from the larger, and the answer takes the sign of the larger number, in terms of absolute value. Since 11 is greater than 6 in absolute value, the sum will be negative, and you subtract 6 from 11 to get 5. Therefore, the sum is 5 units from 0 in a negative direction, making it -5. So the sum of 6 and -11, which is -5, is 5 units away from 0 in the negative direction, corresponding to the absolute value of 6.

It is the number that is |6| units from 0 in a negative direction.

To find the sum between 6 and -11, we simply add the two numbers together: 6 + (-11) = -5.

So, the sum of 6 and -11, which is -5, is the number that is |6| units from 0 in a negative direction.