Problem 26

Question

Find each sum without the use of a number line. $$3+(-11)$$

Step-by-Step Solution

Verified
Answer
The sum of \(3 + (-11)\) is \(-8\).
1Step 1: Understand the situation
Given the expression \(3 + (-11)\), it is noticed that we want to find the sum of a positive and a negative number. In such cases, one should essentially subtract the absolute value of the negative number from the positive one.
2Step 2: Perform addition
When adding the numbers, instead of addition, perform subtraction by taking the absolute value of the negative number. So, \(3 + (-11)\) is equivalent to \(3 - 11\).
3Step 3: Compute the result
Perform the subtraction, which will give us a result of \(-8\).