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Chapter 1: Problem 26

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

Short Answer

Expert verified
The sum of \(3 + (-11)\) is \(-8\).

Step by step solution

01

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.
02

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 \(3 - 11\).
03

Compute the result

Perform the subtraction, which will give us a result of \(-8\).

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Most popular questions from this chapter

A multiplication is expressed as a repeated addition. Find this sum, indicated by a question mark. $$4(-3)=(-3)+(-3)+(-3)+(-3)=?$$

Perform the indicated subtraction. $$\frac{1}{7}-\left(-\frac{3}{7}\right)$$

Simplify each series of additions and subtractions. $$2-\frac{3}{4}-\left(-\frac{7}{8}\right)$$

Simplify each series of additions and subtractions. $$-19-8-(-6)+(-21)$$

Simplify each series of additions and subtractions. $$9-8+3-7$$
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