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Chapter 1: Problem 18

Find each sum without the use of a number line. $$-1.5+(-5.3)$$

Short Answer

Expert verified
The sum of -1.5 and -5.3 is -6.8

Step by step solution

01

Identify The Type of Numbers and Operation

The numbers are both negative decimal numbers and the operation to be done is addition.
02

Apply the Rules for Adding Negative Numbers

The rules for adding negatives numbers states that when adding two negatives numbers, the result is a negative. This follows from the simple logic that negative plus negative amounts to an increased negative value. Hence, instead of direct addition, an absolute addition is done and the negative sign is attached.
03

Perform the Addition

Ignore the negative signs and perform the addition: \(1.5 + 5.3 = 6.8\) then attach the negative sign to get: \(-6.8\)

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Most popular questions from this chapter

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 6 times a number and \(-5\) times the number.

Simplify each algebraic expression. $$5-7 b-13-4 b$$

Simplify each series of additions and subtractions. $$-1.9-3-(-0.26)$$

Simplify each series of additions and subtractions. $$-9-5+4-17$$

Identify the terms in each algebraic expression. $$8 a-7 a b-13$$
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