Chapter 2.4, Problem 34E

### Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580

Chapter
Section

### Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580
Textbook Problem

# Perform the indicated operations and simplify: ( − 2 ) ( − 1 − 4 )

To determine

To calculate: The simplified form of the expression (2)(14) by performing the indicated operation.

Explanation

Given Information:

The provided expression is (âˆ’2)(âˆ’1âˆ’4).

Formula used:

1. Equivalent signed fractions:

aâˆ’b=âˆ’ab=âˆ’ab

The equivalent signed fraction shows that a negative fraction can be written in three different but equivalent forms.

Where,

âˆ’ab Is the customary form.

In case of âˆ’aâˆ’b=ab, use dividing signed numbers rules.

2. Multiplying two signed numbers includes:

1. In order to multiply two numbers having same sign, their absolute values must be multiplied. With this a positive result will be obtained.

2. And in order to multiply two numbers with different signs, their absolute values must be multiplied and before the product a negative sign must be placed.

3. Dividing two signed numbers includes:

(i) In order to divide two numbers having same sign, their absolute values must be divided. With this a positive quotient will be obtained.

(ii) And in order to divide two numbers with different signs, their absolute values must be divided and before the quotient a negative sign must be placed.

Calculation:

Consider the expression:

(âˆ’2)(âˆ’1âˆ’4)

Rewrite (âˆ’2) as (âˆ’21) in the above expression

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