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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
Chapter 1, Problem 65

Find each product or quotient where possible. -14/2

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1
Identify the expression to simplify: \(-14 \div 2\).
Recall that division of two numbers can be written as a fraction: \(\frac{-14}{2}\).
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.
Perform the division in the numerator and denominator separately: \(\frac{-14 \div 2}{2 \div 2}\).
Write the simplified fraction or integer result after division.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Division of Integers

Division of integers involves dividing one whole number by another. When dividing negative and positive integers, the quotient's sign depends on the signs of the numbers: a negative divided by a positive results in a negative quotient.
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Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing the numerator and denominator by their greatest common divisor. This makes the fraction easier to understand and work with.
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Quotient as a Rational Number

The quotient of two integers is a rational number, which can be expressed as a fraction or a decimal. Understanding that division can result in whole numbers, fractions, or decimals is key to interpreting the answer correctly.
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