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Chapter 2: Problem 9

Write an integer that represents each numerical value. Patrick lost 14 lb on a diet.

Short Answer

Expert verified
-14

Step by step solution

01

Understand the Context

Patrick lost 14 pounds on a diet. This means he reduced his weight by 14 pounds, which represents a decrease or a negative change.
02

Identify the Numerical Value

The numerical value from the problem is 14 pounds. Since it is a loss, we need to indicate that it is a negative value.
03

Write the Integer

Represent the 14-pound loss as an integer. Since it is a loss, the integer should be negative.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

negative numbers
In mathematics, negative numbers are used to represent values that are less than zero. For example, if you lose or decrease an amount, it is shown as a negative number.
In the provided exercise, Patrick lost 14 pounds, so we need to represent this loss as a negative number. Instead of simply writing 14, you write -14, where the minus sign indicates a reduction.

Understanding negative numbers is important because it helps in differentiating gains (positive) from losses (negative). In everyday life, this concept applies to contexts like heading below sea level (negative altitude), financial debts (negative balance), or temperature drops below zero (negative degrees).
weight loss
Weight loss is the process of reducing body weight. In the problem, Patrick's weight loss of 14 pounds means that his weight decreased by that amount. To show this reduction in mathematical terms, we should use a negative sign.

In practical terms:
  • A positive number shows a gain or increase.
  • A negative number shows a loss or decrease.

This is crucial for clearly communicating changes in quantity. Whenever you mention weight loss in math, it鈥檚 essential to represent it with a negative number to indicate the reduction. For instance, losing 5 kilograms is shown as -5 kg.
understanding context
Understanding the context of a problem is essential in determining how to interpret and solve it.

In Patrick鈥檚 case, knowing that he lost weight informs us that the change is negative. Without this context, you might mistakenly show a weight gain. Context helps you correctly assign the positive or negative sign.

Let's break it down:
  • Context: Patrick lost weight.
  • Numerical value: 14 lb.
  • Mathematical representation: -14, as it signifies a loss.
Without understanding the context, one might misrepresent the problem. Always look at the details provided in a problem to decide if the change is positive or negative. This ensures accurate mathematical representation.

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Most popular questions from this chapter

Travis wrote five checks to the employees of his business, each for \(\$ 225 .\) If the original balance in his checking account was \(\$ 890,\) what is his new balance?

Translate each English phrase to a mathematical expression. Then simplify. 320 decreased by \(-20\)

Rank the numbers from least to greatest. If \(a\) represents a negative number, then what is the sign of \(-a ?\)

Divide the real numbers, if possible. $$\frac{300}{-2}$$

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