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Chapter 3: Problem 54

Translate each phrase into an expression with integers. Do not simplify. a stock loss of $5

Short Answer

Expert verified
'-5'

Step by step solution

01

Identify Key Phrase

In the phrase 'a stock loss of \(5', the key terms are 'loss' and '\)5'. The term 'loss' indicates a negative value.
02

Translate to Integer Expression

Since 'loss' means negative, and the amount of loss is $5, we translate this into an integer expression as '-5'.

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Key Concepts

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

Translating Phrases to Expressions
When you're given a phrase and asked to translate it into an integer expression, you need to break down the phrase into simpler parts. Identify the key terms that give insights into whether the value is positive or negative.

For example, in the phrase 'a stock loss of \(5', the term 'loss' indicates something negative. Therefore, 'loss' translates to a negative sign ( - ). Next, identify the numerical value in the phrase. Here, it is '5'.

Putting this together, the phrase 'a stock loss of \)5' translates into the integer expression -5. This simple method keeps things clear and helps prevent mistakes.
Integer Operations
Integer operations include addition, subtraction, multiplication, and division of whole numbers. Working with integers follows specific rules that dictate how positive and negative values interact.

Here are some easy-to-remember rules:
  • Adding a positive integer increases the value (moves right on the number line).
  • Adding a negative integer decreases the value (moves left on the number line).
  • Subtracting a positive integer also decreases the value.
  • Subtracting a negative integer increases the value (double negative).
  • Multiplying/dividing two positive or two negative integers gives a positive result.
  • Multiplying/dividing a negative and a positive integer gives a negative result.
Understanding these rules helps in accurately performing operations with integers.
Negative Values
Negative values are numbers less than zero illustrated on the left side of the number line. They often represent things like loss, debt, or any deficit.

When working with negative values, it's crucial to pay attention to the context. For instance, a 'loss' typically means subtracting something, indicating a negative value. So 'a loss of 5' should be represented as -5.

Handling negative values in integer operations requires adhering to the outlined rules:
  • Negative + Negative = More Negative (e.g., -3 + -2 = -5)
  • Negative + Positive = Depends on which is larger (e.g., -3 + 5 = 2)
  • Negative - Positive = More Negative (e.g., -3 - 5 = -8)
  • Negative - Negative = Positive (e.g., -3 - (-5) = 2)
  • Multiplying and dividing follow the sign rules as mentioned before.
Negative values help represent real-world situations more accurately, particularly in financial contexts.

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