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Chapter 10: Problem 29

Write each expression in words. $$ -1-(+4) $$

Short Answer

Expert verified
Negative one subtract positive four.

Step by step solution

01

Interpret the Expression

The expression given is \(-1 - (+4)\). This consists of a negative number \(-1\) and a subtraction of \(+4\). The plus sign in front of \(4\) signifies that it is a positive number.
02

Translate Components into Words

First, translate \(-1\) into words, which is 'negative one'. Then translate \(-\) as 'subtract'. Finally, translate \(+4\) as 'positive four'.
03

Combine Translations into a Full Sentence

Combine the translations from Step 2: 'negative one subtract positive four'. This reads the expression in words, describing each component in the order given.

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Key Concepts

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

Negative Numbers
Negative numbers are those numbers that are less than zero. They are represented with a minus sign (-) before the number.
These types of numbers are commonly used to signify opposite directions or deficits in various applications, like temperature, finances, or elevations below sea level.
  • Negative values indicate a reversal, such as owing money (negative balance) or decreasing temperatures below freezing.
  • They are read as "negative" followed by the number. So, \(-1\) is spoken as "negative one".
  • In our example, \(-1\) signifies being one unit in the negative direction on the number line.
Understanding negative numbers is fundamental for performing operations like subtraction and comparing numerical values in different contexts.
Subtraction
Subtraction is one of the basic operations in mathematics. It represents the process of removing a value or decreasing a quantity.
The symbol used for subtraction is the minus sign (-), indicating a reduction.
  • In the expression \(-1 - (+4)\), the minus sign operates between two numbers, guiding the removal of the second from the first.
  • The expression can be read as "subtract positive four from negative one," emphasizing the direction of subtraction.
  • Subtraction can also be thought of as adding the opposite or negative of a number.
When dealing with subtraction of positive numbers from negative numbers, such as in this exercise, the result moves further into negative values.
Positive Numbers
Positive numbers are greater than zero and are often used to describe quantities of growth, accumulation, or gain. They usually appear without a sign, implying their positive nature, but can also be explicitly marked with a plus sign (+).
  • Positive numbers include all the numbers greater than zero, such as 1, 2, 3, and so on.
  • If the number has a plus sign before it, like \(+4\), it is still read as just "four," but translated to highlight its positive attribute as "positive four."
  • In mathematical expressions, positive numbers signify adding or counting forward on the number line.
Recognizing positive numbers allows for better comprehension of mathematical operations, especially when combined with subtraction and negative numbers as in the exercise.

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Most popular questions from this chapter

How many units are there between the given pair of numbers? -1 and 1

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