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Chapter 1: Problem 11

In Exercises \(1-72\), compute the value of each expression. $$5-(+8)$$

Short Answer

Expert verified
The value of the expression is \(-3\).

Step by step solution

01

Identify the Expression

In the given problem, the expression to compute is \(5 - (+8)\).
02

Interpret the Terms

The expression contains a subtraction operation and the terms \(5\) and \(+8\). The \(+8\) simply signifies 8.
03

Apply the Operation

Carry out the subtraction: \(5 - 8\).
04

Compute the Final Answer

After performing the subtraction, you get \(-3\).

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Key Concepts

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

subtraction operation
The subtraction operation is a fundamental part of elementary algebra. It involves taking one number away from another. In our exercise, we have the expression \(5 - (+8)\). Let's break this down:
- Subtraction is represented by the minus sign (-).
- Here, we are subtracting \(+8\) from 5.
This action involves finding the distance between two numbers on the number line and can often result in decreasing the value. When we perform the operation \(5-8\), we essentially move 8 steps to the left from 5, resulting in -3.
interpreting terms
Before we can perform operations like subtraction, it's essential to interpret the terms in the expression properly. In our example:
- The term '5' is straightforward; it signifies the number 5.
- The term '(+8)' can be a bit confusing, but it's just another way of writing 8. The plus sign doesn't change its value; it simply reiterates that the number is positive.
Interpreting terms correctly ensures that we handle them appropriately in different operations. For instance, recognizing that (+8) is the same as 8 allows us to proceed with the subtraction without confusion.
negative numbers
Negative numbers are numbers less than zero. They play a crucial role in algebra. When we subtract a larger number from a smaller one, as in \(5 - 8\), we end up with a negative number. Here's how it works: start from 5 and move 8 steps to the left on the number line. These steps take you past zero, landing at -3.
Understanding negative numbers:
  • Negative numbers are represented with a minus sign (-) before the number.
  • They appear to the left of zero on a number line.
  • Subtracting a larger number from a smaller one results in a negative outcome.
    • By grasping these concepts, handling operations with negative numbers becomes more intuitive.

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Most popular questions from this chapter

If possible, list three numbers that are members and three numbers that are not members of the given set. If it is not possible, explain why. \(\\{x | x \text { is a real number but not an integer }\\}\)

Compute the given expression. Round off your answer to two decimal places where necessary. $$\frac{-6}{1.5}+\frac{21.6}{-1.2}$$

Evaluate the given expression. Remember to follow the order of operations. $$30-(5 \cdot 4)-2$$

Compute the given expression. Round off your answer to two decimal places where necessary. $$ \frac{-12.5}{2.5} $$

Evaluate the given expression. Remember to follow the order of operations. $$6+(4 \cdot 3)+2$$
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