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Chapter 1: Problem 12

In Exercises \(1-72\), compute the value of each expression. $$4-(+9)$$

Short Answer

Expert verified
-5

Step by step solution

01

Understand the Expression

The given expression is \(4 - (+9)\). Notice that \(+9\) can be simplified to just \(9\).
02

Simplify the Expression

This simplifies our expression to \(4 - 9\).
03

Perform the Subtraction

Subtract 9 from 4: \(4 - 9 = -5\).

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Key Concepts

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

headline of the respective core concept
Simplifying expressions may seem tricky at first, but it's all about understanding and breaking down the components. In our given exercise, we had the expression \(4 - (+9)\).

The first important step in simplifying expressions is to identify any components that can be reduced. Here, the expression \(+9\) inside the parentheses can be simplified to just \(9\). This gives us a cleaner version of the expression: \(4 - 9\).

Remember, simplifying is all about making things easier to work with. It eliminates any unnecessary complexity and allows us to focus on the core arithmetic operation.
headline of the respective core concept
Negative numbers often seem confusing, but they follow simple rules. When we have to subtract a larger number from a smaller number, the result is always a negative number.

In our problem, we simplified the expression to \(4 - 9\). Here, 4 is smaller than 9. When we subtract 9 from 4, we have: \[4 - 9 = -5\]

The negative sign in front of the result indicates that we have moved left of zero on the number line. Understanding this concept helps you to comfortably work with negative numbers and solve such problems more confidently.
headline of the respective core concept
Basic arithmetic is the foundation of solving expressions. It involves the simple operations of addition, subtraction, multiplication, and division. For our exercise, we need to perform basic subtraction.

We started with the simplified expression \(4 - 9\). Subtracting is just the process of taking one number away from another. Practically, you can think of it as starting with 4 things and removing 9 things, which leaves you with a shortage of 5 things or \(-5\).

Knowing how to handle basic arithmetic operations is essential because it applies to all areas of math. Mastering these simple operations prepares you for more complex mathematical challenges.

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Most popular questions from this chapter

Compute the given expression. Round off your answer to two decimal places where necessary. $$5.2-1.4(2.8-0.7)$$

Sketch the given set on a number line. $$\\{x | x<2\\}$$

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. \(\\{x | x \text { is a real number but not an integer }\\}\)

In Exercises \(1-72\), compute the value of each expression. $$100-83-45-24$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{18-4 \cdot 2}{13-4 \cdot 2}$$
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