91Ó°ÊÓ

The absolute value of a number represents its distance from zero on the number line. It doesn't matter if the number is positive or negative; the absolute value is always a non-negative number.
For example, when you see something like \(|-3|\), this means "what is the distance from zero?". Even though -3 is a negative number, its absolute value is 3. Similarly, |7.5| or |-7.5| both equal 7.5.
Absolute values are crucial when simplifying expressions because they ensure that values inside the brackets are always treated as positive quantities. This concept is especially useful in real-life situations where only the magnitude of a number matters, such as calculating distances.

The order of operations is the rule that tells you the sequence in which calculations should be performed in a mathematical expression. To remember the steps, you can rely on the acronyms BIDMAS or PEMDAS:

• Brackets/Parentheses
• Indices/Exponents
• Division and Multiplication
• Addition and Subtraction

This sequence ensures that everyone processes mathematical expressions the same way. For instance, in the original exercise, we start by solving the expression inside the absolute value brackets first: \(8.6 + (-1.1)\). Adding within the brackets before addressing the absolute value ensures accuracy.
Following the correct order is foundational in math as it leads to consistent and correct results regardless of who interprets the expression.

Arithmetic operations are the basic building blocks of mathematics. They include addition, subtraction, multiplication, and division. Each operation has its distinct role, but they often work together to simplify mathematical expressions.
In our exercise, we focused mainly on addition which involved combining numbers like \(6.8 + 7.5\). It’s essential to pay attention to signs when adding numbers, especially when dealing with negative numbers. For example, \(8.6 + (-1.1)\) was simplified by adjusting the sign of -1.1 before performing the addition.
Being proficient in arithmetic operations allows you to approach and solve a variety of problems effectively, giving you a solid foundation in mathematics.