Rational and Decimal Numbers

There are many types of numbers in mathematics, and one of the most important among them is rational numbers; these encompass numbers such as fractions, decimal expressions, and integers. Rational numbers are numbers that can be expressed as the quotient of two integers, meaning they can be written in “fractional” form. These numbers are used in every aspect of our lives, from daily calculations to scientific research.

Within the scope of this topic, fractions and types of fractions will be examined first. These concepts include comparing the magnitudes of fractions and defining equivalent fractions according to certain rules. Following that, rational numbers along with ordering and operations on rational numbers will be addressed. In these sections, the addition, subtraction, multiplication, and division operations of rational numbers will be explained in detail.

Decimal numbers are also included within rational numbers, and it is highly beneficial to learn the decimal expansions of numbers and their operational rules. Since rational numbers can be expressed as decimal numbers, the decimal expansions of rational numbers will also be detailed in this section.

The headings we will cover within the topic can be listed as follows:

• Fractions and Their Types
  • Types of Fractions
• Rational Numbers
  • Ordering Rational Numbers
  • Operations on Rational Numbers
• Decimal Numbers
  • Operations on Decimal Numbers
• Decimal Expansions of Rational Numbers
  • Repeating (Recurring) Decimal Expansions

  • Decimal Expansions of Rational Numbers That Cannot Be Converted into Finite Decimals

  • Writing a Repeating Decimal in Rational Fraction Form

  • Repeating Decimal Expansions

  • Rounding Decimal Fractions

Within the framework of these headings, understanding of the subject will be ensured by focusing on a wide range of solved questions and examples.