Types of Decimals

There are three basic types of decimals in maths. These are:

  • Recurring Decimals
  • Non-Recurring Decimals
  • Decimal Fractions

Recurring Decimals

Recurring decimals are numbers that have a repeating pattern of one or more digits after the decimal point. The repetition is indicated by a bar placed over the repeating part. For example, the recurring decimal representation of 1/3 is 0.333…, denoted as 0.[Tex]\bar{3}[/Tex]

Non-Recurring Decimals

Non-recurring decimals are numbers where the decimal expansion does not repeat. The digits after the decimal point do not form a recurring pattern. An example is 0.274, where the digits 2, 7, and 4 do not repeat in a predictable manner.

Decimal Fractions

Decimal fractions are numbers that fall between two consecutive integers on the number line and are expressed in decimal form. These numbers have a finite number of digits after the decimal point. For example, in the decimal fraction 0.75, the digits 7 and 5 represent the fractional part, and there is no recurring or infinite pattern.

Decimals

Decimal is a numerical representation that uses a dot, which we call a decimal point, to separate the whole number part from its fractional part. The decimal numeral system is used as the standard system that is used to distinguish integer and non-integer numbers.

In this article, we will understand what decimals are, the place value of decimals, and how to round decimals along with some solved examples based on it.

Table of Content

  • What are Decimals?
  • Decimals Place Value Chart
  • Decimals Properties
  • Types of Decimals
  • Arithmetic Operations on Decimals
  • Rounding Decimals

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What are Decimals?

Decimals are numerical representations that extend our understanding of whole numbers by introducing a fractional component. In the decimal system, numbers are expressed in units, tenths, hundredths, and so forth, with each digit’s position indicating a specific decimal place value. This system allows for precise representation of values lying between two whole numbers, facilitating more accurate measurements and calculations in various fields....

Decimals Place Value Chart

In the chart given below, you will see that from the tenth place, there is only 1 digit after decimal. Still, we count it as the tenth-place value. This is because decimals also take a place value....

Decimals Properties

The properties of decimals under multiplication and division operations are as follows:...

Types of Decimals

There are three basic types of decimals in maths. These are:...

Arithmetic Operations on Decimals

Arithmetic operations on decimals involve addition, subtraction, multiplication, and division, following similar principles as whole numbers....

Rounding Decimals

Rounding decimals means approximating a decimal number to a specified place value. For example, rounding 3.78 to the nearest tenth results in 3.8, as it is closer to 3.8 than 3.7....

Comparing Decimals

Comparing decimals involves determining which decimal is greater or smaller. Follow these steps:...

Decimals to Fraction

The conversion of decimal to fraction or vice versa can be performed easily....

Decimal Conversion Examples

Few examples of Decimal Conversion are as follow:...

Solved Examples on Decimals

Example 1: Compare 4.67 and 4.678. Which decimal is greater, and by how much?...

Practice Questions on Decimals

Q1. Compare 0.325 and 0.53. Determine the relationship between these decimals and express it using the symbols “>” or “<“....

Decimals Frequently Asked Questions

What does Decimal 0.5 Mean?...